A Textbook of Graph Theory

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ISBN: 9781461445289
Author/Editor: R Balakrishnan

Publisher: Springer

Year: 2012

3 in stock (can be backordered)

SKU: ABD-SPR-4683 Category:

Description

This second edition includes two new chapters: one on domination in graphs and the other on the spectral properties of graphs, the latter including a discussion on graph energy. The chapter on graph colorings has been enlarged, covering additional topics such as homomorphisms and colorings and the uniqueness of the Mycielskian up to isomorphism.

This book also introduces several interesting topics such as Dirac’s theorem on k-connected graphs, Harary-Nashwilliam’s theorem on the hamiltonicity of line graphs, Toida-McKee’s characterization of Eulerian graphs, the Tutte matrix of a graph, Fournier’s proof of Kuratowski’s theorem on planar graphs, the proof of the nonhamiltonicity of the Tutte graph on 46 vertices, and a concrete application of triangulated graphs.

Additional information

Weight 0.469 kg

Product Properties

Year of Publication

2012

Table of Contents

Preface to the Second Edition.- Preface to the First Edition.- 1 Basic Results.- 2 Directed Graphs.- 3 Connectivity.- 4 Trees.- 5 Independent Sets and Matchings.- 6 Eulerian and Hamiltonian Graphs.- 7 Graph Colorings.- 8 Planarity.- 9 Triangulated Graphs.- 10 Domination in Graphs.- 11 Spectral Properties of Graphs.- Bibliography.- Index.

Author

R Balakrishnan

ISBN/ISSN

9781461445289

Binding

Paperback

Edition

2

Publisher

Springer

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