Application Of Graph Theory In Real Life

Materials covering application of graph theory often fail to describe the basics of the graphs and their characteristics. 4 Sketches and probabilistic counting: distance distribution and other applications. Introduction to Graph theory by DOUGLAS B. Graph theory has provided very nice atmosphere for research of provable technique in discrete mathematics for researches. History of Graph theory The origin of graph theory started with the problem of Koinsber Bridge, in 1735. The Graph API is a revolution in large-scale data provision. More data in a graph. Graph theory was first introduced by Leonhard Euler in his solution to the Königsberg bridge problem in 1736. 2), is an unweighted, undirected graph containing no graph loops or multiple edges (Gibbons 1985, p. org » Join the initiative for modernizing math education. 46 issued under the Texas Education Code, §§7. tion between spectral graph theory and di erential geometry. Hyperedges, hypergraphs. Use of software to solve graph-theoretic problems. In 1969, the four color problem was solved using computers by Heinrich. Definition 1 ([23]). These networks contain. This simple structure can be used to represent many real-life applications such as a road network, communication network and a biological network. Shojaei, Iman, A Graduate of College of. Proper coloring of a graph is an assignment of colors either to the vertices of the graphs. Graphs are one of the simplest mathematical structures. Graph theory is rapidly moving into the mainstream of mathematics mainly because of its applications in diverse fields which include biochemistry (genomics), electrical engineering (communications networks and coding theory), computer science (algorithms and computations) and operations research (scheduling). Product Type: Book Edition: 3 First Published: 2021 Hardcover: 978-0-323-79692-7. Howard Gardner is a psychologist and Professor at Harvard University 's Graduate School of Education. One of the future foreseen application fields of cellular networks is to provide efficient network connectivity to cyber physical systems for the required data transactions between. Graph theory modelery, applications and algorithms by GEIR AGNARSSON RAYMOND GREENLAW. Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. Applying course techniques to model real life. CS6702 Graph Theory and Applications Syllabus. The decision about which side of the membrane to call "high" osmotic pressure is a troublesome one. Graph Theory Basics De nition of a Graph A graph consists of a triple of information (V(G), E(G), ˚ G) V(G) is a non-empty set called the vertices E(G) is a set called the edges ˚ G is called the incidence function which associates to each edge an unordered pair of vertices A graph is often represented by a picture with points as. The Dynamic Shortest Path (DSP) problem is to compute T sfrom T. The model we are going to use is called edge-based compartmental model which was introduced by Joe C. It has a normative interpretation which economists particularly used to think applies in all situations to rational agents but now tend to regard as a useful and insightful first order approximation. Real World Applications. Definition 1 ([23]). But, how calculus helps us in real life? This is a common question…. The complete graph with n vertices is denoted by Kn. Product Type: Book Edition: 3 First Published: 2021 Hardcover: 978-0-323-79692-7. Same method as for undirected graphs Every undirected graph is a digraph • happens to have edges in both directions • BFS is a digraph algorithm Visits vertices in increasing distance from s Put s onto a FIFO queue. See full list on javatpoint. Swift Analysis of Civil Engineering Structures Using Graph Theory Methods. Advanced algebra factoring made easy, solve quadratic in maple, Algebra 2 Worksheets 63, free simplifying radicals calculator. A vertex represents the entity (for example, people) and an edge represents the relationship between entities (for example, a person's friendships). Graph theory and combinotrics by RALPHP GRIMALDI. The proper coloring of a graph is the coloring of the vertices with minimal number. i i heritage institute of technology dept. The study of graph symmetries is closely related to the fields of group theory, as well as graph theory, and the symmetry of a given graph is measured principally from a group-theoretic viewpoint. Clustering techniques have also been found extremely useful in handling specific design constraints. The subject of graph theory had its beginnings in recreational math problems (see number game), but it has grown into a significant area of mathematical research, with applications in chemistry, operations research, social sciences, and computer science. • Number theory is used in Cryptography (study of hiding information) for creating codes for ATM/Credit cards. the real life Networks like Google and Facebook work using concepts of graph theory like degree of a vertex and adjacency. Course Structure: You will watch course videos and do exercises before class. We will also use differentiation to explore elasticity of demand and related rates. Traditionally, these courses have covered the theoretical aspects of groups, rings, and fields. program construction field. Graph theory clearly has a great many potential applications in finance. Scientific claims—especially those with practical and policy applications—are typically used for purposes that are best served by public evaluation. Graph theory and combinotrics by RALPHP GRIMALDI. ZIB | Zuse Institute Berlin (ZIB). Reviews This book is intended for readers working on problems that can be represented as a network or generally as a connected Euclidean graph. 1 Two applications of group theory. Making the production of low cost and most reliable components at a high rate is possible. Introduction to Graph Theory Worksheet Graph Theory is a relatively new area of mathematics, rst studied by the super famous mathematician Leonhard Euler in 1735. Start Your Personalized Learning Journey for FREE! Sign Up. This text is intended for a one- or two-semester undergraduate course in abstract algebra. hypergraphs, perfect graphs. Graph theory as a method of improving chemistry and mathematics curricula. Stack Exchange network consists of 176 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers. 4 Sketches and probabilistic counting: distance distribution and other applications. The graph would be a straight line. Let G =(V,E,w) be a simple digraph, in which all edge weights are non-negative real numbers. Trigonometry comes from the Greek words ‘trigōnon’ which means ‘triangle’ and ‘metria’ which means ‘measure’. i would like to get details on application of graph theory in real life ppt. Product Type: Book Edition: 3 First Published: 2021 Hardcover: 978-0-323-79692-7. He called them “pure mathematics,” and for him the purest of the pure was number theory, a branch of math that studies the properties of numbers. A graph in this context is made up of vertices (also called nodes or points) which are connected by edges (also called links or lines). The use of combinatorics in solving counting and construction problems is covered using topics that include algorithmic graph theory, codes and incidence structures, and combinatorial complexity. Despite the long history of graph theory (Euler developed it in the 18th century), its application on epidemic dynamic is a piece of cutting-edge technology. (Chapter 5) Real Life Application of Binomial Theorem Posted on March 1, 2013 by rifanirsyandi As we learned in Chapter 5. Statutory Authority: The provisions of this §111. Underpinned by a strongly-typed RAM store and a general computation engine, Graph Engine helps users build both real-time online query processing applications and high-throughput offline analytics systems with ease. We also take a look at the problem that Euler first solved to understand graphs. In sum, the finding that many forms of complex real-life behavior conform to strange attractors offers the best hope that chaos theory can be put to good use in guiding scientific research. The actual meaning of the values will depend on the labels and units shown. For example, say you were walking at a constant speed, and at every point in time you charted how far you walked. Let's discuss what a matching of a graph is and. Most people have heard of it: most internet data is being tracked by big corporations!. In this article, we have shown some direct applications of discrete. General theory of Graphs In this chapter, we present the background from the general graph theory. graph theory and is divided into 38 subfields ranging from planar graphs to connectivity, random walks or hypergraphs), then we find for the period 2011–2015 between 3,300and 3,700papers published every single year. On The Graph API, everything is a vertice or node. Brückler, Dept. Now, Graph Theory has many applications and I love working with things that have real-world applications, well, off course the other data structures too have their uses but the speciality of Graph Theory is its applications have the closest association with our day-to-day activities. 