48 citations · 129 across the 9 of their papers we have counts for
9 papers
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…
On inversion sets and the weak order in Coxeter groups
Christophe Hohlweg, Jean-Philippe Labbé
In this article, we investigate the existence of joins in the weak order of an infinite Coxeter group W. We give a geometric characterization of the existence of a join for a subse…
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…
Lorentzian Coxeter systems and Boyd-Maxwell ball packings
Hao Chen, Jean-Philippe Labbé
In the recent study of infinite root systems, fractal patterns of ball packings were observed while visualizing roots in affine space. In this paper, we show that the observed frac…
Asymptotical behaviour of roots of infinite Coxeter groups
Christophe Hohlweg, Jean-Philippe Labbé, Vivien Ripoll
Let W be an infinite Coxeter group. We initiate the study of the set E of limit points of "normalized" positive roots (representing the directions of the roots) of W. We show that…
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…