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