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Chromatic Graph Theory

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Chromatic Graph Theory

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Author : Gary Chartrand
language : en
Publisher: CRC Press
Release Date : 2019-11-28

Chromatic Graph Theory written by Gary Chartrand and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-11-28 with Mathematics categories.

With Chromatic Graph Theory, Second Edition, the authors present various fundamentals of graph theory that lie outside of graph colorings, including basic terminology and results, trees and connectivity, Eulerian and Hamiltonian graphs, matchings and factorizations, and graph embeddings. Readers will see that the authors accomplished the primary goal of this textbook, which is to introduce graph theory with a coloring theme and to look at graph colorings in various ways. The textbook also covers vertex colorings and bounds for the chromatic number, vertex colorings of graphs embedded on surfaces, and a variety of restricted vertex colorings. The authors also describe edge colorings, monochromatic and rainbow edge colorings, complete vertex colorings, several distinguishing vertex and edge colorings. Features of the Second Edition: The book can be used for a first course in graph theory as well as a graduate course The primary topic in the book is graph coloring The book begins with an introduction to graph theory so assumes no previous course The authors are the most widely-published team on graph theory Many new examples and exercises enhance the new edition

Chromatic Graph Theory

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Author : Gary Chartrand
language : en
Publisher: CRC Press
Release Date : 2008-09-22

Beginning with the origin of the four color problem in 1852, the field of graph colorings has developed into one of the most popular areas of graph theory. Introducing graph theory with a coloring theme, Chromatic Graph Theory explores connections between major topics in graph theory and graph colorings as well as emerging topics. This self-contain

Topics In Chromatic Graph Theory

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Author : Lowell W. Beineke
language : en
Publisher: Cambridge University Press
Release Date : 2015-05-07

Topics In Chromatic Graph Theory written by Lowell W. Beineke 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 2015-05-07 with Mathematics categories.

Chromatic graph theory is a thriving area that uses various ideas of 'colouring' (of vertices, edges, and so on) to explore aspects of graph theory. It has links with other areas of mathematics, including topology, algebra and geometry, and is increasingly used in such areas as computer networks, where colouring algorithms form an important feature. While other books cover portions of the material, no other title has such a wide scope as this one, in which acknowledged international experts in the field provide a broad survey of the subject. All fifteen chapters have been carefully edited, with uniform notation and terminology applied throughout. Bjarne Toft (Odense, Denmark), widely recognized for his substantial contributions to the area, acted as academic consultant. The book serves as a valuable reference for researchers and graduate students in graph theory and combinatorics and as a useful introduction to the topic for mathematicians in related fields.

Chromatic Polynomials And Chromaticity Of Graphs

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Author : F. M. Dong
language : en
Publisher: World Scientific
Release Date : 2005

Chromatic Polynomials And Chromaticity Of Graphs written by F. M. Dong and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Mathematics categories.

This is the first book to comprehensively cover chromatic polynomialsof graphs. It includes most of the known results and unsolved problemsin the area of chromatic polynomials. Dividing the book into threemain parts, the authors take readers from the rudiments of chromaticpolynomials to more complex topics: the chromatic equivalence classesof graphs and the zeros and inequalities of chromatic polynomials.

Topics In Graph Theory

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Author : Sri. Somashekhar S. Maranoor
language : en
Publisher: Ashok Yakkaldevi
Release Date : 2022-06-22

Topics In Graph Theory written by Sri. Somashekhar S. Maranoor and has been published by Ashok Yakkaldevi this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-06-22 with Art categories.

1.1 INTRODUCTION Mathematics has existed for many centuries. In the ancient past, certain cultures developed their own Mathematics. In recent centuries, there has become only one International Mathematics. It has become more organized and has been divided into more clearly defined areas. Graph Theory is one of these mathematical areas. It is no coincidence that Graph Theory has been independently discovered many times, since it may quite properly be regarded as an area of Applied Mathematics. Graph Theory has come a long way since 1736 when Leonhard Euler (1707 – 1782) applied a graph theoretic argument to solve the Königsberg bridge problem. Graph Theory is an area in Discrete Mathematics, which studies configuration (called graphs) involving a set of vertices interconnected by edges. The reason for the growth of Graph Theory is that some of the problems in theoretical computer science that deal with complexity can be transformed into graph theoretical problem. The applicability of graphs and Graph Theory to a wide range of areas both within and outside Mathematics has given added stature to this youthful subject. Graph Theory is a very fascinating subject. One simple way of representing the structure of a system is a graph. A graph is a simple diagram consisting of vertices and edges.

Graphs Digraphs Fourth Edition

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Author : Gary Chartrand
language : en
Publisher: CRC Press
Release Date : 2004-10-28

Graphs Digraphs Fourth Edition written by Gary Chartrand and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-10-28 with Mathematics categories.