9 Real Life Examples Of Normal Distribution The normal distribution is widely used in understanding distributions of factors in the population. Another interesting concept in graph theory is a matching of a graph. It has a normative interpretation which economists particularly used to think applies in all situations to rational agents but now tend to regard as a useful and insightful first order approximation. This was the crux of a product life cycle theory and the graph of a product’s life cycle looks like a bell-shaped curve. so can you please list me the head lines that I need to research about. Assignment: Application of Graph Theory. This are entities such as Users, Pages, Places, Groups, Comments, Photos, Photo Albums, Stories, Videos, Notes, Events and so forth. We next focus on the simplest channel, the BEC, where belief propagation. Graph theory has applications in all of these and thus is quite popular, be it mathematics, computer science, biosciences, information technology, or linguistics. Some of the real-life applications of the straight line graph are given below: Future contract markets and opportunities can be described through straight line graphs. When you want to talk about the real-life applications of graphs, you just cannot resist talking about the Facebook’s Graph Search!. It has of course uses in social sciences, in linguistics and in numerous other areas. In those problems, the graph emerges as a mathematical graphical model of the observed real‐life problems. number, Standard graphs, Arithmetic Graph. The graph would be a straight line. According to your needs or budgets, software that offers you charts or graphs helps greatly simplify your life, especially in business. See full list on blog. The properties of such graphs are studied in great detail and accompanied by many experimental results. Graph Coloring: Applications. This problem was posed as long ago as 1800 by the Iris mathematician Hamilton, and rose drastically in popularity in the 1950s and 60s. Introduction Stage. Applications of Graph Theory in Real Life Sharathkumar. This paper is an exploration of recent applications of spectral graph theory, including the fields of chemistry, biology, and graph coloring. It is felt that studying a mathematical problem can often bring about a tool of surprisingly diverse usability. represented as edges and graph theory is used to find shortest path between two nodes. ) for a speci c given graph Be able to understand and execute the algorithms to compute graph. 1 Notions of Graphs The term graph itself is defined differently by different authors, depending on what one wants to allow. Do you have PowerPoint slides to share? If so, share your PPT presentation slides online with PowerShow. Jeba Presitha1 1 Department of Mathematics, Dr. Roughly, the above numbers mean that in a megabyte of memory you can fit for example a graph of about 1000 vertices and about 2500 edges. Underpinned by a strongly-typed RAM store and a general computation engine, Graph Engine helps users build both real-time online query processing applications and high-throughput offline analytics systems with ease. Graphs also play an important role in transportation and navigation. The third aspect, namely factor graphs, combines the trellis and Tanner graph approaches and there is a very general sum-product algorithm for general graph-based codes. Students Who Struggle With Math Might Just Be Turned Off To "school Math," Which Is Heavy On Memorization And Following Rules And Light On Creativity And Real Applications. It also happens, quite often in fact, that branches. Social media is one example that is used by millions of people who are completely unaware that their friends list is in essence a very large graph. Aircraft scheduling: Assuming that there are k aircraft and they have to be assigned n flights. In 1969, the four color problem was solved using computers by Heinrich. Graph theory, branch of mathematics concerned with networks of points connected by lines. 025, as that section existed before amendment by House. Other applications include the outer sphere electron transfer frequently encountered in chemical and biological systems and modelling real estate prices. Algebra Differential Equations and Fourier Analysis Differential and Computational Geometry Probability and Statistics Numerical Analysis Operations Research and. A Quick Primer on Sampling Theory The signals we use in the real world, such as our voices, are called "analog" signals. This application is frequently used in architecture, woodworking, or other physical construction projects. of graph theory with relations allows a formal compact presentation of well-known facts! as weB as the development of novel proofs. An important part of combinatorics is graph theory, which is now connected to other disciplines including bioinformatics, electrical engineering, molecular chemistry and social science. We explaine. aimed at the reader with little basic knowledge of graph theory, and it introduces the reader to the concepts of interval graphs and other families of intersection graphs. 3 What is an Algorithm?  All real-world problems are solved with computers. Complex network theory can be thought of as a subfield of statistical physics for structurally disordered, dynamically heterogeneous systems with non-trivial topology; and as an extension of graph theory to systems with high structural heterogeneity and ‎inherently dynamical properties, two key properties of the vast ‎majority of real-life. It's often said that mathematics is useful in solving a very wide variety of practical problems. A Quick Primer on Sampling Theory The signals we use in the real world, such as our voices, are called "analog" signals. The field of Graph Theory plays vital role in various fields. Kirkman William R. See full list on gatevidyalay. The graphs of figure 1. As an effective modeling, analysis and computational tool, graph theory is widely used in biological mathematics to deal with various biology problems. The original data are plotted on the x axis of a graph, while the time-lagged data are plotted on the y axis, to allow quick comparison. Some results, 3. Graph summarization and sampling; Game Theory, Social contagion and Information propagation on networks. A, Final year, Dept of CSE, Anna University, Villupuram Email: [email protected] Able to recognize the coherency among the di erent areas of graph theory. While an analog signal is continuous in both time and amplitude, a digital signal is discrete in both time and amplitude. Brückler, Dept. It has a normative interpretation which economists particularly used to think applies in all situations to rational agents but now tend to regard as a useful and insightful first order approximation. graph coloring and its applications 1. graphs, the SNRand can simulate the real-life data and SNRank can simulate the most critical situation where activities in social networks are very intense. An excellent international team of editors and contributors provides an up-to-date outlook for the field, covering a broad range of graph entropy-related concepts and methods. Conclude how you will apply graph theory in your area of specialization. applications of graph spectra involve the largest or second largest or smallest eigen-value, or interlacing, topics that are discussed in Chapters 3–4. 