4 citations · 8 across the 12 of their papers we have counts for
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math.CO2023★ 4 cited
Coarse geometry of quasi-transitive graphs beyond planarity
Louis Esperet, Ugo Giocanti
We study geometric and topological properties of infinite graphs that are quasi-isometric to a planar graph of bounded degree. We prove that every locally finite quasi-transitive g…
math.GR2023★ 1 cited
Optimization in graphical small cancellation theory
Louis Esperet, Ugo Giocanti
Gromov (2003) constructed finitely generated groups whose Cayley graphs contain all graphs from a given infinite sequence of expander graphs of unbounded girth and bounded diameter…
math.CO2023
The structure of quasi-transitive graphs avoiding a minor with applications to the domino problem
Louis Esperet, Ugo Giocanti, Clément Legrand-Duchesne
An infinite graph is quasi-transitive if its vertex set has finitely many orbits under the action of its automorphism group. In this paper we obtain a structure theorem for locally…