Topological Graph Theory (Dover Books on Mathematics)

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.