2; West 2000, p. Topics such as the isomers of alkanes, the importance of eigenvalues in. A graph is basically a model of relations, and it is a used to represent the real-life problem consisting of relationships between objects. The edges of the trees are called branches. D January 2010 FIGURE 1. Operations research deals a lot with graph theory. It has a normative interpretation which economists particularly used to think applies in all situations to rational agents but now tend to regard as a useful and insightful first order approximation. Materials covering application of graph theory often fail to describe the basics of the graphs and their characteristics. [1] The second part, the inference engine, allows new knowledge to be inferred. Weighted graphs, are used to represent structures in which pairwise connections have some numerical values. Graph theory is a branch of mathematics that allows you to describe sets of objects together with their relationships; it was born in 1700 with Leonhard Euler. Various coloring methods are available and can be used on requirement basis. 002, and 28. This paper gives an overview of applications of graph theory in heterogeneous fields but focuses on Computer Science applications that uses graph theoretical concepts. Graph theoryis the study of graphs and is an important branch of computer science and discrete math. And although his work is extensive, Erikson’s stages of life theory is one of his most recognized models. Real-Life Applications of Straight-Line Graph. Graph databases and graph processing have been voted the “future of database technologies” by many leading business publications and news sites, which is aptly reflected in the article Graph. Graph Coloring: Applications. Becausesuitable problem s are selected in graph. When applied to the spread of disease, graph theory, when equipped with relevant data can elucidate the mechanisms and paths that disease takes in a population. Here is the graph of the Parabola h = −5t 2 + 14t + 3. Primer in Graph Theory vely new discipline Developed by Erdos and Remyi Applied to disciplines ranging from sociology to biology to computer science. Underpinned by a strongly-typed RAM store and a general computation engine, Graph Engine helps users build both real-time online query processing applications and high-throughput offline analytics systems with ease. Weighted graphs, are used to represent structures in which pairwise connections have some numerical values. Other common approaches in addition to a subsumption ontology include frames, conceptual graphs, and logical assertions. For the DSP problem, we. Some of the real-life applications of the straight line graph are given below: Future contract markets and opportunities can be described through straight line graphs. Simply stated, the core decomposition of a network (graph) assigns to each graph node v, an integer number c(v) (the core number), capturing how well vis connected with respect to its neighbors. Students will demonstrate an understanding of trees and spanning trees in graph theory. Almost all real-life applications of fuzzy logic involve the use of linguistic variables. It have lot of applications in modern society. Matching Theory. Many of the complex codes and algorithms used in various languages of coding, network addressing, database management etc. In 1969, the four color problem was solved using computers by Heinrich. The Dynamic Shortest Path (DSP) problem is to compute T sfrom T. Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. Graph Theory and Its Applications (Textbooks in Mathematics) Neighbors App Real-Time Crime & Safety Alerts trade it in, give it a second life :. We will use the graph theory to show how the relationship between the components has changed through years. He has written over 180 publications in his research areas. As its name suggests, it is the study the sides and angles, and their relationship in triangles. In graph theory, the shortest path problem is the problem of finding a path between two vertices (or nodes) in a graph such that the sum of the weights of its constituent edges is minimized. It is anticipated that the work presented in this dissertation will encourage future research in application of graph theory and data mining to other Smart. On The Graph API, everything is a vertice or node. She finds the real-life applications of this technology to be fascinating and exciting. Sarada Herke (YouTube) Applications of Graph Theory to Real Life Problems Universitat Politècnica de València - UPV Application of Graph Theory in the Real World Application of Graph Colouring Dr. Hamilton Hamiltonian cycles in Platonic graphs Graph Theory - History Gustav Kirchhoff Trees in Electric Circuits Graph Theory - History. Jeba Presitha1 1 Department of Mathematics, Dr. Because of its inherent simplicity, graph theory has a wide range of applications in engineering, and in physical sciences. The paper equally gave some practical applications of Vertex coloring in real life situations such as scheduling, allocation of channels to television and radio stations, separation of chemicals and traffic light signals. Do you have PowerPoint slides to share? If so, share your PPT presentation slides online with PowerShow. 3 What is an Algorithm?  All real-world problems are solved with computers. Underpinned by a strongly-typed RAM store and a general computation engine, Graph Engine helps users build both real-time online query processing applications and high-throughput offline analytics systems with ease. In real-life situations, the graph two common alternative definitions for an optimal path under uncertainty been. The algorithm itself is perhaps more linear algebra than graph theory (it looks for an eigenvector for the graph's adjacency matrix), but given that the majority of the Earth population uses it on a daily/weekly basis, it should definitely count as an important real world application of graphs. In mathematics, graphs are useful in geometry. The field of Graph Theory plays vital role in various fields. 3 Uncertainty Methods 118 8. 1 Notions of Graphs The term graph itself is defined differently by different authors, depending on what one wants to allow. Consider a triangle with vertices at (x 1,y 1), (x 2,y 2), and (x 3,y 3). Graph Theory Secrets That No One Else Knows About. Graph theory Po-Shen Loh June 2013 1 Basic results We begin by collecting some basic facts which can be proved via \bare-hands" techniques. Elegans (Barabasi, et al. Rhyd Lewis (YouTube) Dijkstra's Algorithm for finding minimum weight (shortest path) in a graph YouTube. [1] The second part, the inference engine, allows new knowledge to be inferred. INTRODUCTION Graph theory is one of the most flourishing branches of modern mathematics and computer applications. Some of the real-life applications of the straight line graph are given below: Future contract markets and opportunities can be described through straight line graphs. Product Type: Book Edition: 3 First Published: 2021 Hardcover: 978-0-323-79692-7. Let G be obtained from G by the application of a set of edge weight updates to G. It is this simplicity that allows them to model a broad range of real life situations such as social networks, telecommunication networks or road networks. For example, we will later see how graph coloring techniques can be applied to assigning frequencies to radio stations, scheduling club meetings, and coloring the. For the DSP problem, we. They can be used to model many types of relations and process dynamics in computer science, physical, biological and social systems. of sparse graph codes, specifically LDPC codes, becomes clear from a complexity standpoint. A* search relies on a knowledge and heuristic cost function for the given node as a way to decide which node it should visit next. Other