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  "path": "/abs/2602.14915v1",
  "publishedAt": "2026-02-17T01:00:00.000Z",
  "site": "https://arxiv.org",
  "tags": [
    "Mark Jerrum"
  ],
  "textContent": "**Authors:** Mark Jerrum\n\nBoth the antiferromagnetic Ising model and the hard-core model could be said to be tractable on line graphs of bounded degree. For example, Glauber dynamics is rapidly mixing in both cases. In the case of the hard-core model, we know that tractability extends further, to claw-free graphs and somewhat beyond. In contrast, it is shown here that the corresponding extensions are not possible in the case of the antiferromagnetic Ising model.",
  "title": "The antiferromagnetic Ising model beyond line graphs"
}