English

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 SGd(n)SG_d(n) with dimension dd equal to two, three and four. The general expression for the number of spanning trees on SGd(n)SG_d(n) with arbitrary dd is conjectured. The numbers of spanning trees on the generalized Sierpinski gasket SGd,b(n)SG_{d,b}(n) with d=2d=2 and b=3,4b=3,4 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

R2 v1 2026-07-22T11:37:21.265Z