Acyclic orientations on the sierpinski gasket

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4 Citations (Scopus)


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 of SG 2,b and d-dimensional Sierpinski gasket SG d.

Original languageEnglish
Article number1250128
JournalInternational Journal of Modern Physics B
Issue number24
Publication statusPublished - 2012 Sept 30

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Condensed Matter Physics


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