Synopses & Reviews
This definitive treatment written by well-known experts emphasizes graph imbedding while providing thorough coverage of the connections between topological graph theory and other areas of mathematics: spaces, finite groups, combinatorial algorithms, graphical enumeration, and block design. Almost every result of studies in this field is covered, including most proofs and methods. Its numerous examples and clear presentation simplify conceptually difficult material, making the text accessible to students as well as researchers. Includes an extensive list of references to current literature.
Table of Contents
Introduction.
Voltage Graphs and Covering Spaces.
Surfaces and Graph Imbeddings.
Imbedded Voltage Graphs and Current Graphs.
Map Colorings.
The Genus of A Group.
References.