The Foundations of Topological Graph Theory /
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...
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| Format: | eBook |
| Language: | English |
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New York, NY :
Springer New York,
1995.
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| Online Access: | Connect to the full text of this electronic book |
| Summary: | 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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| Item Description: | Electronic resource. |
| Physical Description: | 1 online resource (ix, 178 pages 69 illustrations) |
| Format: | Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. |
| Bibliography: | Includes bibliographical references (pages [161]-163) and index. |
| ISBN: | 9781461225409 (electronic bk.) 146122540X (electronic bk.) |