A Reciprocity Theorem for Monomer-Dimer Coverings

The problem of counting monomer-dimer coverings of a lattice is a longstanding problem in statistical mechanics.It has only been exactly solved for the special case of dimer coverings in two dimensions ([Ka61], [TF61]). In earlier work, Stanley [St85] proved a reciprocity principle governing the num...

Full description

Bibliographic Details
Main Authors: Nick Anzalone, John Baldwin, Ilya Bronshtein, Kyle Petersen
Format: Article
Language:English
Published: Discrete Mathematics & Theoretical Computer Science 2003-01-01
Series:Discrete Mathematics & Theoretical Computer Science
Subjects:
Online Access:https://dmtcs.episciences.org/2305/pdf