{
  "id": "1603.00081",
  "version": "v1",
  "published": "2016-02-29T22:45:01.000Z",
  "updated": "2016-02-29T22:45:01.000Z",
  "title": "On the Potts antiferromagnet on random graphs",
  "authors": [
    "Amin Coja-Oghlan",
    "Nor Jaafari"
  ],
  "categories": [
    "math.PR",
    "math.CO"
  ],
  "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.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-02-29T22:45:01.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05C80",
      "82B20",
      "97K50",
      "97K50",
      "82B44"
    ],
    "keywords": [
      "random graph",
      "potts antiferromagnet",
      "average degrees",
      "free energy",
      "phase transition"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016arXiv160300081C"
    }
  }
}