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Foundations of Topological Graph Theory

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ISBN-10: 0387945571

ISBN-13: 9780387945576

Edition: 1995

Authors: C. Paul Bonnington, Charles H. Little

List price: $74.95
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Description:

This is a book on topological graph theory written from a purely combinatorial viewpoint. The aim is to develop a rigorous approach to the foundations of the subject. The book should therefore appeal to graduate students and researchers in topological graph theory. The basic tool used is the idea of a 3-graph which is a cubic graph endowed with a proper edge colouring in three colours. A special case of a 3-graph, called a gem, provides a model for a cellular imbedding of a graph in a surface. Thus theorems about imbeddings of graphs become theorems about gems. In the book we show that many of these theorems generalise to theorems about 3-graphs.
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Book details

List price: $74.95
Copyright year: 1995
Publisher: Springer
Publication date: 10/20/1995
Binding: Hardcover
Pages: 178
Size: 6.50" wide x 9.50" long x 0.50" tall
Weight: 0.990
Language: English

Preface
Introduction
Maps
Classification of Surfaces
Consistent and Coherent Orientations
Non-separating Curves in Surfaces
Mac Lane's Theorem for 3-Graphs
Kuratowski's Theorem
Duality
Rings of Bonds
Bridges
Bibliography
List of Symbols
Index