The coarse geometry of hexagon decomposition graphs
arXiv:2204.00550 · doi:10.4153/S0008414X24000853
Abstract
We define and study graphs associated to hexagon decompositions of surfaces by curves and arcs. One of the variants is shown to be quasi-isometric to the pants graph, whereas the other variant is quasi-isometric to (a Cayley graph of) the mapping class group.
19 pages, 10 figures