Spanning trees on the Sierpinski gasket

Details Spanning trees on the Sierpinski gasket Spanning trees on the Sierpinski gasket

2006-09-19

arxiv.org/abs/cond-mat/0609453v1

J. Stat. Phys. 126 (2007) 649-667

Physics

Condensed Matter

Statistical Mechanics

20 pages, 8 figures, 1 table

Scientific paper

10.1007/s10955-006-9262-0

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

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