T=0 Partition Functions for Potts Antiferromagnets on Moebius Strips and Effects of Graph Topology
Robert Shrock
Abstract
We present exact calculations of the zero-temperature partition function of the q-state Potts antiferromagnet (equivalently the chromatic polynomial) for Moebius strips, with width Ly=2 or 3, of regular lattices and homeomorphic expansions thereof. These are compared with the corresponding partition functions for strip graphs with (untwisted) periodic longitudinal boundary conditions.
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