Remark on the dimer problem

DOI10.1016/0166-218X(94)90106-6zbMath0808.05034WikidataQ105944661 ScholiaQ105944661MaRDI QIDQ1329818

Holger Zernitz, Horst Sachs

Publication date: 31 July 1994

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

zbMATH Keywords

arrangementsdomino tilingssquare griddimer coveringssquare tesselation

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.) (05C70) Combinatorial aspects of packing and covering (05B40) Polyominoes (05B50)

Related Items

Partial cubes and Archimedean tilings, A maximum resonant set of polyomino graphs, Dimer problem for some three dimensional lattice graphs, Dimers on the \(3^3 . 4^2\) lattice, PERFECT MATCHINGS AND GENUS OF SOME CARTESIAN PRODUCTS OF GRAPHS, An extension of the Lindström-Gessel-Viennot theorem, Perfect matchings of cellular graphs, Perfect matchings of trimmed Aztec rectangles, A bijection proving the Aztec diamond theorem by combing lattice paths, Augmented Aztec bipyramid and dicube tilings, Perfect matchings on a type of lattices with toroidal boundary, Off-diagonally symmetric domino tilings of the Aztec diamond, Domino tilings of the expanded Aztec diamond, Domino tilings of Aztec octagons, Dimers belonging to three orientations on plane honeycomb lattices, State matrix recursion method and monomer-dimer problem, Domino tilings for augmented Aztec rectangles and their chains, Counting domino tilings of rectangles via resultants, Local statistics for random domino tilings of the Aztec diamond, Why Delannoy numbers?

Cites Work

• Combinatorial methods
• The statistics of dimers on a lattice
• Statistical Mechanics of Dimers on a Plane Lattice
• Dimer problem in statistical mechanics-an exact result
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