Bipartite Graphs and their Applications

by Armen S. Asratian, Tristan M. J. Denley, Roland Häggkvist

Overview

Bipartite graphs are perhaps the most basic of objects in graph theory, both from a theoretical and practical point of view. Until now, they have been considered only as a special class in some wider context. This work deals solely with bipartite graphs, providing traditional material as well as many new and unusual results. The authors illustrate the theory with many applications, especially to problems in timetabling, chemistry, communication networks and computer science. The material is accessible to any reader with a graduate understanding of mathematics and will be of interest to specialists in combinatorics and graph theory.

Product Details

ISBN-13:	9780521593458
Publisher:	Cambridge University Press
Publication date:	07/13/1998
Series:	Cambridge Tracts in Mathematics , #131
Edition description:	New Edition
Pages:	272
Product dimensions:	6.38(w) x 9.29(h) x 0.91(d)

Table of Contents

1. Basic concepts; 2. Biparticity; 3. Metric properties; 4. Connectivity; 5. Maximum matchings; 6. Expanding properties; 7. Subgraphs with restricted degrees; 8. Edge colourings; 9. Doubly stochastic matrices and bipartite graphs; 10. Coverings; 11. Some combinatorial applications; 12. Bipartite subgraphs of arbitrary graphs.

Editorial Reviews

"...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

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