On the Potts Antiferromagnet on Random Graphs

Amin Coja-Oghlan, Nor Jaafari


Extending a prior result of Contucci et al. [Comm. Math. Phys. 2013], we determine the free energy of the Potts antiferromagnet on the Erdős–Rényi 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.


Potts model, Random Graphs

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