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Spanning forests on the Sierpinski gasket

Abstract : We study the number of spanning forests on the Sierpinski gasket SGd(n) at stage n with dimension d equal to two, three and four, and determine the asymptotic behaviors. The corresponding results on the generalized Sierpinski gasket SGd;b(n) with d = 2 and b = 3 ; 4 are obtained. We also derive upper bounds for the asymptotic growth constants for both SGd and SG2,b.
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Shu-Chiuan Chang, Lung-Chi Chen. Spanning forests on the Sierpinski gasket. Discrete Mathematics and Theoretical Computer Science, DMTCS, 2008, 10 (2), pp.55--76. ⟨hal-00972319⟩

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