Bipartite Graphs and their Applications

by
Edition: Revised
Format: Paperback
Pub. Date: 2008-06-12
Publisher(s): Cambridge University Press
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Summary

Bipartite graphs are perhaps the most basic of objects in graph theory, both from a theoretical and practical point of view. However, sometimes they have been considered only as a special class in some wider context. This book deals solely with bipartite graphs. Together with traditional material, the reader will also find many 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.

Table of Contents

Basic concepts
Biparticity
Metric properties
Connectivity
Maximum matchings
Expanding properties
Subgraphs with restricted degrees
Edge colourings
Doubly stochastic matrices and bipartite graphs
Coverings
Some combinatorial applications
Bipartite subgraphs of arbitrary graphs
Table of Contents provided by Publisher. All Rights Reserved.

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