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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.
| Price | Condition | Delivery | Seller | Action |
| $99.99 | Digital |
| WonderClub |
Adrian Yoshiyama
reviewed Matching Theory on August 13, 2009
Matching Theory
If it weren't for the obscene amount of typos, I would give the book 5 stars. However, the book becomes incredibly difficult to read at times due to these typos, which force the reader to doubt himself. An egregious example of a typo occurs in the chapter on complexity theory. Here, Bona gives an example of a Turing Machine which is supposed to determine if a number is divisible by 3. Unfortunately, the machine may stay at the "start" state indefinitely, therefore never halting. There are also typos in some of the end-of-chapter equation lists.
The typos, in my opinion, warrant a 2 star deduction from an otherwise 5 star book.
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