Spanning trees on the Sierpinski gasket
Statistical Mechanics
2009-11-11 v1 Combinatorics
Abstract
We obtain the numbers of spanning trees on the Sierpinski gasket with dimension equal to two, three and four. The general expression for the number of spanning trees on with arbitrary is conjectured. The numbers of spanning trees on the generalized Sierpinski gasket with and are also obtained.
Cite
@article{arxiv.cond-mat/0609453,
title = {Spanning trees on the Sierpinski gasket},
author = {Shu-Chiuan Chang and Lung-Chi Chen},
journal= {arXiv preprint arXiv:cond-mat/0609453},
year = {2009}
}
Comments
20 pages, 8 figures, 1 table