Merijn Moody

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math.CO2026

A formal framework for higher-order spin models via hypergraphs, polymatroids, and the Tutte polynomial

Khallil Berrekkal, Joanna A. Ellis-Monaghan, Merijn Moody +1

We develop a rigorous mathematical framework for statistical mechanics models on hypergraphs, and give conditions for lifting the classical connection between Potts model partition…

math.CO2026

A Hypergraph Tutte Polynomial

Khallil Berrekkal, Joanna A. Ellis-Monaghan, Merijn Moody

We introduce a Tutte polynomial for hypergraphs, $T_{HG}$ , together with $T_{k}$ , a related Tutte polynomial for $k$ -polymatroids. Both invariants admit deletion--contractio…