applications include the outer sphere electron transfer frequently encountered in chemical and biological systems and modelling real estate prices. details of graph theory fail to give brief details about where those concepts are used in real life applications. Emphasizing their application to real-world systems, the term network is sometimes defined to mean a graph in which attributes (e. Get homework help fast! Search through millions of guided step-by-step solutions or ask for help from our community of subject experts 24/7. Algebra Differential Equations and Fourier Analysis Differential and Computational Geometry Probability and Statistics Numerical Analysis Operations Research and. The theory of graphs is an integral part of Mathematics. Calculus of weighted directed graphs can be used to model functional relations directly. See full list on javatpoint. detail of graph theory fail to give brief details about where those concepts are used in real life applications. See full list on buyonlineclass. Now coming back to real life examples of set, we have seen that in kitchen,. Underpinned by a strongly-typed RAM store and a general computation engine, Graph Engine helps users build both real-time online query processing applications and high-throughput offline analytics systems with ease. Expected utility theory is a theory about how to make optimal decisions under risk. Stack Exchange network consists of 176 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers. ics]: Graph Theory General Terms Theory, Design, Analysis Keywords Streaming model, complete graphs, heavy eigen-hitter 1. [5] Fold bifurcations and the cusp geometry are by far the most important practical consequences of catastrophe theory. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new bran­ ches. As an effective modeling, analysis and computational tool, graph theory is widely used in biological mathematics to deal with various biology problems. 1 Notions of Graphs The term graph itself is defined differently by different authors, depending on what one wants to allow. The authors of this paper make an attempt to give basics fundaments of graph theory. The graph Kn is regular of degree n-1, and therefore has 1/2n(n-1) edges, by consequence 3 of the handshaking lemma. Topics in Pre-Algebra. Scientific claims—especially those with practical and policy applications—are typically used for purposes that are best served by public evaluation. Mathematics is an important part of our life. Despite its historical background and very exciting developments since its birth, graph theory was unable to prove useful when studying complex networks. (Chapter 5) Real Life Application of Binomial Theorem Posted on March 1, 2013 by rifanirsyandi As we learned in Chapter 5. Very often we make use of counting, multiplication, addition, percentages and so on. A graph is a data structure for storing connected data like a network of people on a social media platform. Based on his study of many people from many different walks of life in everyday circumstances and professions, Gardner developed the theory of multiple intelligences. Directed Graph. Facebook's Graph API is perhaps the best example of application of graphs to real life problems. However, with the development of computing in the last several decades, applications that involve abstract algebra and discrete mathematics have become increasingly important, and many science, engineering. Examples of Graphs Dr. Get homework help fast! Search through millions of guided step-by-step solutions or ask for help from our community of subject experts 24/7. It will cover a broad range of the topics in graph theory and its applications. Krishna murti. In fact, any network may be modeled by a graph and the methods of graph theory can be implemented conveniently to solve various problems in these networks. The Electronic Journal of Graph Theory and Applications (EJGTA) is a refereed journal devoted to all areas of modern graph theory together with applications to other fields of mathematics, computer science and other sciences. Expected utility theory is a theory about how to make optimal decisions under risk. In Google Maps, various locations are represented as vertices or nodes and the roads are represented as edges and graph theory is used to find the shortest path between two nodes. Graph theories [-] have several real‐life applications in the area of computer science, transportation, physics, systems analysis, biology, economics, astronomy, and operations research. Prove that a complete graph with nvertices contains n(n 1)=2 edges. The three spanning trees G are: We can find a spanning tree systematically by using either of two methods. The model is. You can find everything from closely reasoned apologetics for the major faiths, to New Age life guides in the same place. This concept is especially useful in various applications of bipartite graphs. It shows you the height of the ball vs time. Rocio Chongtay, University of Southern Denmark. An excellent international team of editors and contributors provides an up-to-date outlook for the field, covering a broad range of graph entropy-related concepts and methods. For example, f(x) = x3- 4x2+ 4x has a relative minimum of 0. Starting in the 17th century with notions of recursion, fractals have moved through increasingly rigorous mathematical treatment to the study of continuous but not differentiable functions in the 19th century by the seminal work of Bernard Bolzano, Bernhard Riemann, and Karl Weierstrass, and on to the coining of the word fractal in the 20th century with a subsequent burgeoning of interest in. The sum of all of the degrees is equal to twice the number of edges. Stack Exchange network consists of 176 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers. Now coming back to real life examples of set, we have seen that in kitchen,. Let us now see few applications of graphical models: 2. 002, and 28. I tried looking for the possible use of Algorithms (Breadth First Search example or A* application) used in GPS navigation on the web, but I couldn’t find a lot of details. A multilingual (English and Assamese) web magazine dedicated to publishing well researched and original articles on mathematics in particular and science in general. It is also widely used in sociology as a way, for example, to measure actors' prestige or to explore diffusion mechanisms, notably through the use of social network analysis software. Exposure to career paths and research areas in the sciences. This article gives the application of connectivity (vertex or edge) in traffic management problems in an efficient way by minimizing the waiting time of the traffic participants and the cost to locate the sensors at. 2 Integration of a (Crisp) Real-Valued Function over a Fuzzy Interval 103 7. In this chapter we will cover many of the major applications of derivatives. Since then, graph theory has become an active area of study in mathematics due both to its wide array of real life applications in biology, chemistry, social sciences and computer networking, and to its interactions with other branches. Students will demonstrate an understanding of the graph coloring problem. Other applications include the outer sphere electron transfer frequently encountered in chemical and biological systems and modelling real estate prices. Straight line graph used in medicine and pharmacy to figure out the accurate strength of drugs. 3 What is an Algorithm?  All real-world problems are solved with computers. Most commonly, it can take the form of IF-THEN rules[2] coupled with forward or backward chaining approaches. You will have a Practical foundation to build your application using Cypher and Gain real time insights from your data. Let G =(V,E,w) be a simple digraph, in which all edge weights are non-negative real numbers. We will use the graph theory to show how the relationship between the components has changed through years. Calculus of weighted directed graphs can be used to model functional relations directly. Math 423 Graph Theory Read in Bondy and Murty sections 1. As an example, we could have a chemical reaction in a beaker start with two. Furthermore the development and application of a scientific theory typically requires collaboration and in many cases is promoted by competition. Know the computational methods of graph theory. Or you have learned about graphs in an introduction to computer science lecture. Strong component applications. 