| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4648793 | Discrete Mathematics | 2011 | 7 Pages |
Abstract
The Aztec diamond was extensively studied in both graph theory and statistical physics. Knuth obtained a formula of the number of spanning trees of the Aztec diamond with the constrained boundary condition, which solved a conjecture posed by Stanley in 1994. In this paper, We give the formulae of the energy and the number of spanning trees of the Aztec diamond with the toroidal boundary condition.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
Genzhen Yu,