Geometry of non-transitive graphs
Group Theory
2022-07-20 v2 Metric Geometry
Abstract
In this note, we study non-transitive graphs and prove a number of results when they satisfy a coarse version of transitivity. Also, for each finitely generated group , we produce continuum many pairwise non-quasi-isometric regular graphs that have the same growth rate, number of ends, and asymptotic dimension as .
Cite
@article{arxiv.2008.08638,
title = {Geometry of non-transitive graphs},
author = {Josiah Oh and Mark Pengitore},
journal= {arXiv preprint arXiv:2008.08638},
year = {2022}
}
Comments
13 pages, 7 figures