1 Using First Derivatives to Classify Maximum and Minimum Values and Sketch Graphs. Whether it be chemistry, genetic studies or modern computing, application of graph theory is endless. In 1969, the four color problem was solved using computers by Heinrich. This directly reflects a pretty ordinary aspect of our world. On The Graph API, everything is a vertice or node. Complex Data Set and queries - We practice complicated queries on huge Data Sets of Game of Thrones. Graph theory is rapidly moving into the mainstream of mathematics mainly because of its applications in diverse fields which include biochemistry (genomics), electrical engineering (communications networks and coding theory), computer science (algorithms and computations) and operations research (scheduling). What You’ll Learn 2. Graph summarization and sampling; Game Theory, Social contagion and Information propagation on networks. They can be used to model many types of relations and process dynamics in computer science, physical, biological and social systems. Linear Algebra and its Applications publishes articles that contribute new information or new insights to matrix theory and finite dimensional linear algebra in their algebraic, arithmetic, combinatorial, geometric, or numerical aspects. 2,0) says that −0. Students will demonstrate an understanding of the graph coloring problem. A negative edge is simply an edge having a negative weight. This volume presents a concise yet comprehensive treatment, featuring complete proofs for almost all of its results and numerous exercises. Theory of graphs has been considered to play a vital role when it comes to its application in dealing with real life situations. The solution is a combination of applied graph theory and Geographic Information Systems (GIS), framed into a realistic context to be able to carry out the project. Corin received her Bachelors degree in Mass Media Communications from from the University of North Florida. 2), is an unweighted, undirected graph containing no graph loops or multiple edges (Gibbons 1985, p. The proper coloring of a graph is the coloring of the vertices with minimal number. Real life applications of calculus Calculus is a part of mathematics and is also used in physics. The field of Graph Theory plays vital role in various fields. A beginner’s guide to Graph theory by W. Symbolic Logic. Most commonly, it can take the form of IF-THEN rules[2] coupled with forward or backward chaining approaches. It worth mentioning that all graph are usually classified when we encounter to special graph in modeling of phenomena in real life. A graph is indicated in a compact way, with G = (V, E) , where V indicates the set of vertices and E the set of edges that constitute it. [5] Fold bifurcations and the cusp geometry are by far the most important practical consequences of catastrophe theory. Graph theory serves as an exceptionally beneficial tool in solving combinatorial problems in various fields, such as geometry, algebra, number theory, topology, and social systems. There is an edge from a page u to other page v if there is a link of page v on page u. However, with the development of computing in the last several decades, applications that involve abstract algebra and discrete mathematics have become increasingly important, and many science, engineering. It will cover a broad range of the topics in graph theory and its applications. (G) model a conflict from literature or from a real-life situation as a two-by-two strict ordinal game and compare the results predicted by game theory and by TOM. Title: Microsoft PowerPoint - SpectTut Author: Daniel A. His research interests include: combinatorial algorithms and optimization, graph theory, and the efficient solution of large-scale, real-life problem instances. Understand the application of various type of graphs in real life problem. First is Ramsey’s Theorem, which concerns the existence of monochromatic complete subgraphs of colored graphs that are large enough. Special Worksheets and Keys from our. Salts, acids, and bases are elec-trolytes. Few important real life applications of graph data structures are: Facebook: Each user is represented as a vertex and two people are friends when there is an edge between two vertices. Other applications include the outer sphere electron transfer frequently encountered in chemical and biological systems and modelling real estate prices. Title : Graph Theory. We ask you to first familirize yourself with the concepts of graphs in our tutorial and glossary. A graph is basically a model of relations, and it is a used to represent the real-life problem consisting of relationships between objects. Many of these models\ud are NP-hard and, as a result, exact methods may be impractical for\ud large scale problem instances. The evaluation, on a set of real-life benchmarks, demonstrates that our approach can schedule the tasks in an application, modeled as a cyclic CSDF graph, with guaranteed throughput equal or comparable to the throughput obtained by existing scheduling approaches while providing hard real-time guarantees for every task in the application thereby. I’ll post a pic. Graph theory has provided very nice atmosphere for research of provable technique in discrete mathematics for researches. The theory of graphs is an integral part of Mathematics. A linguistic variable is a variable whose values are words rather than numbers. Practical Applications of Group Theory In real-life situations the application transformational leadership will provide organizations with effective groups. The major areas that widely use graphs are Bio chemistry, Genomics, Electrical engineering – communication networks and coding theory, Computer Science – algorithms and computations, Operation Research – scheduling. Most people have heard of it: most internet data is being tracked by big corporations!. Able to apply the tools and techniques of graph theory. Graph isomorphism checks if two graphs are the same whereas a matching is a particular subgraph of a graph. [1] The second part, the inference engine, allows new knowledge to be inferred. Afterwards, special topics such as trees, groups and graphs, Euclidean representations, and strongly regular graphs are discussed. ics]: Graph Theory General Terms Theory, Design, Analysis Keywords Streaming model, complete graphs, heavy eigen-hitter 1. 2000 Waterloo Maple Inc. This is an example of Directed graph. A graph isomorphic to its complement is called self-complementary. understanding of exponential graph models, how they link to broader net-work theory, and how to fit them to real-life data. Spielman Created Date: 10/23/2007 10:24:24 AM. Anna University CS6702 Graph Theory and Applications Question Papers Collection. Authors: Kaveh, Ali, Faculty Member , School of Civil Engineering, Iran University of Science and Technology. This paper will discuss about graph applications in image filtering. [1] The second part, the inference engine, allows new knowledge to be inferred. A simple graph, also called a strict graph (Tutte 1998, p. we divide each number by the one following it: 1/1, 1/2, 2/3, 3/5, 5/8, 8/13,. Graph Theory gives us, both an easy way to pictorially represent many major mathematical results, and insights into the deep theories behind them. Set theory starts very simple; it only examines one thing i. A negative edge is simply an edge having a negative weight. Or you have learned about graphs in an introduction to computer science lecture. The authors take the kind of material that other authors put in ”applications boxes“ and place it at the heart of their book. It was the basic idea behind Google Page Ranking. Product Type: Book Edition: 3 First Published: 2021 Hardcover: 978-0-323-79692-7. The shortest path algorithm becomes very useful in finding out the least resource intensive path from one node of the network to the other. This was a puzzle from the 17oos – Konigsburg was a Russian city with 7 bridges, and the question was, could anyone walk across all 7 without walking over any bridge twice. Whether you are trying to build dynamic network models or forecast real-world behavior, this book illustrates how graph algorithms deliver value – from finding vulnerabilities and bottlenecks to detecting communities and improving machine learning predictions. If you work in the engineering fields. 