Acyclic orientations on the Sierpinski gasket

Details Acyclic orientations on the Sierpinski gasket Acyclic orientations on the Sierpinski gasket

2010-05-20

arxiv.org/abs/1005.3627v1

Physics

Mathematical Physics

20 pages, 8 figures and 6 tables

Scientific paper

We study the number of acyclic orientations on the generalized
two-dimensional Sierpinski gasket $SG_{2,b}(n)$ at stage $n$ with $b$ equal to
two and three, and determine the asymptotic behaviors. We also derive upper
bounds for the asymptotic growth constants for $SG_{2,b}$ and $d$-dimensional
Sierpinski gasket $SG_d$.

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