%0 Journal Article
%T Spanning forests on the Sierpinski gasket
%A Shu-Chiuan Chang
%A Lung-Chi Chen
%J Discrete Mathematics & Theoretical Computer Science
%D 2008
%I Discrete Mathematics & Theoretical Computer Science
%X 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 $SG_{2,b}$.
%U http://www.dmtcs.org/dmtcs-ojs/index.php/dmtcs/article/view/639