2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/137718In this note, we give a closed formula for the partition function of the dimer model living on a (2 x n) strip of squares or hexagons on the torus for arbitrary even n. The result is derived in two ways, by using a Potts model like description for the dimers, and via a recursion relation that was obtained from a map to a 1D monomer-dimer system. The problem of finding the number of perfect matchings can also be translated to the problem of finding a minmal feedback arc set on the dual graph.19 pages, 12 figuresCombinatoricsStatistical MechanicsHigh Energy Physics - Theorytext