Graphs of groups on surfaces : interactions and models /

The book, suitable as both an introductory reference and as a text book in the rapidly growing field of topological graph theory, models both maps (as in map-coloring problems) and groups by means of graph imbeddings on sufaces. Automorphism groups of both graphs and maps are studied. In addition co...

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Bibliographic Details
Call Number:Libro Electrónico
Main Author: White, Arthur T.
Format: Electronic eBook
Language:Inglés
Published: Amsterdam ; New York : Elsevier, 2001.
Edition:1st ed.
Series:North-Holland mathematics studies ; 188.
Subjects:
Topological graph theory.
Th�eorie des graphes topologiques.
MATHEMATICS > Graphic Methods.
Topological graph theory
Online Access:Texto completo
Texto completo
Texto completo
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: Current Graphs and the Complete Graph Theorem
  • Voltage Graphs
  • Nonorientable Graph Imbeddings
  • Block Designs
  • Hypergraph Imbeddings
  • Finite Fields on Surfaces
  • Finite Geometries on Surfaces
  • Map Automorphisms Groups
  • Enumerating Graph Imbeddings
  • Random Topological Graph Theory
  • Change Ringing.

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