English

Path count asymptotics and Stirling numbers

Combinatorics 2011-02-25 v2 Dynamical Systems

Abstract

We obtain formulas for the growth rate of the numbers of certain paths in infinite graphs built on the two-dimensional Eulerian graph. Corollaries are identities relating Stirling numbers of the first and second kinds.

Keywords

Cite

@article{arxiv.0911.1970,
  title  = {Path count asymptotics and Stirling numbers},
  author = {K. Petersen and A. Varchenko},
  journal= {arXiv preprint arXiv:0911.1970},
  year   = {2011}
}

Comments

Misprint corrected. To appear in Proc. Amer. Math. Soc

R2 v1 2026-06-21T14:09:52.275Z