44 citations · 77 across the 17 of their papers we have counts for
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math.CO2014
Extremal examples of collapsible complexes and random discrete Morse theory
Karim A. Adiprasito, Bruno Benedetti, Frank H. Lutz
We present extremal constructions connected with the property of simplicial collapsibility. (1) For each , there are collapsible (and shellable) simplicial -complexes w…
math.MG2014★ 1 cited
Linear embeddings of contractible and collapsible complexes
Karim A. Adiprasito, Bruno Benedetti
(1) We show that if a presentation of the trivial group is "hard to trivialize", in the sense that lots of Tietze moves are necessary to transform it into the trivial presentation,…
math.AC2014★ 1 cited
On the dual graph of Cohen-Macaulay algebras
Bruno Benedetti, Matteo Varbaro
Given a projective algebraic set X, its dual graph G(X) is the graph whose vertices are the irreducible components of X and whose edges connect components that intersect in codimen…