32 citations · 72 across the 18 of their papers we have counts for
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Generalised flip order on the faces of nestohedra
Pierre-Louis Curien, Bérénice Delcroix-Oger, Jovana Obradović
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…
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…
Tridendriform algebras on hypergraph polytopes
Pierre-Louis Curien, Bérénice Delcroix-Oger, Jovana Obradović
We extend the works of Loday-Ronco and Burgunder-Ronco on the tridendriform decomposition of the shuffle product on the faces of associahedra and permutohedra, to other families of…
Syntactic aspects of hypergraph polytopes
Pierre-Louis Curien, Jovana Obradovic, Jelena Ivanovic
This paper introduces an inductively defined tree notation for all the faces of polytopes arising from a simplex by truncations. This notation allows us to view inclusion of faces…
Free algebraic structures on the permutohedra
E. Burgunder, P. -L. Curien, M. Ronco
Tridendriform algebras are a type of associative algebras, introduced independently by F. Chapoton and by J.-L. Loday and the third author, in order to describe operads related to…