Isomorphism of dimer configurations and spanning trees on finite square lattices

DOI10.1063/1.531214zbMath0966.82502OpenAlexW2009774710MaRDI QIDQ4873375

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Publication date: 19 May 1996

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

Full work available at URL: https://doi.org/10.1063/1.531214

Mathematics Subject Classification ID

Trees (05C05) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (3)

Counting spanning trees of a type of generalized Farey graphs ⋮ Exact solution of the 2d dimer model: corner free energy, correlation functions and combinatorics ⋮ Transfer matrix for spanning trees, webs and colored forests

Cites Work

• Exact partition functions and correlation functions of multiple Hamiltonian walks on the Manhattan lattice.
• Partition function of the eight-vertex lattice model
• The statistics of dimers on a lattice
• Statistical Mechanics of Dimers on a Plane Lattice
• Surface free energy of the critical six-vertex model with free boundaries
• Self-organized critical state of sandpile automaton models
• Dimer problem in statistical mechanics-an exact result
• Statistical Mechanics of Dimers on a Plane Lattice. II. Dimer Correlations and Monomers

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