Geometry of non-transitive graphs
arXiv:2008.08638 · doi:10.2140/pjm.2022.317.423
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 .
13 pages, 7 figures