English

Horofunctions on Sierpi\'nski type triangles

Combinatorics 2017-07-20 v1

Abstract

We study an infinite set of graphs which are recursively constructed from an infinite word in a finite alphabet. These graphs are inspired by the construction of the Sierpi\'nski gasket. We show that there are infinitely many non-isomorphic such graphs and we describe the horofunctions on the standard case.

Cite

@article{arxiv.1707.06030,
  title  = {Horofunctions on Sierpi\'nski type triangles},
  author = {Daniele D'Angeli},
  journal= {arXiv preprint arXiv:1707.06030},
  year   = {2017}
}

Comments

to appear in Utilitas Mathematica

R2 v1 2026-06-22T20:51:31.129Z