On the Potts Antiferromagnet on Random Graphs

Author:

Coja-Oghlan Amin,Jaafari Nor

Abstract

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.

Publisher

The Electronic Journal of Combinatorics

Subject

Computational Theory and Mathematics,Geometry and Topology,Theoretical Computer Science,Applied Mathematics,Discrete Mathematics and Combinatorics

Cited by 4 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. The replica symmetric phase of random constraint satisfaction problems;Combinatorics, Probability and Computing;2019-12-03

2. Bethe States of Random Factor Graphs;Communications in Mathematical Physics;2019-02

3. Information-theoretic thresholds from the cavity method;Advances in Mathematics;2018-07

4. Continuous spin models on annealed generalized random graphs;Stochastic Processes and their Applications;2017-11

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