Topics In Chromatic Graph Theory

Author : Lowell W. Beineke,Robin J. Wilson
Publisher : Cambridge University Press
Page : 584 pages
File Size : 51,7 Mb
Release : 2015-05-07
Category : Mathematics
ISBN : 9781316239858

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Topics in Chromatic Graph Theory by Lowell W. Beineke,Robin J. Wilson Pdf

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.

Author : Gary Chartrand,Ping Zhang
Publisher : CRC Press
Page : 503 pages
File Size : 40,8 Mb
Release : 2019-11-28
Category : Mathematics
ISBN : 9780429798283

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Chromatic Graph Theory by Gary Chartrand,Ping Zhang Pdf

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

Author : Fengming Dong,Khee-meng Koh,Kee L Teo
Publisher : World Scientific
Page : 386 pages
File Size : 42,5 Mb
Release : 2005-06-23
Category : Mathematics
ISBN : 9789814480468

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Chromatic Polynomials And Chromaticity Of Graphs by Fengming Dong,Khee-meng Koh,Kee L Teo Pdf

This is the first book to comprehensively cover chromatic polynomials of graphs. It includes most of the known results and unsolved problems in the area of chromatic polynomials. Dividing the book into three main parts, the authors take readers from the rudiments of chromatic polynomials to more complex topics: the chromatic equivalence classes of graphs and the zeros and inequalities of chromatic polynomials. The early material is well suited to a graduate level course while the latter parts will be an invaluable resource for postgraduate students and researchers in combinatorics and graph theory.

Author : Elad Horev
Publisher : Unknown
Page : 90 pages
File Size : 46,6 Mb
Release : 2010
Category : Electronic
ISBN : OCLC:744558389

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Topics in Structural, Extremal, and Chromatic Graph Theory by Elad Horev Pdf

Author : Ping Zhang
Publisher : Springer
Page : 157 pages
File Size : 54,8 Mb
Release : 2016-03-30
Category : Mathematics
ISBN : 9783319305189

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A Kaleidoscopic View of Graph Colorings by Ping Zhang Pdf

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.

Author : Pierre Hansen,Odile Marcotte
Publisher : American Mathematical Soc.
Page : 168 pages
File Size : 48,9 Mb
Release : 1999
Category : Mathematics
ISBN : 0821819550

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Graph Colouring and Applications by Pierre Hansen,Odile Marcotte Pdf

This volume presents the proceedings of the CRM workshop on graph coloring and applications. The articles span a wide spectrum of topics related to graph coloring, including: list-colorings, total colorings, colorings and embeddings of graphs, chromatic polynomials, characteristic polynomials, chromatic scheduling, and graph coloring problems related to frequency assignment. Outstanding researchers in combinatorial optimization and graph theory contributed their work. A list of open problems is included.

Author : Hian Poh Yap
Publisher : Cambridge University Press
Page : 241 pages
File Size : 44,6 Mb
Release : 1986-07-17
Category : Mathematics
ISBN : 9780521339445

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Some Topics in Graph Theory by Hian Poh Yap Pdf

This book provides a rapid introduction to topics in graph theory typically covered in a graduate course. The author sets out the main recent results in several areas of current research in graph theory. Topics covered include edge-colourings, symmetries of graphs, packing of graphs, and computational complexity. Professor Yap is able to lead the reader to the forefront of research and to describe some of the open problems in the field. The choice of material presented has arisen from courses given at the National University of Singapore and each chapter contains numerous examples and exercises for the reader.

Author : Edward R. Scheinerman,Daniel H. Ullman
Publisher : Courier Corporation
Page : 240 pages
File Size : 46,8 Mb
Release : 2013-04-29
Category : Mathematics
ISBN : 9780486292137

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Fractional Graph Theory by Edward R. Scheinerman,Daniel H. Ullman Pdf

This volume explains the general theory of hypergraphs and presents in-depth coverage of fundamental and advanced topics: fractional matching, fractional coloring, fractional edge coloring, fractional arboricity via matroid methods, fractional isomorphism, and more. 1997 edition.

