33 citations · 50 across the 4 of their papers we have counts for
Showing 2012Show all
2 papers · 1 filter
cs.CG2012
The monotonicity of f-vectors of random polytopes
Olivier Devillers, Marc Glisse, Xavier Goaoc +2
Let K be a compact convex body in Rd, let Kn be the convex hull of n points chosen uniformly and independently in K, and let fi(Kn) denote the number of i-dimensional faces of Kn.…
math.PR2012
Many empty triangles have a common edge
Imre Bárány, Jean-François Marckert, Matthias Reitzner
Given a finite point set in the plane, the degree of a pair is the number of empty triangles , where empty means . Defin…