1 Using First Derivatives to Classify Maximum and Minimum Values and Sketch Graphs. 1 Basic de nitions of graph theory Degree of Separation and Small World 2 Computing the diameter in huge graphs 3 Computing the distance distribution in huge graphs easily. In many applications of domination 86th issue of the Journal of Discrete mathematics (1990), number, bondage number, or domatic number, it becomes that the theory of domination is a very popular area for re- necessary to construct a graph with as few vertices and/or search activity in graph theory. 0pt'>It was concluded that structured teaching programme was effective in assessing the knowledge on pregnancy induced hypertension among pregnant mothers. However, it turns out that graphs are at the very foundation of many objects, concepts and processes in everyday life. But, how calculus helps us in real life? This is a common question…. Examples of Graphs Dr. Applications Ahead of Theory: They present all the theory that is standard in Principles books. Most commonly, it can take the form of IF-THEN rules[2] coupled with forward or backward chaining approaches. Graph theory is a widely studied topic that is now being applied to real-life problems. The actual meaning of the values will depend on the labels and units shown. Unfortunately, due to the dif- culty of the problem in graph theory, no practical solution has been proposed to solve the issue in large-scale. Starting in the 17th century with notions of recursion, fractals have moved through increasingly rigorous mathematical treatment to the study of continuous but not differentiable functions in the 19th century by the seminal work of Bernard Bolzano, Bernhard Riemann, and Karl Weierstrass, and on to the coining of the word fractal in the 20th century with a subsequent burgeoning of interest in. Graph theory has applications in all of these and thus is quite popular, be it mathematics, computer science, biosciences, information technology, or linguistics. Lets ∈ V, and let T s and T be a Shortest Path Tree (SPT) rooted at s in G and G, respectively. Many application in the computing, industrial, natural and social science are studied by graph theory. This directly reflects a pretty ordinary aspect of our world. Students will be able to apply graph theoretic concepts to real-life scenarios. Anna University CS6702 Graph Theory and Applications Question Papers Collection. Today, management skills are something that you cannot function without – especially in the business world. The concept of a linguistic variable was introduced in my 1973 paper. INTRODUCTION Graphs and networks are suitable descriptors of various real-life environments like social activity, professionalcollab-oration, web activity, etc. 1 Application-oriented Modeling of Uncertainty 111 8. It has of course uses in social sciences, in linguistics and in numerous other areas. Functions of several real variables Geometric representations: graphs and level curves; differentiable functions: characterizations, properties with respect to various operations and applications; second order derivatives: properties and applications; the implicit function theorem, and application to comparative statics. Selected bibliographies on applications of the theory of graph spectra. The concepts that he uncovered can be applied to many real life situaltions. Product Type: Book Edition: 3 First Published: 2021 Hardcover: 978-0-323-79692-7. This paper is an exploration of recent applications of spectral graph theory, including the fields of chemistry, biology, and graph coloring. Erikson, through his theory, became one of the precursors of life cycle studies. machine tool operation, dispatching etc) work on optimized parameters. Do you have PowerPoint slides to share? If so, share your PPT presentation slides online with PowerShow. The theory of fuzzy graphs (FGs) has its own significance as application of fuzzy set (FS) theory has no limits. [1] The second part, the inference engine, allows new knowledge to be inferred. Now we take the S&P500 index and its components. Discover new ways of learning Physics and Chemistry with real-world simulations. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new bran­ ches. Complex network theory can be thought of as a subfield of statistical physics for structurally disordered, dynamically heterogeneous systems with non-trivial topology; and as an extension of graph theory to systems with high structural heterogeneity and ‎inherently dynamical properties, two key properties of the vast ‎majority of real-life. Because the maximum number size for a graph of order five is ten. In this article we will guide you through a practical application of Graph Theory. See full list on hoonzis. Students will demonstrate an understanding of optimization of objects in graph theory. Consequently, the theoretical model of a graph can give both a first insight into the structure as well as a description of the functional relations of the elements of biological systems. Every binary structural relation can be described by a graph. McClelland's theory can help you to identify the dominant motivators of people on your team. Interest in graphs and their applications has grown exponentially in the past two decades, largely due to the usefulness of graphs as models for computation and optimization. Linear Algebra and its Applications publishes articles that contribute new information or new insights to matrix theory and finite dimensional linear algebra in their algebraic, arithmetic, combinatorial, geometric, or numerical aspects. As an effective modeling, analysis and computational tool, graph theory is widely used in biological mathematics to deal with various biology problems. Although water is not an electrolyte, a very small concentration of hydrogen and hydroxide ions are always present in pure water. The gray curve on the left side is the standard normal curve , which always has mean = 0 and standard deviation = 1. In particular, it involves the ways in which sets of points, called vertices, can be connected by lines or arcs, called edges. [5] Fold bifurcations and the cusp geometry are by far the most important practical consequences of catastrophe theory. Introduction to Graph Theory Worksheet Graph Theory is a relatively new area of mathematics, rst studied by the super famous mathematician Leonhard Euler in 1735. Theory of graphs has been considered to play a vital role when it comes to its application in dealing with real life situations. 2), is an unweighted, undirected graph containing no graph loops or multiple edges (Gibbons 1985, p. Romer developed a series of questions very similar to AP questions. Do you have PowerPoint slides to share? If so, share your PPT presentation slides online with PowerShow. Weighted graphs, are used to represent structures in which pairwise connections have some numerical values. Abstract: Graph coloring is one of the most important concepts in graph theory and it has huge number of applications in daily life. machine tool operation, dispatching etc) work on optimized parameters. Product Type: Book Edition: 3 First Published: 2021 Hardcover: 978-0-323-79692-7. In our problem, we drew graphs where the vertices represented people and the edges represented friendships. He wrote his first paper in graph theory [1] and thus became the father of graph theory. 