Topological Graph Theory

Topological Graph Theory

by Jonathan L. Gross, Thomas W. Tucker
     
 

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Clear, comprehensive introduction emphasizes graph imbedding but also covers thoroughly the connections between topological graph theory and other areas of mathematics. Discussion of imbeddings into surfaces is combined with a complete proof of the classification of closed surfaces. Authors explore the role of voltage graphs in the derivation of genus formulas,

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Overview

Clear, comprehensive introduction emphasizes graph imbedding but also covers thoroughly the connections between topological graph theory and other areas of mathematics. Discussion of imbeddings into surfaces is combined with a complete proof of the classification of closed surfaces. Authors explore the role of voltage graphs in the derivation of genus formulas, explain the Ringel-Youngs theorem — a proof that revolutionized the field of graph theory — and examine the genus of a group, including imbeddings of Cayley graphs. 1987 edition. Many figures.

Product Details

ISBN-13:
9780486417417
Publisher:
Dover Publications
Publication date:
08/16/2012
Series:
Dover Books on Mathematics Series
Edition description:
Reprint
Pages:
384
Sales rank:
1,142,739
Product dimensions:
5.38(w) x 8.44(h) x 0.74(d)

Meet the Author

Jonathan L. Gross is Professor of Computer Science at Columbia University. His research in topology, graph theory, and cultural sociometry has resulted in a variety of fellowships and research grants.
Thomas W. Tucker is Mathematics Professor at Colgate University. His research interests include topology, group theory, and combinatorics.

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