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math.CO2026
Generalised flip order on the faces of nestohedra
Pierre-Louis Curien, Bérénice Delcroix-Oger, Jovana Obradović
Tamari lattices and weak Bruhat order are classical posets on the vertices of associahedra and permutohedra. These posets are particular instances of the \emph{flip order} on the v…
math.CO2026
Tridendriform algebras on hypergraph polytopes, the other way around
Pierre-Louis Curien, Bérénice Delcroix-Oger, Jovana Obradović
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…