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T=0 Partition Functions for Potts Antiferromagnets on Moebius Strips and Effects of Graph Topology

Robert Shrock
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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 $L_y=2$ 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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Robert Shrock. 1999-08-24. T=0 Partition Functions for Potts Antiferromagnets on Moebius Strips and Effects of Graph Topology. https://doi.org/10.1016/s0375-9601(99)00611-8

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