Type of bind: Hardcover
Dewey Decimal Number: 511.5
EAN num: 9780471049265
ISBN number: 0471049263
Label: John Wiley & Sons
Manufacturer: John Wiley & Sons
Quantity: 1
Page Count: 368
Printing Date: 1987-06
Publishing house: John Wiley & Sons
Sale Popularity Level: 1924743
Studio: John Wiley & Sons
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Editor's Notes and Comments:
Product Description:
A comprehensive, definitive work on topological graph theory. While the principle concern in the book is graph imbedding, the text will emphasize connections to other parts of mathematics: spaces, finite groups, combinatorial algorithms, graphical enumeration and block designs. Intended for mathematicians, statisticians and computer scientists, the clear writing style and numerous examples will provide sufficient concrete interests to simplify the understanding of conceptually difficult material. The book includes nearly every result in topological graph theory, including most proofs, or where proof is omitted, an indication of the method is given. Also included is a complete proof of the classification of surfaces, along with a complete reference to the field of topological graph theory, and an extensive list of references to the current literature in the field.
User popularity level:
Rated by buyers -
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.
Rated by buyers -
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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