48 citations · 129 across the 9 of their papers we have counts for
6 papers · 1 filter
Bounds for entries of -vectors of flag homology spheres
Jean-Philippe Labbé, Eran Nevo
We present some enumerative and structural results for flag homology spheres. For a flag homology sphere , we show that its -vector satisfies: \begin…
Cluster Algebras of Type , Tropical Planes, and the Positive Tropical Grassmannian
Sarah B. Brodsky, Cesar Ceballos, Jean-Philippe Labbé
We show that the number of combinatorial types of clusters of type modulo reflection-rotation is exactly equal to the number of combinatorial types of tropical planes in $\ma…
Hirsch polytopes with exponentially long combinatorial segments
Jean-Philippe Labbé, Thibault Manneville, Francisco Santos
In their paper proving the Hirsch bound for flag normal simplicial complexes (Math. Oper.~Res.~2014) Adiprasito and Benedetti define the notion of~\emph{combinatorial segment}. The…
Fan realizations of subword complexes and multi-associahedra via Gale duality
Nantel Bergeron, Cesar Ceballos, Jean-Philippe Labbé
We present complete simplicial fan realizations of any spherical subword complex of type for . This provides complete simplicial fan realizations of simplicial multi…
Subword complexes, cluster complexes, and generalized multi-associahedra
Cesar Ceballos, Jean-Philippe Labbé, Christian Stump
In this paper, we use subword complexes to provide a uniform approach to finite type cluster complexes and multi-associahedra. We introduce, for any finite Coxeter group and any no…
Combinatorial Variations on Cantor's Diagonal
Srečko Brlek, Jean-Philippe Labbé, Michel Mendès France
We discuss counting problems linked to finite versions of Cantor's diagonal of infinite tableaux. We extend previous results of [2] by refining an equivalence relation that reduces…