20 citations · 169 across the 52 of their papers we have counts for
4 papers · 2 filters
Arc and curve graphs for infinite-type surfaces
Javier Aramayona, Ariadna Fossas, Hugo Parlier
We study arc graphs and curve graphs for surfaces of infinite topological type. First, we define an arc graph relative to a finite number of (isolated) punctures and prove that it…
Modular flip-graphs of one holed surfaces
Hugo Parlier, Lionel Pournin
We study flip-graphs of triangulations on topological surfaces where distance is measured by counting the number of necessary flip operations between two triangulations. We focus o…
Simultaneous flips on triangulated surfaces
Valentina Disarlo, Hugo Parlier
We investigate a type of distance between triangulations on finite type surfaces where one moves between triangulations by performing simultaneous flips. We consider triangulations…
Filling sets of curves on punctured surfaces
Federica Fanoni, Hugo Parlier
We study filling sets of simple closed curves on punctured surfaces. In particular we study lower bounds on the cardinality of sets of curves that fill and that pairwise intersect…