English

Lucas sequences in t-uniform simplicial complexes

Group Theory 2019-09-11 v3 Combinatorics

Abstract

We introduce t-uniform simplicial complexes and we show that the lengths of spheres in such complexes are the terms of certain Lucas sequences. We find optimal constants for the linear isoperimetric inequality in the hyperbolic case.

Keywords

Cite

@article{arxiv.1904.06555,
  title  = {Lucas sequences in t-uniform simplicial complexes},
  author = {Ioana-Claudia Lazăr},
  journal= {arXiv preprint arXiv:1904.06555},
  year   = {2019}
}

Comments

17 pages, 6 figures, 7 tables

R2 v1 2026-06-23T08:38:41.884Z