For fixed d,l ≥ 2 the normalized logarithm of the monomer-dimer partition function on the configuration model of random d-regular l-uniform hypergraphs converges in probability to an explicit variational value when the replica-symmetric saddle is the unique maximizer.
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Matchings on Random Regular Hypergraphs
For fixed d,l ≥ 2 the normalized logarithm of the monomer-dimer partition function on the configuration model of random d-regular l-uniform hypergraphs converges in probability to an explicit variational value when the replica-symmetric saddle is the unique maximizer.