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math.CO2022
Edge connectivity of simplicial polytopes
Vincent Pilaud, Guillermo Pineda-Villavicencio, Julien Ugon
We show that the graph of a simplicial polytope of dimension has no nontrivial minimum edge cut with fewer than edges, hence the graph is …
math.CO2022
Pebble trees
Vincent Pilaud
A pebble tree is an ordered tree where each node receives some colored pebbles, in such a way that each unary node receives at least one pebble, and each subtree has either one mor…
math.CO2022★ 4 cited
Shuffles of deformed permutahedra, multiplihedra, constrainahedra, and biassociahedra
Frédéric Chapoton, Vincent Pilaud
We introduce the shuffle of deformed permutahedra (a.k.a. generalized permutahedra), a simple associative operation obtained as the Cartesian product followed by the Minkowski sum…