44 citations · 77 across the 17 of their papers we have counts for
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math.CO2013
Knots in collapsible and non-collapsible balls
Bruno Benedetti, Frank H. Lutz
We construct the first explicit example of a simplicial 3-ball B_{15,66} that is not collapsible. It has only 15 vertices. We exhibit a second 3-ball B_{12,38} with 12 vertices tha…
cs.CG2013
Random Discrete Morse Theory and a New Library of Triangulations
Bruno Benedetti, Frank H. Lutz
1) We introduce random discrete Morse theory as a computational scheme to measure the complicatedness of a triangulation. The idea is to try to quantify the frequence of discrete M…
math.CO2013★ 1 cited
The Hirsch conjecture holds for normal flag complexes
Karim Alexander Adiprasito, Bruno Benedetti
Using an intuition from metric geometry, we prove that any flag and normal simplicial complex satisfies the non-revisiting path conjecture. As a consequence, the diameter of its fa…