TY - BOOK AU - Jonathan L. Gross AU - Thomas W. Tucker TI - Topological graph theory SN - 9780486417417 AV - QA166 PY - 1987///] CY - New York PB - Dover Publications, Inc. N1 - 1. Introduction 2. Voltage Graphs and Covering Spaces 3. Surfaces and Graph Imbeddings 4. Imbedded Voltage Graphs and Current Graphs 5. Map Colorings 6. The Genus of a Group N2 - 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.--- summary provided by publisher ER -