Topological graph theory

By: Jonathan L. GrossContributor(s): Thomas W. TuckerMaterial type: TextTextPublication details: New York: Dover Publications, Inc. [c1987]Description: 361 pISBN: 9780486417417LOC classification: QA166
Contents:
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
Summary: 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
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Item type Current library Collection Shelving location Call number Status Notes Date due Barcode Item holds
Book Book ICTS
Mathematic Rack No 4 QA166 (Browse shelf (Opens below)) Available Billno:IN 002 601; Billdate: 2020-10-18 00777
Total holds: 0

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

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

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