The energy and spanning trees of the Aztec diamonds
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Publication:616359
DOI10.1016/J.DISC.2010.09.018zbMath1225.05133OpenAlexW2083376205MaRDI QIDQ616359
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
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
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- 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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