An expression for the perfect matching number of cubic \(2\times m\times n\) lattices and their asymptotic values

DOI10.1007/BF01169209zbMath0898.92032OpenAlexW4230521685MaRDI QIDQ679048

Haruo Hosoya, Hideyuki Narumi, Hideaki Kita

Publication date: 5 November 1998

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

Full work available at URL: https://doi.org/10.1007/bf01169209

zbMATH Keywords

cubic latticeshydrocarbonsperfect matching number

Mathematics Subject Classification ID

Molecular structure (graph-theoretic methods, methods of differential topology, etc.) (92E10) Applications of statistical mechanics to specific types of physical systems (82D99)

Related Items (1)

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

Cites Work

• 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
• Unnamed Item

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