Expressions for the perfect matching numbers of cubic \(l\times m\times n\) lattices and their asymptotic values

DOI10.1007/BF01165156zbMath0891.05058MaRDI QIDQ1381251

Hideyuki Narumi, Haruo Hosoya, Hideaki Kita

Publication date: 8 July 1998

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

zbMATH Keywords

dimersperfect matching numberplane square lattice

Mathematics Subject Classification ID

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

Cites Work

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• An expression for the perfect matching number of cubic \(2\times m\times n\) lattices and their asymptotic values
• A note on the occupational degeneracy for dimers on a saturated two- dimensional lattice space
• The statistics of dimers on a lattice
• Statistical Mechanics of Dimers on a Plane 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
• Generalized expression for the numbers of perfect matching of cylindrical m×n graphs
• Generalized expression of the perfect matching number for 2×3×n lattices
• Dimer problem in statistical mechanics-an exact result
• The Factorization of Linear Graphs

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