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Chromatic Graph Theory: Textbooks in Mathematics

Autor Gary Chartrand, Ping Zhang
en Limba Engleză Hardback – 26 noi 2019
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
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Specificații

ISBN-13: 9781138343863
ISBN-10: 1138343862
Pagini: 525
Ilustrații: 295 Illustrations, black and white
Dimensiuni: 156 x 234 x 29 mm
Greutate: 0.9 kg
Ediția:1
Editura: CRC Press
Colecția CRC Press
Seria Textbooks in Mathematics


Cuprins

The Origin of Graph Colorings
Introduction to Graphs
Trees and Connectivity
Eulerian and Hamiltonian Graphs
Matchings and Factorization
Graph Embeddings
Introduction to Vertex Colorings
Bounds for the Chromatic Number
Coloring Graphs on Surfaces
Restricted Vertex Colorings
Edge Colorings
Ramsey Theory
Monochromatic Ramsey Theory
Color Connection
Distance and Colorings
Domination and Colorings
Induced Colorings
The Four Color Theorem Revisited

Notă biografică

Gary Chartrand is a professor emeritus of mathematics at Western Michigan University.
Ping Zhang is a professor of mathematics at Western Michigan University.
The two have authored or co-authored many textbooks in mathematics and numerous research articles in graph theory. The authors publish several books on graph theory, including the best-selling Graphs and Diagraphs, Sixth Edition, CRC Press, the most widely-used introductory text for course in graph theory.

Descriere

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.

Recenzii

… The book is written in a student-friendly style with carefully explained proofs and examples and contains many exercises of varying difficulty. … The book is intended for standard courses in graph theory, reading courses and seminars on graph colourings, and as a reference book for individuals interested in graphs colourings.
Zentralblatt MATH 1169
… well-conceived and well-written book … written in a reader-friendly style, and there is a sufficient number of exercises at the end of each chapter.
—Miklós Bóna, University of Florida, MAA Online, January 2009