spanning forests on the sierpinski gasket
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ID: 248633
2008
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Abstract
We present the numbers of spanning forests on the Sierpinski gasket $SG_d(n)$ 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 $SG_{d,b}(n)$ with $d=2$ and $b=3,4$ are obtained. We also derive the upper bounds of the asymptotic growth constants for both $SG_d$ and $SG_{2,b}$.
| Reference Key |
chang2008discretespanning
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| Authors | ;Shu-Chiuan Chang;Lung-Chi Chen |
| Journal | Proteins |
| Year | 2008 |
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