DIMERS AND SPANNING TREES: SOME RECENT RESULTS

DOI10.1142/S0217979202011676zbMath1073.82529OpenAlexW3024232728MaRDI QIDQ5312052

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Publication date: 30 August 2005

Published in: International Journal of Modern Physics B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0217979202011676

Mathematics Subject Classification ID

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

Related Items (2)

Pfaffian orientations and perfect matchings of scale-free networks ⋮ Counting spanning trees in self-similar networks by evaluating determinants

Cites Work

• Matchings in graphs on non-orientable surfaces
• Spanning trees on hypercubic lattices and nonorientable surfaces
• Exact partition functions and correlation functions of multiple Hamiltonian walks on the Manhattan lattice.
• Dimer statistics on the Möbius strip and the Klein bottle
• The statistics of dimers on a lattice
• Statistical Mechanics of Dimers on a Plane Lattice
• Spanning trees on graphs and lattices inddimensions
• Dimer problem in statistical mechanics-an exact result
• Dimers on Rectangular Lattices
• The asymptotic determinant of the discrete Laplacian

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