Topological Graph Theory - (Dover Books on Mathematics) by Jonathan L Gross & Thomas W Tucker (Paperback)

About the Book

Introductory treatment emphasizes graph imbedding but also covers connections between topological graph theory and other areas of mathematics. Discusses role of voltage graphs, Ringel-Youngs theorem, genus of a group, more. 1987 edition.

Book Synopsis

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.

About 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.