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Complexity: Knots, colourings and counting. (English) Zbl 0799.68008
London Mathematical Society Lecture Note Series. 186. Cambridge: Cambridge University Press. viii, 163 p. £19.95 (1993).

The aim of these notes is “to link together algorithmic problems arising in knot theory, statistical physics and classical combinatorics. Apart from the theory of computational complexity concerned with enumeration problems, introductions are given to several of the topics treated, such as combinatorial knot theory, randomised approximation algorithms, percolation and random cluster models.

To researchers in discrete mathematics, computer science and statistical physics, this book will be great interest, but any non-expert should find it an appealing guide to a very active area of research”.


MSC:
68-02Research monographs (computer science)
57M25Knots and links in the 3-sphere
03D15Complexity of computation
68Q15Complexity classes of computation
68R05Combinatorics in connection with computer science
82B43Percolation (equilibrium statistical mechanics)