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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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.
Les mer
The Origin of Graph ColoringsIntroduction to GraphsTrees and ConnectivityEulerian and Hamiltonian GraphsMatchings and FactorizationGraph EmbeddingsIntroduction to Vertex ColoringsBounds for the Chromatic NumberColoring Graphs on SurfacesRestricted Vertex ColoringsEdge ColoringsRamsey TheoryMonochromatic Ramsey TheoryColor ConnectionDistance and ColoringsDomination and ColoringsInduced ColoringsThe Four Color Theorem Revisited
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Produktdetaljer

ISBN
9781138343863
Publisert
2019-11-26
Utgiver
Vendor
CRC Press
Vekt
898 gr
Høyde
234 mm
Bredde
156 mm
Aldersnivå
P, 06
Språk
Product language
Engelsk
Format
Product format
Innbundet
Antall sider
503

Om bidragsyterne

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.