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The aim of these notes is to link algorithmic problems arising in knot theory with statistical physics and classical combinatorics. Apart from the theory of computational complexity needed to deal with enumeration problems, introductions are given to several of the topics, such as combinatorial knot theory, randomized approximation models, percolation, and random cluster models.
Reviews & endorsements
"...suitable for advanced graduate students and researchers in complexity theory...The list of references is long and good, and the index is useful." Computing ReviewsSee more reviews
"...an urbane presentation...of the seemingly disparate threads that will some day be the new math...the author has attained a degree of clarity and readability that few mathematicians today are capable of." Gian-Carlo Rota
"...certain to be a valuable reference..." Lorenzo Traldi, Mathematical Reviews
"A clear and up-to-date survey of what's known--and what's still unknown." American Mathematical Monthly
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- Date Published: August 1993
- format: Paperback
- isbn: 9780521457408
- length: 172 pages
- dimensions: 227 x 151 x 12 mm
- weight: 0.259kg
- contains: 70 line figures
- availability: Available
Table of Contents
1. The complexity of enumeration
2. Knots and links
3. Colourings, flows and polynomials
4. Statistical physics
5. Link polynomials
6. Complexity questions
7. The complexity of uniqueness and parity
8. Approximation and randomisation
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