Acyclic orientations on the Sierpinski gasket
classification
🧮 math-ph
math.MP
keywords
gasketsierpinskiacyclicasymptoticorientationsbehaviorsboundsconstants
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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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