On the Potts antiferromagnet on random graphs
Abstract
Extending a prior result of Contucci et al (Comm. Math. Phys. 2013), we determine the free energy of the Potts antiferromagnet on the Erd\"os-R\'enyi random graph at all temperatures for average degrees d (2k-1) k - 2 - k-1/2. In particular, we show that for this regime of d there does not occur a phase transition.
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