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Topological graph theory

Author: Jonathan L Gross; Thomas W Tucker
Publisher: New York : Wiley, ©1987.
Series: Wiley-Interscience series in discrete mathematics and optimization.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:

A comprehensive, definitive work on topological graph theory. While the principle concern in the book is graph imbedding, the text will emphasize connections to other parts of mathematics: spaces,  Read more...

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Additional Physical Format: Online version:
Gross, Jonathan L.
Topological graph theory.
New York : Wiley, ©1987
(OCoLC)625742145
Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Jonathan L Gross; Thomas W Tucker
ISBN: 0471049263 9780471049265
OCLC Number: 15365685
Notes: "A Wiley-Interscience publication."
Description: xv, 351 pages : illustrations ; 25 cm.
Contents: 1. Representation of graphs --
Some important classes of graphs --
New graphs from old --
Surfaces and imbeddings --
More graph-theoretic background --
Planarity --
2. Voltage graphs and covering spaces --
Ordinary voltages --
Which graphs are derivable with ordinary voltages? --
Irregular covering graphs --
Permutation voltage graphs --
Subgroups of the voltage group --
3. Surfaces and graph imbeddings --
Surfaces and simplicial complexes --
Band decompositions and graph imbeddings --
The classification of surfaces --
The imbedding distribution of a graph --
Algorithms and formulas for minimum imbeddings --
4. Imbedded voltage graphs and current graphs --
The derived imbedding --
Branched coverings of surfaces --
Regular branched coverings and group actions --
Current graphs --
Voltage-current duality --
5. Map colorings --
The Heawood upper bound --
Quotients of complete-graph imbeddings and some variations --
The regular nonorientable cases --
Additional adjacencies for irregular cases --
6. The genus of a group --
The genus of abelian groups --
The symmetric genus --
Groups of small symmetric genus --
Groups of small genus.
Series Title: Wiley-Interscience series in discrete mathematics and optimization.
Responsibility: Jonathan L. Gross, Thomas W. Tucker.
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