Acyclic Orientations on the Generalized Two-Dimensional Sierpinski Gasket

被引：0
|
作者：
Chang, Shu-Chiuan [1 ]
机构：
[1] Natl Cheng Kung Univ, Dept Phys, Tainan 70101, Taiwan
来源：
NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2011: INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS, VOLS A-C | 2011年 / 1389卷
关键词：
acyclic orientations; Sierpinski gasket; recursion relations; asymptotic growth constant;
D O I：
10.1063/1.3636778
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the number of acyclic orientations on the generalized two-dimensional Sierpinski gasket SG(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.
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