Graphs, groups, and surfaces

The field of topological graph theory has expanded greatly in the ten years since the first edition of this book appeared. The original nine chapters of this classic work have therefore been revised and updated. Six new chapters have been added, dealing with: voltage graphs, non-orientable imbedding...

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Bibliographic Details
Main Author: White, Arthur T.
Format: eBook
Language:English
Published: Amsterdam North-Holland 1984, 1984
Edition:Completely rev. and enl. ed
Series:North-Holland mathematics studies
Subjects:
Online Access:
Collection: Elsevier eBook collection Mathematics - Collection details see MPG.ReNa
Table of Contents:
  • Historical setting
  • A brief introduction to graph theory
  • The automorphism group of a graph
  • The Cayley color graph of a group presentation
  • an introduction to surface topology
  • Imbedding problems in graph theory
  • The genus of a group
  • Map-coloring problems
  • Quotient graphs and quotient manifolds (and quotient groups!)
  • Voltage graphs
  • Nonorientable graph imbeddings
  • Block designs
  • Hypergraph imbeddings
  • Map automorphism groups
  • Change ringing
  • Includes bibliographical references (pages 303-304)