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arXiv · 2012.00806

Some applications of Wagner's weighted subgraph counting polynomial

Ferenc Bencs·Péter Csikvári·Guus Regts
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Abstract

We use Wagner's weighted subgraph counting polynomial to prove that the partition function of the anti-ferromagnetic Ising model on line graphs is real rooted and to prove that roots of the edge cover polynomial have length at most $4$. We moreover discuss how our results relate to efficient algorithms for approximately computing evaluations of these polynomials.

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Ferenc Bencs, Péter Csikvári, Guus Regts. 2021-09-20. Some applications of Wagner's weighted subgraph counting polynomial. https://arxiv.org/abs/2012.00806

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