Matching Theory

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Matching Theory image
ISBN-10:

0821847597

ISBN-13:

9780821847596

Released: Aug 19, 2009
Format: Hardcover, 547 pages
Related ISBN: 9780444879165

Description:

This book surveys matching theory, with an emphasis on connections with other areas of mathematics and on the role matching theory has played, and continues to play, in the development of some of these areas. Besides basic results on the existence of matchings and on the matching structure of graphs, the impact of matching theory is discussed by providing crucial special cases and nontrivial examples on matroid theory, algorithms, and polyhedral combinatorics. The new Appendix outlines how the theory and applications of matching theory have continued to develop since the book was first published in 1986, by launching (among other things) the Markov Chain Monte Carlo method.

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