The antiferromagnetic Ising model beyond line graphs

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Bibliographic Details
Main Author:	Jerrum, Mark
Format:	Preprint
Published:	2026
Subjects:	Computational Complexity Combinatorics Probability 68Q17 (Primary) 05C31 05C75 82B20 (Secondary)
Online Access:	Acceder al recurso
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_version_	1866911450777255936
author	Jerrum, Mark
author_facet	Jerrum, Mark
contents	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.
format	Preprint
id	arxiv_https___arxiv_org_abs_2602_14915
institution	arXiv
publishDate	2026
record_format	arxiv
spellingShingle	The antiferromagnetic Ising model beyond line graphs Jerrum, Mark Computational Complexity Combinatorics Probability 68Q17 (Primary) 05C31 05C75 82B20 (Secondary) 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.
title	The antiferromagnetic Ising model beyond line graphs
topic	Computational Complexity Combinatorics Probability 68Q17 (Primary) 05C31 05C75 82B20 (Secondary)
url	https://arxiv.org/abs/2602.14915

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