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Matching Theory

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The subject has obviously advanced a lot since the book was published, but the overview provided is still unmatched. The book has concise and clear expositions of things I did not expect to see there (for example, Kasteleyn's enumeration theory for planar graphs), and which are hard to find anywhere else. Should be right next to Combinatorial Problems and Exercises (AMS Chelsea Publishing) on your bookshelf.

Author(s): L. Lovász and M.D. Plummer (Eds.)
Series: North-Holland Mathematics Studies 121
Edition: 1st
Publisher: Elsevier Science Ltd
Year: 1986

Language: English
Pages: C1, D1, vii-xxxiii

Content:
Edited by
Page C1

Copyright page
Page D1

Preface
Pages vii-xxvii

Basic Terminology
Pages xxix-xxxiii

1 Matchings in Bipartite Graphs
Pages 1-40

2 Flow Theory
Pages 41-81

3 Size and Structure of Maximum Matchings
Pages 83-119

4 Bipartite Graphs with Perfect Matchings
Pages 121-141

5 General Graphs with Perfect Matchings
Pages 143-211

6 Some Graph-theoretical Problems Related to Matchings
Pages 213-254

7 Matching and Linear Programming
Pages 255-305

8 Determinants and Matchings
Pages 307-355

9 Matching Algorithms
Pages 357-382

10 The f-factor Problem
Pages 383-408

11 Matroid Matching
Pages 409-441

12 Vertex Packing and Covering
Pages 443-482

References Review Article
Pages 483-526

Index of Terms
Pages 527-537

Index of Symbols
Pages 539-544