3 papers
math.CO2026
Generalised flip order on the faces of nestohedra
Pierre-Louis Curien, Bérénice Delcroix-Oger, Bérénice Delcroix-Oger +2
Classical shuffle products on permutations and binary planar rooted trees (i.e., on the vertices of permutohedra and associahedra) admit descriptions in terms of intervals in the w…
math.CO2026
Tridendriform algebras on hypergraph polytopes, the other way around
Pierre-Louis Curien, Bérénice Delcroix-Oger, Bérénice Delcroix-Oger +2
Hypergraph polytopes (or nestohedra) form a broad class of polytopes obtained by truncating faces of a simplex according to a hypergraph. In earlier work, the authors constructed q…
math.CT2025
Term rewriting on nestohedra
Pierre-Louis Curien, Guillaume Laplante-Anfossi
We define term rewriting systems on the vertices and faces of nestohedra, and show that the former are confluent and terminating. While the associated posets on vertices generalize…