For the Monomer-Dimer Problem on Triangular and Hexagonal Lattices, the New p-Expansion

preprint2011arXivOpen access

Abstract

In a recent paper S. Friedland and the author presented a formal expression for lambda_d(p) of the monomer-dimer problem on a d-dimensional rectangular lattice, which involved a power series in p. Herein, we find simlar expressions for lambda_tri(p) and lambda_hex(p), the entropy per site for triangular and hexagonal lattices.

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