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arxiv: cond-mat/0609453 · v1 · submitted 2006-09-19 · ❄️ cond-mat.stat-mech · math.CO

Spanning trees on the Sierpinski gasket

classification ❄️ cond-mat.stat-mech math.CO
keywords spanningtreesgasketsierpinskinumbersarbitraryconjectureddimension
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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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