Topological Graph Theory
by Jonathan L. Gross
2021-01-01 16:08:09
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 c...
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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, 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.
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