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
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.
引用
下载
收藏
页数:4
相关论文
共 50 条
  • [31] Generalized two-dimensional correlation spectroscopy
    Noda, I
    Dowrey, AE
    Marcott, C
    Story, GM
    Ozaki, Y
    APPLIED SPECTROSCOPY, 2000, 54 (07) : 236A - 248A
  • [32] On a generalized two-dimensional Gibbs Statistics
    Kar, Kulesh Ch.
    Mazumdar, R.
    ZEITSCHRIFT FUR PHYSIK, 1929, 55 (7-8): : 546 - 554
  • [33] Generalized geometry of two-dimensional vacua
    Rosa, Dario
    JOURNAL OF HIGH ENERGY PHYSICS, 2014, (07):
  • [34] TWO-DIMENSIONAL GENERALIZED TODA LATTICE
    MIKHAILOV, AV
    OLSHANETSKY, MA
    PERELOMOV, AM
    COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1981, 79 (04) : 473 - 488
  • [35] PHASE-TRANSITIONS ON A TWO-DIMENSIONAL SIERPINSKI-TYPE FRACTAL
    BHATTACHARYA, S
    PHYSICS LETTERS A, 1985, 112 (1-2) : 51 - 52
  • [37] MEAN VALUE PROPERTY OF HARMONIC FUNCTION ON THE HIGHER-DIMENSIONAL SIERPINSKI GASKET
    Wu, Yipeng
    Chen, Zhilong
    Zhang, Xia
    Zhao, Xudong
    FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 2020, 28 (05)
  • [38] SPECTRALITY OF SELF-AFFINE MEASURES ON THE THREE-DIMENSIONAL SIERPINSKI GASKET
    Li, Jian-Lin
    PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, 2012, 55 : 477 - 496
  • [39] ASYMPTOTICALLY ONE-DIMENSIONAL DIFFUSIONS ON THE SIERPINSKI GASKET AND THE ABC-GASKETS
    HATTORI, K
    HATTORI, T
    WATANABE, H
    PROBABILITY THEORY AND RELATED FIELDS, 1994, 100 (01) : 85 - 116
  • [40] Edge orientations of mechanically exfoliated anisotropic two-dimensional materials
    Yang, Juntan
    Wang, Yi
    Li, Yinfeng
    Gao, Huajian
    Chai, Yang
    Yao, Haimin
    JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 2018, 112 : 157 - 168