A note on the occupational degeneracy for dimers on a saturated two- dimensional lattice space

DOI10.1016/0166-218X(84)90083-0zbMath0536.05004WikidataQ29541115 ScholiaQ29541115MaRDI QIDQ791529

R. B. McQuistan, J. L. Hock

Publication date: 1984

Published in: Discrete Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

recurrence relationsdimerrectangular latticeoccupational degeneracy

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15)

Related Items (8)

Resonance in elemental benzenoids ⋮ Expressions for the perfect matching numbers of cubic \(l\times m\times n\) lattices and their asymptotic values ⋮ Monomer-dimer tatami tilings of square regions ⋮ Generating functions for straight polyomino tilings of narrow rectangles ⋮ On dimer coverings of rectangles of fixed width ⋮ The occupation statistics for variously shaped particles on a rectangular 2×N lattice space ⋮ Generalized expression of the perfect matching number for 2×3×n lattices ⋮ Strip tiling and regular grammars

Cites Work

• Unnamed Item
• Paving the chessboard
• The dimer problem for narrow rectangular arrays: A unified method of solution, and some extensions
• The statistics of dimers on a lattice
• Fibonacci numbers revisited: A combinatorics function point of view
• Dimer problem in statistical mechanics-an exact result
• Exact Occupation Statistics for One-Dimensional Arrays of Dumbbells

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