On the absence of phase transition in the monomer-dimer model

  • Authors:

  • J. Berg

  • Affiliations:

  • -

  • Venue:
  • On the absence of phase transition in the monomer-dimer model
  • Year:
  • 1998

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Abstract

Suppose we cover the set of vertices of a graph $G$ by non-overlapping monomers (singleton sets) and dimers (pairs of vertices corresponding to an edge). Each way to do this is called a monomer-dimer configuration. If $G$ is finite and $\lambda