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Modern Applications Of Graph Theory


Modern Applications Of Graph Theory
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Modern Applications Of Graph Theory


Modern Applications Of Graph Theory
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Author : Vadim Zverovich
language : en
Publisher: Oxford University Press
Release Date : 2021-04-01

Modern Applications Of Graph Theory written by Vadim Zverovich and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-04-01 with Science categories.


Modern Applications of Graph Theory discusses many cutting-edge applications of graph theory, such as traffic networks, navigable networks and optimal routing for emergency response, placement of electric vehicle charging stations, and graph-theoretic methods in molecular epidemiology. Due to the rapid growth of research in this field, the focus of the book is on the up-to-date development of these applications and the mathematical methods used to tackle them. Ideal for researchers, engineers, transport planners and emergency response specialists who are interested in graph theory applications, Modern Applications of Graph Theory can also be used as teaching material. In addition to up-to-date descriptions of the applications, it includes extensive exercises and their solutions, mimicking practical, real-life situations. Furthermore, there is an introductory chapter, which provides an overview of basic applications and algorithms of graph theory. The book includes over 120 illustrations and tables.



Handbook Of Research On Advanced Applications Of Graph Theory In Modern Society


Handbook Of Research On Advanced Applications Of Graph Theory In Modern Society
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Author : Pal, Madhumangal
language : en
Publisher: IGI Global
Release Date : 2019-08-30

Handbook Of Research On Advanced Applications Of Graph Theory In Modern Society written by Pal, Madhumangal and has been published by IGI Global this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-08-30 with Computers categories.


In the world of mathematics and computer science, technological advancements are constantly being researched and applied to ongoing issues. Setbacks in social networking, engineering, and automation are themes that affect everyday life, and researchers have been looking for new techniques in which to solve these challenges. Graph theory is a widely studied topic that is now being applied to real-life problems. The Handbook of Research on Advanced Applications of Graph Theory in Modern Society is an essential reference source that discusses recent developments on graph theory, as well as its representation in social networks, artificial neural networks, and many complex networks. The book aims to study results that are useful in the fields of robotics and machine learning and will examine different engineering issues that are closely related to fuzzy graph theory. Featuring research on topics such as artificial neural systems and robotics, this book is ideally designed for mathematicians, research scholars, practitioners, professionals, engineers, and students seeking an innovative overview of graphic theory.



Modern Applications Of Graph Theory


Modern Applications Of Graph Theory
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Author : Vadim Zverovich
language : en
Publisher: Oxford University Press
Release Date : 2021

Modern Applications Of Graph Theory written by Vadim Zverovich and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021 with Mathematics categories.


Modern Applications of Graph Theory discusses many cutting-edge applications of graph theory, such as traffic networks, navigable networks and optimal routing for emergency response, placement of electric vehicle charging stations, and graph-theoretic methods in molecular epidemiology. Due to the rapid growth of research in this field, the focus of the book is on the up-to-date development of these applications and the mathematical methods used to tackle them. Ideal for researchers, engineers, transport planners and emergency response specialists who are interested in graph theory applications, Modern Applications of Graph Theory can also be used as teaching material. In addition to up-to-date descriptions of the applications, it includes extensive exercises and their solutions, mimicking practical, real-life situations. Furthermore, there is an introductory chapter, which provides an overview of basic applications and algorithms of graph theory. The book includes over 120 illustrations and tables.



Modern Graph Theory


Modern Graph Theory
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Author : Béla Bollobás
language : en
Publisher: Springer Science & Business Media
Release Date : 1998-07

Modern Graph Theory written by Béla Bollobás and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-07 with Computers categories.


An in-depth account of graph theory, written for serious students of mathematics and computer science. It reflects the current state of the subject and emphasises connections with other branches of pure mathematics. Recognising that graph theory is one of several courses competing for the attention of a student, the book contains extensive descriptive passages designed to convey the flavour of the subject and to arouse interest. In addition to a modern treatment of the classical areas of graph theory, the book presents a detailed account of newer topics, including Szemerédis Regularity Lemma and its use, Shelahs extension of the Hales-Jewett Theorem, the precise nature of the phase transition in a random graph process, the connection between electrical networks and random walks on graphs, and the Tutte polynomial and its cousins in knot theory. Moreover, the book contains over 600 well thought-out exercises: although some are straightforward, most are substantial, and some will stretch even the most able reader.



A Guide To Graph Colouring


A Guide To Graph Colouring
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Author : R.M.R. Lewis
language : en
Publisher: Springer
Release Date : 2015-10-26

A Guide To Graph Colouring written by R.M.R. Lewis and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-10-26 with Computers categories.