Author : Koh Khee Meng,Dong Fengming,Tay Eng Guan
Publisher : World Scientific Publishing Company
Page : 244 pages
File Size : 52,9 Mb
Release : 2007-03-15
Category : Mathematics
ISBN : 9789813101630

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Introduction to Graph Theory by Koh Khee Meng,Dong Fengming,Tay Eng Guan Pdf

Graph theory is an area in discrete mathematics which studies configurations (called graphs) involving a set of vertices interconnected by edges. This book is intended as a general introduction to graph theory and, in particular, as a resource book for junior college students and teachers reading and teaching the subject at H3 Level in the new Singapore mathematics curriculum for junior college. The book builds on the verity that graph theory at this level is a subject that lends itself well to the development of mathematical reasoning and proof.

Author : Hian Poh Yap
Publisher : Springer
Page : 140 pages
File Size : 45,8 Mb
Release : 2006-11-13
Category : Mathematics
ISBN : 9783540493013

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Total Colourings of Graphs by Hian Poh Yap Pdf

This book provides an up-to-date and rapid introduction to an important and currently active topic in graph theory. The author leads the reader to the forefront of research in this area. Complete and easily readable proofs of all the main theorems, together with numerous examples, exercises and open problems are given. The book is suitable for use as a textbook or as seminar material for advanced undergraduate and graduate students. The references are comprehensive and so it will also be useful for researchers as a handbook.

Author : John Harris,Jeffry L. Hirst,Michael Mossinghoff
Publisher : Springer Science & Business Media
Page : 392 pages
File Size : 50,8 Mb
Release : 2009-04-03
Category : Mathematics
ISBN : 9780387797113

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Combinatorics and Graph Theory by John Harris,Jeffry L. Hirst,Michael Mossinghoff Pdf

These notes were first used in an introductory course team taught by the authors at Appalachian State University to advanced undergraduates and beginning graduates. The text was written with four pedagogical goals in mind: offer a variety of topics in one course, get to the main themes and tools as efficiently as possible, show the relationships between the different topics, and include recent results to convince students that mathematics is a living discipline.

Author : Tommy R. Jensen,Bjarne Toft
Publisher : John Wiley & Sons
Page : 320 pages
File Size : 48,5 Mb
Release : 2011-10-24
Category : Mathematics
ISBN : 9781118030745

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Graph Coloring Problems by Tommy R. Jensen,Bjarne Toft Pdf

Contains a wealth of information previously scattered in research journals, conference proceedings and technical reports. Identifies more than 200 unsolved problems. Every problem is stated in a self-contained, extremely accessible format, followed by comments on its history, related results and literature. The book will stimulate research and help avoid efforts on solving already settled problems. Each chapter concludes with a comprehensive list of references which will lead readers to original sources, important contributions and other surveys.

Author : Lowell W. Beineke,Robin J. Wilson
Publisher : Unknown
Page : 234 pages
File Size : 46,8 Mb
Release : 1978
Category : Graph theory
ISBN : UOM:39015019605313

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Selected Topics in Graph Theory by Lowell W. Beineke,Robin J. Wilson Pdf

Author : Gary Chartrand,Ping Zhang
Publisher : Courier Corporation
Page : 464 pages
File Size : 52,6 Mb
Release : 2013-05-20
Category : Mathematics
ISBN : 9780486297309

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A First Course in Graph Theory by Gary Chartrand,Ping Zhang Pdf

Written by two prominent figures in the field, this comprehensive text provides a remarkably student-friendly approach. Its sound yet accessible treatment emphasizes the history of graph theory and offers unique examples and lucid proofs. 2004 edition.

Author : Gary Chartrand,Ping Zhang
Publisher : CRC Press
Page : 450 pages
File Size : 55,7 Mb
Release : 2019-11-28
Category : Mathematics
ISBN : 9780429798276

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Chromatic Graph Theory by Gary Chartrand,Ping Zhang Pdf

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