Graphs
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Spectral Generalizations Of Line Graphs
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Author : Dragoš Cvetkovic
language : en
Publisher: Cambridge University Press
Release Date : 2004-07-22
Spectral Generalizations Of Line Graphs written by Dragoš Cvetkovic and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-07-22 with Mathematics categories.
Introduction -- Forbidden subgraphs -- Root systems -- Regular graphs -- Star complements -- The Maximal exceptional graphs -- Miscellaneous results.
Strongly Regular Graphs
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Author : Andries E. Brouwer
language : en
Publisher:
Release Date : 2022-01-13
Strongly Regular Graphs written by Andries E. Brouwer and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-01-13 with Language Arts & Disciplines categories.
This monograph on strongly regular graphs is an invaluable reference for anybody working in algebraic combinatorics.
An Atlas Of Graphs
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Author : Ronald C. Read
language : en
Publisher: Oxford : Clarendon Press
Release Date : 1998
An Atlas Of Graphs written by Ronald C. Read and has been published by Oxford : Clarendon Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Mathematics categories.
Graph theory is a fast-developing discipline and has, over the past few decades, been seen to have important applications, particularly in operations research and in computer science. For this reason there is a need for a reference in the area, comprehensively cataloguing the properties of graphs and accessible to both graph theorists and other researchers. This book contains a wealth of information, including over 10000 diagrams and extensive tables of associated properties. It is the first book to present this information on such a scale, and as such will be an invaluable resource.
Line Graphs And Line Digraphs
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Author : Lowell W. Beineke
language : en
Publisher: Springer Nature
Release Date : 2021-10-29
Line Graphs And Line Digraphs written by Lowell W. Beineke and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-10-29 with Mathematics categories.
In the present era dominated by computers, graph theory has come into its own as an area of mathematics, prominent for both its theory and its applications. One of the richest and most studied types of graph structures is that of the line graph, where the focus is more on the edges of a graph than on the vertices. A subject worthy of exploration in itself, line graphs are closely connected to other areas of mathematics and computer science. This book is unique in its extensive coverage of many areas of graph theory applicable to line graphs. The book has three parts. Part I covers line graphs and their properties, while Part II looks at features that apply specifically to directed graphs, and Part III presents generalizations and variations of both line graphs and line digraphs. Line Graphs and Line Digraphs is the first comprehensive monograph on the topic. With minimal prerequisites, the book is accessible to most mathematicians and computer scientists who have had an introduction graph theory, and will be a valuable reference for researchers working in graph theory and related fields.
Handbook Of Graph Theory
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Author : Jonathan L. Gross
language : en
Publisher: CRC Press
Release Date : 2003-12-29
Handbook Of Graph Theory written by Jonathan L. Gross and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-12-29 with Computers categories.
The Handbook of Graph Theory is the most comprehensive single-source guide to graph theory ever published. Best-selling authors Jonathan Gross and Jay Yellen assembled an outstanding team of experts to contribute overviews of more than 50 of the most significant topics in graph theory-including those related to algorithmic and optimization approach
Tolerance Graphs
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Author : Martin Charles Golumbic
language : en
Publisher: Cambridge University Press
Release Date : 2004-02-12
Tolerance Graphs written by Martin Charles Golumbic and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-02-12 with Mathematics categories.
A rigorous treatment of tolerance graphs for researchers and graduate students which collects important results and discusses applications.
Graphs And Charts Activity Book
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Author : Darran Stobbart
language : en
Publisher: Maths Activity Books
Release Date : 2020-03-03
Graphs And Charts Activity Book written by Darran Stobbart and has been published by Maths Activity Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-03-03 with categories.
Discover all kinds of graphs and charts and how to use them in this entertaining activity book. The activities encourage children to collect and analyse data, from tallying the number of animals spotted on safari, to displaying types of weather on a bar chart and sorting animals into a Venn diagram. Quizzes after each section let children test what they've learned.
Magic Graphs
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Author : W. D. Wallis
language : en
Publisher: Springer
Release Date : 2001
Magic Graphs written by W. D. Wallis and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Combinatorics categories.
Magic squares, their origins lost in antiquity, are among the more popular mathematical recreations. Over the years a number of generalizations have been proposed, going back in the last century to Sedl cek (early 1960s) who asked whether "magic" ideas could be applied to graphs. Around the same time Kotzig and Rosa formulated the study of graph labelings, or valuations as they were first called. In the last decade, there has been a resurgence of interest in "magic labelings" and other graph valuations, e.g., graceful labelings, due to a number of interesting results that have applications and are related to the problems of decomposing graphs into trees. Trees remain an elusive subject. From the pure mathematics viewpoint, no progress has been made in answering the question: Does every tree have an edge-magic total labeling? However, the corresponding problem for vertex-magic total labelings has been solved, and the details are examined in this volume. The book also contains a number of recent constructions of magic graphs and verifications that families of graphs are magic. Key features: * short historical account of the subject * concise, self-contained text, systematic exposition from basic topics in graph theory to current research * applications of theorems from graph theory and interesting counting arguments * exercises, research problems covering a range of difficulties, extensive bibliography, index * solutions to many exercises This concise, self-contained exposition is unique in its focus on the theory of magic graphs/labeling and its applications to a number of new areas. It may serve as a graduate text for a special topics seminar in mathematics or computer science, or as a professional text for the researcher.
Graph Theory
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Author : Karin R Saoub
language : en
Publisher: CRC Press
Release Date : 2021-03-17
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 2021-03-17 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.
Graphs And Geometry
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Author : László Lovász
language : en
Publisher: American Mathematical Soc.
Release Date : 2019-08-28
Graphs And Geometry written by László Lovász 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 2019-08-28 with Geometry categories.
Graphs are usually represented as geometric objects drawn in the plane, consisting of nodes and curves connecting them. The main message of this book is that such a representation is not merely a way to visualize the graph, but an important mathematical tool. It is obvious that this geometry is crucial in engineering, for example, if you want to understand rigidity of frameworks and mobility of mechanisms. But even if there is no geometry directly connected to the graph-theoretic problem, a well-chosen geometric embedding has mathematical meaning and applications in proofs and algorithms. This book surveys a number of such connections between graph theory and geometry: among others, rubber band representations, coin representations, orthogonal representations, and discrete analytic functions. Applications are given in information theory, statistical physics, graph algorithms and quantum physics. The book is based on courses and lectures that the author has given over the last few decades and offers readers with some knowledge of graph theory, linear algebra, and probability a thorough introduction to this exciting new area with a large collection of illuminating examples and exercises.