Some exact results for spanning trees on lattices

Shu Chiuan Chang, Robert Shrock

研究成果: Article同行評審

26 引文 斯高帕斯(Scopus)

摘要

For n-vertex, d-dimensional lattices Λ with d ≥ 2, the number of spanning trees NST(Λ) grows asymptotically as exp(nz Λ) in the thermodynamic limit. We present an exact closed-form result for the asymptotic growth constant zbcc(d) for spanning trees on the d-dimensional body-centred cubic lattice. We also give an exact integral expression for zfcc on the face-centred cubic lattice and an exact closed-form expression for z488 on the 4 8 8 lattice.

原文English
頁(從 - 到)5653-5658
頁數6
期刊Journal of Physics A: Mathematical and General
39
發行號20
DOIs
出版狀態Published - 2006 5月 19

All Science Journal Classification (ASJC) codes

  • 統計與非線性物理學
  • 數學物理學
  • 一般物理與天文學

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