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    The Foundations of Topological Graph Theory

    ISBN-10: 1461275733
    ISBN-13: 9781461275732
    Author(s): C. Paul Bonnington, Charles H. C. Little
    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  More...
    Buy it from: $101.66
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    Publisher: Springer-Verlag New York Inc.
    Binding: Paperback
    Pages: 178
    Size: 3.94" wide x 61.42" long x 92.13" tall
    Weight: 657.800
    Language: English

    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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