English

A coarse-geometry characterization of cacti

Metric Geometry 2023-05-16 v1 Combinatorics

Abstract

We give a quasi-isometric characterization of cacti, which is similar to Manning's characterization of quasi-trees by the bottleneck property. We also give another quasi-isometric characterization of cacti using fat theta curves.

Cite

@article{arxiv.2305.08512,
  title  = {A coarse-geometry characterization of cacti},
  author = {Koji Fujiwara and Panos Papasoglu},
  journal= {arXiv preprint arXiv:2305.08512},
  year   = {2023}
}
R2 v1 2026-06-28T10:34:32.653Z