The antiferromagnetic Ising model beyond line graphs
Computational Complexity
2026-02-17 v1 Combinatorics
Probability
Abstract
Both 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.
Cite
@article{arxiv.2602.14915,
title = {The antiferromagnetic Ising model beyond line graphs},
author = {Mark Jerrum},
journal= {arXiv preprint arXiv:2602.14915},
year = {2026}
}