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Generalized expression for the numbers of perfect matching of cylindrical m×n graphs

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Publication:3980916
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DOI10.1063/1.529254zbMath0736.05066OpenAlexW2085776335MaRDI QIDQ3980916

Hiroshi Murakami, Haruo Hosoya, Hideyuki Narumi

Publication date: 26 June 1992

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.529254

zbMATH Keywords

latticeIsing modeldimers


Mathematics Subject Classification ID

Applications of graph theory (05C90) Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.) (05C70)


Related Items

Expressions for the perfect matching numbers of cubic \(l\times m\times n\) lattices and their asymptotic values, An expression for the perfect matching number of cubic \(2\times m\times n\) lattices and their asymptotic values, Generalized expression of the perfect matching number for 2×3×n lattices



Cites Work

  • Justification of Vdovichenko's Method for the Ising Model on a Two-Dimensional Lattice
  • The statistics of dimers on a lattice
  • An effective algorithm for obtaining polynomials for dimer statistics. Application of operator technique on the topological index to two- and three-dimensional rectangular and torus lattices
  • Dimer problem in statistical mechanics-an exact result
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