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
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.
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 Coloring Problems
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Author : Tommy R. Jensen
language : en
Publisher: John Wiley & Sons
Release Date : 2011-10-24
Graph Coloring Problems written by Tommy R. Jensen and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-10-24 with Mathematics categories.
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.
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.
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.
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 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."--BOOK JACKET.
Color Induced Graph Colorings
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Author : Ping Zhang
language : en
Publisher: Springer
Release Date : 2015-08-10
Color Induced 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 2015-08-10 with Mathematics categories.
A comprehensive treatment of color-induced graph colorings is presented in this book, emphasizing vertex colorings induced by edge colorings. The coloring concepts described in this book depend not only on the property required of the initial edge coloring and the kind of objects serving as colors, but also on the property demanded of the vertex coloring produced. For each edge coloring introduced, background for the concept is provided, followed by a presentation of results and open questions dealing with this topic. While the edge colorings discussed can be either proper or unrestricted, the resulting vertex colorings are either proper colorings or rainbow colorings. This gives rise to a discussion of irregular colorings, strong colorings, modular colorings, edge-graceful colorings, twin edge colorings and binomial colorings. Since many of the concepts described in this book are relatively recent, the audience for this book is primarily mathematicians interested in learning some new areas of graph colorings as well as researchers and graduate students in the mathematics community, especially the graph theory community.
Chromatic Graph Theory Solutions Manual
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Author : Taylor & Francis Group
language : en
Publisher: Chapman & Hall
Release Date : 2008-10-02
Chromatic Graph Theory Solutions Manual written by Taylor & Francis Group and has been published by Chapman & Hall this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-10-02 with categories.
Total Colourings Of Graphs
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Author : Hian Poh Yap
language : en
Publisher: Springer
Release Date : 2006-11-13
Total Colourings Of Graphs written by Hian Poh Yap and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-13 with Mathematics categories.
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.
Graph Colourings
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Author : Roy Nelson
language : en
Publisher: Longman Publishing Group
Release Date : 1990
Graph Colourings written by Roy Nelson and has been published by Longman Publishing Group this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Mathematics categories.
Nine papers on graph colourings, presented by speakers at a one-day meeting at the Open University in December 1988. The topics presented have been chosen to cover as wide a field as possible within the area of graph colourings. Each paper contains a cetain amount of survey material to put the results of the paper into perspective, as well as a discussion of new results. It is not the aim of this book to present a succession of highly technical research papers which would be better in a specialized journal.