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arXiv · 1603.00081

On the Potts antiferromagnet on random graphs

Amin Coja-Oghlan·Nor Jaafari
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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 $d \le (2k-1)\ln k - 2 - k^{-1/2}$. In particular, we show that for this regime of $d$ there does not occur a phase transition.

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Amin Coja-Oghlan, Nor Jaafari. 2016-02-29. On the Potts antiferromagnet on random graphs. https://arxiv.org/abs/1603.00081

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