2 Type of Available Information 117 8. The original data are plotted on the x axis of a graph, while the time-lagged data are plotted on the y axis, to allow quick comparison. CS6702 Graph Theory and Applications Part B 16 marks Questions with answers. Extremal Graph Theory. Other common approaches in addition to a subsumption ontology include frames, conceptual graphs, and logical assertions. Starting in the 17th century with notions of recursion, fractals have moved through increasingly rigorous mathematical treatment to the study of continuous but not differentiable functions in the 19th century by the seminal work of Bernard Bolzano, Bernhard Riemann, and Karl Weierstrass, and on to the coining of the word fractal in the 20th century with a subsequent burgeoning of interest in. The field of Graph Theory plays vital role in various fields. b)Skills Able to interpret and the present the results. Other applications include the outer sphere electron transfer frequently encountered in chemical and biological systems and modelling real estate prices. A, Final year, Dept of CSE, Anna University, Villupuram Email: [email protected] And although his work is extensive, Erikson’s stages of life theory is one of his most recognized models. These books provide many people a way to find meaning in a world that is moving faster and faster every day. This problem lead to the concept of Eulerian Graph. Graph theory is also used to study molecules in chemistry and physics. So any network related, routing, finding a relation, path etc related real-life applications use graphs. In this extended abstract, we give the definition of a group and 3 theorems in group theory. A survey of applications, 4. We talked about imagining actually walking on a graph. In less than a century, many scientists and entrepreneurs have seen the importance of graph theory in real-life applications. as well as brief explanation about the. Miller in 2017, less than 3 years ago. Publisher: O'Reilly Media. Facebook is an example of undirected graph. Examples of Graphs Dr. Product Type: Book Edition: 3 First Published: 2021 Hardcover: 978-0-323-79692-7. Cvetkovi¶c). It is known that graph theoretic models have extensive application\ud to real-life discrete optimization problems. Real-Life Applications of Straight-Line Graph. Cutting-down Method. Everyday low prices and free delivery on eligible orders. In this talk, we will discuss how the stocks can be related using a graph based approach. Few important real life applications of graph data structures are: Facebook: Each user is represented as a vertex and two people are friends when there is an edge between two vertices. As an efficient tool; graphs can represent, formulate, analyze and solve many of the real-life problems in our every-day life. Know the computational methods of graph theory. This is actually quite useful, because now the data can be represented by the simple equation of that line, rather than the hundreds of numbers you wrote down. Below is an interactive demonstration of the population growth of a species of rabbits whose population grows at 200% each year and demonstrates the power of exponential population growth. You need to store the friendship information on a social networking site. Graphs are one of the simplest mathematical structures. Symbolic Logic. An example of a real-life situation that can be modeled by a graph is the airport system. Manufacturing. Primer in Graph Theory vely new discipline Developed by Erdos and Remyi Applied to disciplines ranging from sociology to biology to computer science. Underpinned by a strongly-typed RAM store and a general computation engine, Graph Engine helps users build both real-time online query processing applications and high-throughput offline analytics systems with ease. See more ideas about graphing, theories, discrete mathematics. Graph theory was first introduced by Leonhard Euler in his solution to the Königsberg bridge problem in 1736. 2; West 2000, p. The paper equally gave some practical applications of Vertex coloring in real life situations such as scheduling, allocation of channels to television and radio stations, separation of chemicals and traffic light signals. Other applications include the outer sphere electron transfer frequently encountered in chemical and biological systems and modelling real estate prices. register allocation in compilers. You can find everything from closely reasoned apologetics for the major faiths, to New Age life guides in the same place. Edges are also called. For example, we will later see how graph coloring techniques can be applied to assigning frequencies to radio stations, scheduling club meetings, and coloring the. Rhyd Lewis (YouTube) Dijkstra's Algorithm for finding minimum weight (shortest path) in a graph YouTube. The usefulness of graphs lies in their ability to model many different situations. One of the future foreseen application fields of cellular networks is to provide efficient network connectivity to cyber physical systems for the required data transactions between. This concept is especially useful in various applications of bipartite graphs. Applications of Graph Theory If, instead, you are a travelling salesman, you wish to find the route that allows you to visit each town exactly once (and then return to the start). The study of asymptotic graph connectivity gave rise to random graph theory. Primer in Graph Theory vely new discipline Developed by Erdos and Remyi Applied to disciplines ranging from sociology to biology to computer science. Many problems of practical interest can be represented by graphs. Graph theory has provided very nice atmosphere for research of provable technique in discrete mathematics for researches. aimed at the reader with little basic knowledge of graph theory, and it introduces the reader to the concepts of interval graphs and other families of intersection graphs. Graph theory was applied to help identify the source of a dangerous pathogen and keep others safe. A graph isomorphic to its complement is called self-complementary. Author Gary Chartrand covers the important elementary topics of graph theory and its applications. students’ capacity for logical thinking. The graph obtained by deleting the vertices from S, denoted by G S, is the graph having as vertices those of V nS and as edges those of G that are not incident to. The choice made here is the opposite of that made in many biology texts, which attribute "high" osmotic pressure to the solution and zero osmotic pressure to pure water. Graph theory is heavily applied in theoretical chemistry and chemical physics (matter of fact, there are a number of books that specialize on the matter). A graph is a mathematical representation of a network and it describes the relationship between vertices and edges. Because the maximum number size for a graph of order five is ten. In particular, we discuss such of concepts the graph theory as oriented graphs and non-oriented graphs, Isomorphism of graphs, Eulerian and Hamiltonian graphs. graphs as a tool to model important real life networks such as social networks which are known to have very high clustering. In the Workshop by Dr. They reflect local and. It is anticipated that the work presented in this dissertation will encourage future research in application of graph theory and data mining to other Smart. Theory and Applications • Labeled graphs are becoming an increasingly useful family of Mathematical Models for a broad range of applications. Facebook's Graph API is perhaps the best example of application of graphs to real life problems. Special Worksheets and Keys from our. The study of graphs is known as Graph Theory. Graph theory serves as an exceptionally beneficial tool in solving combinatorial problems in various fields, such as geometry, algebra, number theory, topology, and social systems. While dealing with diversified concepts of applied mathematics, graphing is one of the powerful tools for representing and understanding objects and their relationships. Let's discuss what a matching of a graph is and. He used the graph below which shows the change in the number of non-farm jobs per month; in other words, the graph of a derivative of the number of people employed. Worse still, real-life social graphs are typically big, as remarked earlier. Free Book: Graph Algorithms: Practical Examples in Apache Spark and Neo4j By Mark Needham and Amy E. Graph theory as a method of improving chemistry and mathematics curricula. 