The energy and spanning trees of the Aztec diamonds

DOI10.1016/J.DISC.2010.09.018zbMath1225.05133OpenAlexW2083376205MaRDI QIDQ616359

Genzhen Yu

Publication date: 7 January 2011

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

Full work available at URL: https://doi.org/10.1016/j.disc.2010.09.018

zbMATH Keywords

energyenumerationnumber of spanning treesAztec diamondtoroidal boundary condition

Mathematics Subject Classification ID

Trees (05C05) Enumeration in graph theory (05C30) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.) (05C70) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Cites Work

• Unnamed Item
• Matching polynomials and duality
• Local characteristics, entropy and limit theorems for spanning trees and domino tilings via transfer-impedances
• A visual proof of a result of Knuth on spanning trees of Aztec diamonds in the case of odd order
• Alternating-sign matrices and domino tilings. I
• Aztec diamonds, checkerboard graphs, and spanning trees
• Energies of some non-regular graphs
• Spanning trees on graphs and lattices inddimensions
• Asymptotic Enumeration of Spanning Trees
• A new 5‐arc‐transitive cubic graph

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