3 papers
math.CO2016
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…
math.CO2015
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…
math.CO2015
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…