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Ground State Entropy in Potts Antiferromagnets and Chromatic Polynomials

arXiv:hep-lat/9809061 · doi:10.1016/S0920-5632(99)85193-7

Abstract

We discuss recent results on ground state entropy in Potts antiferromagnets and connections with chromatic polynomials. These include rigorous lower and upper bounds, Monte Carlo measurements, large--$q$ series, exact solutions, and studies of analytic properties. Some related results on Fisher zeros of Potts models are also mentioned.

LATTICE98(spin) 3 pages, Latex