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Bipartite Graphs and their Applications : Cambridge Tracts in Mathematics - Armen S. Asratian

Bipartite Graphs and their Applications

Cambridge Tracts in Mathematics

Hardcover Published: 13th August 1998
ISBN: 9780521593458
Number Of Pages: 272

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Bipartite graphs are perhaps the most basic of objects in graph theory, both from a theoretical and practical point of view. However, until now they have been considered only as a special class in some wider context. This is the first book which deals solely with bipartite graphs. Together with traditional material, the reader will also find many new and unusual results. Essentially all proofs are given in full; many of these have been streamlined specifically for this text. Numerous exercises of all standards have also been included. The theory is illustrated with many applications especially to problems in timetabling, chemistry, communication networks and computer science. For the most part the material is accessible to any reader with a graduate understanding of mathematics. However, the book contains advanced sections requiring much more specialized knowledge, which will be of interest to specialists in combinatorics and graph theory.

"...excellent monograph...This is an invaluable book and an indispensable resource for any serious student of graph theory." Mathematics of Computing "...the treatment of topics is clear and self-contained and shows considerable design, work, and thought...as a volume in the series Cambridge Tracts in Mathematics, this book has the mandate to 'take up a single thread in a wide subject and follow its ramifications, thus throwing light on its various aspects.' This book does that, beautifully." Siam Review

Basic conceptsp. 1
Introduction to bipartite graphsp. 7
Metric propertiesp. 23
Connectivityp. 45
Maximum matchingsp. 56
Expanding propertiesp. 75
Subgraphs with restricted degreesp. 97
Edge colouringsp. 125
Doubly stochastic matrices and bipartite graphsp. 163
Coveringsp. 174
Some combinatorial applicationsp. 192
Bipartite subgraphs of arbitrary graphsp. 214
Appendixp. 232
Referencesp. 237
Indexp. 256
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9780521593458
ISBN-10: 052159345X
Series: Cambridge Tracts in Mathematics
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 272
Published: 13th August 1998
Publisher: Cambridge University Press
Country of Publication: GB
Dimensions (cm): 22.8 x 15.2  x 2.3
Weight (kg): 0.57