60 citations · 768 across the 56 of their papers we have counts for
3 papers · 1 filter
On the number of simple arrangements of five double pseudolines
Julien Ferté, Vincent Pilaud, Michel Pocchiola
We describe an incremental algorithm to enumerate the isomorphism classes of double pseudoline arrangements. The correction of our algorithm is based on the connectedness under mut…
Polytopality and Cartesian products of graphs
Julian Pfeifle, Vincent Pilaud, Francisco Santos
We study the question of polytopality of graphs: when is a given graph the graph of a polytope? We first review the known necessary conditions for a graph to be polytopal, and we p…
Multitriangulations, pseudotriangulations and primitive sorting networks
Vincent Pilaud, Michel Pocchiola
We study the set of all pseudoline arrangements with contact points which cover a given support. We define a natural notion of flip between these arrangements and study the graph o…