Spanning trees on the Sierpinski gasket

Shu-Chiuan Chang, Lung Chi Chen, Wei Shih Yang

Research output: Contribution to journalArticle

72 Citations (Scopus)

Abstract

We present the numbers of spanning trees on the Sierpinski gasket SG d (n) at stage n with dimension d equal to two, three and four. The general expression for the number of spanning trees on SG d (n) with arbitrary d is conjectured. The numbers of spanning trees on the generalized Sierpinski gasket SG d,b (n) with d = 2 and b = 3,4 are also obtained.

Original languageEnglish
Pages (from-to)649-667
Number of pages19
JournalJournal of Statistical Physics
Volume126
Issue number3
DOIs
Publication statusPublished - 2007 Feb 1

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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