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.
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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.
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3 of 3 people found the following review helpful:
4.0 out of 5 stars
A recognized Classical text,
By R. Bagula "Roger L. Bagula" (Lakeside, Ca United States) - See all my reviews (VINE VOICE) (REAL NAME)
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This review is from: Topological Graph Theory (Dover Books on Mathematics) (Paperback)
This book had much that I needed to know about graph theory.
It is well written and includes much of the information needed. It has three problems in notation that bother me: 1) Bn for Bouquets is like the Bn used for Braid groups. 2) definitions of "stars" are more the classical star than the current usage as central point with radial connections. 3)The book doesn't distinguish well enough between "graphs" with are symmetrical adjacency matrices and "digraphs" and ends up confusing the issue it should clarify. The book also shorts the reader on matrix theory connected to the graphs. It tends to use an older approach to graphs that has to be adapted to modern computer mathematical systems.
9 of 12 people found the following review helpful:
4.0 out of 5 stars
Excellent,
By David Diez (Boston, MA) - See all my reviews
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This review is from: Topological Graph Theory (Dover Books on Mathematics) (Paperback)
This book is written at a graduate level. It is written, for the most part, clearly and methodically. There are about 300 problems throughout the text, but there are no solutions in this book for those problems.Titles of the 6 Chapters (with the number of pages in each chapter): 1) Introduction (to graph theory), 55; 2) Voltage Graphs and Covering Spaces, 40; 3) Surfaces and Graph Embeddings, 68; 4) Imbedded Voltage Graphs and Current Graphs, 54; 5) Map Colorings, 35; and 6) The Genus of a Group, 71. This book is sufficient for self-study.
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