With a growing range of applications in fields from computer science to chemistry and communications networks, graph theory has enjoyed a rapid increase of interest and widespread recognition as an important area of mathematics. Through more than 20 years of publication, Graphs & Digraphs has remained a popular point of entry to the field, and through its various editions, has evolved with the field from a purely mathematical treatment to one that also addresses the mathematical needs of computer scientists. Carefully updated, streamlined, and enhanced with new features, Graphs & Digraphs, Fourth Edition reflects many of the developments in graph theory that have emerged in recent years. The authors have added discussions on topics of increasing interest, deleted outdated material, and judiciously augmented the Exercises sections to cover a range of problems that reach beyond the construction of proofs. New in the Fourth Edition: Expanded treatment of Ramsey theory Major revisions to the material on domination and distance New material on list colorings that includes interesting recent results A solutions manual covering many of the exercises available to instructors with qualifying course adoptions A comprehensive bibliography including an updated list of graph theory books Every edition of Graphs & Digraphs has been unique in its reflection the subject as one that is important, intriguing, and most of all beautiful. The fourth edition continues that tradition, offering a comprehensive, tightly integrated, and up-to-date introduction that imparts an appreciation as well as a solid understanding of the material.

Problems And Results In Chromatic Graph Theory

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Author : Barbara R. Carpenter
language : en
Publisher:
Release Date : 1976

Problems And Results In Chromatic Graph Theory written by Barbara R. Carpenter and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1976 with categories.

A Kaleidoscopic View Of Graph Colorings

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Author : Ping Zhang
language : en
Publisher: Springer
Release Date : 2016-03-30

A Kaleidoscopic View Of Graph Colorings written by Ping Zhang and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-03-30 with Mathematics categories.

This book describes kaleidoscopic topics that have developed in the area of graph colorings. Unifying current material on graph coloring, this book describes current information on vertex and edge colorings in graph theory, including harmonious colorings, majestic colorings, kaleidoscopic colorings and binomial colorings. Recently there have been a number of breakthroughs in vertex colorings that give rise to other colorings in a graph, such as graceful labelings of graphs that have been reconsidered under the language of colorings. The topics presented in this book include sample detailed proofs and illustrations, which depicts elements that are often overlooked. This book is ideal for graduate students and researchers in graph theory, as it covers a broad range of topics and makes connections between recent developments and well-known areas in graph theory.

Graph Colouring And Applications

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Author : Pierre Hansen
language : en
Publisher: American Mathematical Soc.
Release Date : 1999

Graph Colouring And Applications written by Pierre Hansen 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 1999 with Mathematics categories.

CRM stands for the Centre de Recherches Mathematiques (Universite de Montreal), created in 1968 to promote research in pure and applied math and related disciplines. Ten papers from a May 1997 workshop address aspects of graph coloring having applications in mathematical models of the sciences including: enumeration of colorings, chromatic polynomials, and graph coloring problems related to frequency assignment. Six open problems suggested by the participants conclude the proceedings. Lacks an index. Annotation copyrighted by Book News, Inc., Portland, OR

Graphs Digraphs

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Author : Gary Chartrand
language : en
Publisher: CRC Press
Release Date : 2024-01-23

Graphs Digraphs written by Gary Chartrand and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-01-23 with Mathematics categories.

Graphs & Digraphs, Seventh Edition masterfully employs student-friendly exposition, clear proofs, abundant examples, and numerous exercises to provide an essential understanding of the concepts, theorems, history, and applications of graph theory. This classic text, widely popular among students and instructors alike for decades, is thoroughly streamlined in this new, seventh edition, to present a text consistent with contemporary expectations. Changes and updates to this edition include: A rewrite of four chapters from the ground up Streamlining by over a third for efficient, comprehensive coverage of graph theory Flexible structure with foundational Chapters 1–6 and customizable topics in Chapters 7–11 Incorporation of the latest developments in fundamental graph theory Statements of recent groundbreaking discoveries, even if proofs are beyond scope Completely reorganized chapters on traversability, connectivity, coloring, and extremal graph theory to reflect recent developments The text remains the consummate choice for an advanced undergraduate level or introductory graduate-level course exploring the subject’s fascinating history, while covering a host of interesting problems and diverse applications. Our major objective is to introduce and treat graph theory as the beautiful area of mathematics we have always found it to be. We have striven to produce a reader-friendly, carefully written book that emphasizes the mathematical theory of graphs, in all their forms. While a certain amount of mathematical maturity, including a solid understanding of proof, is required to appreciate the material, with a small number of exceptions this is the only pre-requisite. In addition, owing to the exhilarating pace of progress in the field, there have been countless developments in fundamental graph theory ever since the previous edition, and many of these discoveries have been incorporated into the book. Of course, some of the proofs of these results are beyond the scope of the book, in which cases we have only included their statements. In other cases, however, these new results have led us to completely reorganize our presentation. Two examples are the chapters on coloring and extremal graph theory.

Chromatic Graph Theory

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