This book treats graph colouring as an algorithmic problem, with a strong emphasis on practical applications. The author describes and analyses some of the best-known algorithms for colouring arbitrary graphs, focusing on whether these heuristics can provide optimal solutions in some cases; how they perform on graphs where the chromatic number is unknown; and whether they can produce better solutions than other algorithms for certain types of graphs, and why. The introductory chapters explain graph colouring, and bounds and constructive algorithms. The author then shows how advanced, modern techniques can be applied to classic real-world operational research problems such as seating plans, sports scheduling, and university timetabling. He includes many examples, suggestions for further reading, and historical notes, and the book is supplemented by a website with an online suite of downloadable code. The book will be of value to researchers, graduate students, and practitioners in the areas of operations research, theoretical computer science, optimization, and computational intelligence. The reader should have elementary knowledge of sets, matrices, and enumerative combinatorics.



Graph Theory And Its Applications To Problems Of Society


Graph Theory And Its Applications To Problems Of Society
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Author : Fred S. Roberts
language : en
Publisher: SIAM
Release Date : 1978-01-01

Graph Theory And Its Applications To Problems Of Society written by Fred S. Roberts and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1978-01-01 with Mathematics categories.


Explores modern topics in graph theory and its applications to problems in transportation, genetics, pollution, perturbed ecosystems, urban services, and social inequalities. The author presents both traditional and relatively atypical graph-theoretical topics to best illustrate applications.



A Course On The Web Graph


A Course On The Web Graph
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Author : Anthony Bonato
language : en
Publisher: American Mathematical Soc.
Release Date :

A Course On The Web Graph written by Anthony Bonato and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.


"A Course on the Web Graph provides a comprehensive introduction to state-of-the-art research on the applications of graph theory to real-world networks such as the web graph. It is the first mathematically rigorous textbook discussing both models of the web graph and algorithms for searching the web. After introducing key tools required for the study of web graph mathematics, an overview is given of the most widely studied models for the web graph. A discussion of popular web search algorithms, e.g. PageRank, is followed by additional topics, such as applications of infinite graph theory to the web graph, spectral properties of power law graphs, domination in the web graph, and the spread of viruses in networks. The book is based on a graduate course taught at the AARMS 2006 Summer School at Dalhousie University. As such it is self-contained and includes over 100 exercises. The reader of the book will gain a working knowledge of current research in graph theory and its modern applications. In addition, the reader will learn first-hand about models of the web, and the mathematics underlying modern search engines."--Publisher's description.



Graph Theory With Applications


Graph Theory With Applications
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Author : John Adrian Bondy
language : en
Publisher: London : Macmillan Press
Release Date : 1976

Graph Theory With Applications written by John Adrian Bondy and has been published by London : Macmillan Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1976 with Mathematics categories.




Graph Theory


Graph Theory
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Author : Karin R. Saoub
language : en
Publisher: CRC Press
Release Date : 2021

Graph Theory written by Karin R. Saoub and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021 with Mathematics categories.


Graph Theory: An Introduction to Proofs, Algorithms, and Applications Graph theory is the study of interactions, conflicts, and connections. The relationship between collections of discrete objects can inform us about the overall network in which they reside, and graph theory can provide an avenue for analysis. This text, for the first undergraduate course, will explore major topics in graph theory from both a theoretical and applied viewpoint. Topics will progress from understanding basic terminology, to addressing computational questions, and finally ending with broad theoretical results. Examples and exercises will guide the reader through this progression, with particular care in strengthening proof techniques and written mathematical explanations. Current applications and exploratory exercises are provided to further the reader's mathematical reasoning and understanding of the relevance of graph theory to the modern world. Features The first chapter introduces graph terminology, mathematical modeling using graphs, and a review of proof techniques featured throughout the book The second chapter investigates three major route problems: eulerian circuits, hamiltonian cycles, and shortest paths. The third chapter focuses entirely on trees - terminology, applications, and theory. Four additional chapters focus around a major graph concept: connectivity, matching, coloring, and planarity. Each chapter brings in a modern application or approach. Hints and Solutions to selected exercises provided at the back of the book. Author Karin R. Saoub is an Associate Professor of Mathematics at Roanoke College in Salem, Virginia. She earned her PhD in mathematics from Arizona State University and BA from Wellesley College. Her research focuses on graph coloring and on-line algorithms applied to tolerance graphs. She is also the author of A Tour Through Graph Theory, published by CRC Press.



Graph Theory For Programmers


Graph Theory For Programmers
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Author : Victor N. Kasyanov
language : en
Publisher: Springer Science & Business Media
Release Date : 2000-08-31

Graph Theory For Programmers written by Victor N. Kasyanov and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-08-31 with Business & Economics categories.


This introductory book treats algorithmic graph theory specifically for programmers. It explores some key ideas and basic algorithms in this large and rapidly growing field, and contains high-level and language-independent descriptions of methods and algorithms on trees, the most important type of graphs in programming and informatics. Readers are assumed to be familiar with the basics of graph theory, and programming. Audience: This volume will be of interest to researchers and specialists in programming, software engineering, data structure and information retrieval, and to mathematicians whose work involves algorithms, combinatorics, graph theory, operations research, and discrete optimization. The book can also be recommended as a text for graduate courses in computer science, electronics, telecommunications, and control engineering.