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Spanning trees on the Sierpinski gasket

Shu-Chiuan Chang·Lung-Chi Chen
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Abstract

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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Shu-Chiuan Chang, Lung-Chi Chen. 2006-09-19. Spanning trees on the Sierpinski gasket. https://doi.org/10.1007/s10955-006-9262-0

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