025, as that section existed before amendment by House. On The Graph API, everything is a vertice or node. If you sell merchandise at a supermarket, or do carpentry work, you won't need such advanced mathematics. There is an edge from a page u to other page v if there is a link of page v on page u. In the transformational leadership, the leader focuses on enhancing the individual abilities of the group members. When you want to talk about the real-life applications of graphs, you just cannot resist talking about the Facebook’s Graph Search!. The decision about which side of the membrane to call "high" osmotic pressure is a troublesome one. The gray curve on the left side is the standard normal curve , which always has mean = 0 and standard deviation = 1. One of the future foreseen application fields of cellular networks is to provide efficient network connectivity to cyber physical systems for the required data transactions between. Domination in graph theory plays an important role in modeling and optimization of computer and telecommunication networks, transportation networks, ad hoc networks and schedu. In computer networks nodes are connected to each other with the help of links. We explaine. For example, the edge C-D in the above graph is a negative edge. In the Workshop by Dr. Undirected Graph. hypergraphs, perfect graphs. Understand new or di cult concepts, algorithms. Given two straight lines, the Pythagorean Theorem allows you to calculate the length of the diagonal connecting them. This paper gives an overview of applications of graph theory in heterogeneous fields but focuses on Computer Science applications that uses graph theoretical concepts. Murty, Graph Theory with Applications Applications of graph theory,, Preface and Introduction to Graph Theory1 1. Graphs in this context differ from the more familiar coordinate plots that portray mathematical relations and functions. His research interests include: combinatorial algorithms and optimization, graph theory, and the efficient solution of large-scale, real-life problem instances. function! function! function! u line graphs h v functions in alphabet function! i application of function in real life trivia what is a function? functions also allow us to visualize relationships in terms of graphs, which are much easier to read and interpret than list of. Graphical Models Applications in Real Life. Exposure to career paths and research areas in the sciences. is the relation given by the set of ordered pairs shown below a function so before we even attempt to do this problem right here let's just remind ourselves what a relation is and what type of relations can be functions so in a relation you have a set of numbers that you can kind of view as the input into the relation we call that the domain you could view them as the set of numbers over which. Other applications include the outer sphere electron transfer frequently encountered in chemical and biological systems and modelling real estate prices. A graph is k-regular if every vertex has degree k. Trigonometry comes from the Greek words ‘trigōnon’ which means ‘triangle’ and ‘metria’ which means ‘measure’. Dynamic Graphs: managing graph updates; graph stream analytics; analyzing evolution and detection of community structures in real-world evolving graphs; Mining and machine learning on heterogeneous networks -- knowledge graphs etc. The evaluation, on a set of real-life benchmarks, demonstrates that our approach can schedule the tasks in an application, modeled as a cyclic CSDF graph, with guaranteed throughput equal or comparable to the throughput obtained by existing scheduling approaches while providing hard real-time guarantees for every task in the application thereby. This simple structure can be used to represent many real-life applications such as a road network, communication network and a biological network. On The Graph API, everything is a vertice or node. Most commonly, it can take the form of IF-THEN rules[2] coupled with forward or backward chaining approaches. Graphs, degree of vertices, and Euler’s formula. The original data are plotted on the x axis of a graph, while the time-lagged data are plotted on the y axis, to allow quick comparison. Graph theory modelery, applications and algorithms by GEIR AGNARSSON RAYMOND GREENLAW. CS6702 Graph Theory and Applications Part A 2 marks with answers. In many applications of domination 86th issue of the Journal of Discrete mathematics (1990), number, bondage number, or domatic number, it becomes that the theory of domination is a very popular area for re- necessary to construct a graph with as few vertices and/or search activity in graph theory. Understand the application of various type of graphs in real life problem. If all components of a production system (i. Primer in Graph Theory vely new discipline Developed by Erdos and Remyi Applied to disciplines ranging from sociology to biology to computer science. The range of applications grows even further ranging from coding theory to X-ray Crystallography [8], from radar and astronomy [9] to circuit design and communication networks. Day-to-day real-life problems like guarding an art gallery, physical. D January 2010 FIGURE 1. Because the normal distribution approximates many natural phenomena so well, it has developed into a standard of reference for many probability problems. Graph theory also comes up a lot in Chemistry. It is known that graph theoretic models have extensive application\ud to real-life discrete optimization problems. If the triangle was a right triangle, it would be pretty easy to compute the area of the triangle by finding one-half the product of the base and the height. The concepts and methods of spectral geometry bring useful tools and crucial insights to the study of graph eigenvalues, which in turn lead to new directions and results in spectral geometry. The journal is open for submissions and celebrates its relaunch with Topical Collections on Optimization and Real World Applications and Contact Mechanics and Engineering Applications. Matching Theory. While dealing with diversified concepts of applied mathematics, graphing is one of the powerful tools for representing and understanding objects and their relationships. The concepts that he uncovered can be applied to many real life situaltions. Emphasizing their application to real-world systems, the term network is sometimes defined to mean a graph in which attributes (e. Krishna Murti. [5] Fold bifurcations and the cusp geometry are by far the most important practical consequences of catastrophe theory. A graph in this context is made up of vertices (also called nodes or points) which are connected by edges (also called links or lines). Here is the graph of the Parabola h = −5t 2 + 14t + 3. See full list on gatevidyalay. Application of Graph Theory in Operational Research Problems: Basic concepts, Formulation of the problems, Algorithms Paperback – May 5, 2012 by Anurag Sharma (Author) Nowadays, the powerful combinatorial methods found in graph theory can be used to prove significant and well-known results in a variety of areas in mathematics. Applications of Graphs in Real-Life Graphs are becoming increasingly significant as it is applied to other areas of mathematics, science and technology. A, Final year, Dept of CSE, Anna University, Villupuram Email: [email protected] One of the important areas in graph theory is Graph Labeling used in many applications like coding theory, x-ray crystallography, radar, astronomy, circuit design, communication network addressing, data base management. This text is intended for a one- or two-semester undergraduate course in abstract algebra. Calculus of weighted directed graphs can be used to model functional relations directly. Graph theory has provided very nice atmosphere for research of provable technique in discrete mathematics for researches. The actual meaning of the values will depend on the labels and units shown.