118 citations · 220 across the 30 of their papers we have counts for
4 papers · 1 filter
Counting geodesics between surface triangulations
Hugo Parlier, Lionel Pournin
Given a surface equipped with a set of marked points, we consider the triangulations of with vertex set . The flip-graph of whose vertices are these triangulatio…
Strong convexity in flip-graphs
Lionel Pournin, Zili Wang
The set of triangulations of a surface with a prescribed set of vertices can be endowed with a graph structure called a flip-graph, whose edges connect t…
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…
Flip-graph moduli spaces of filling surfaces
Hugo Parlier, Lionel Pournin
This paper is about the geometry of flip-graphs associated to triangulations of surfaces. More precisely, we consider a topological surface with a privileged boundary curve and stu…