22 citations · 59 across the 6 of their papers we have counts for
7 papers
The serpent nest conjecture for accordion complexes
Thibault Manneville
Consider 2n points on the unit circle and a reference dissection D of the convex hull of the odd points. The accordion complex of D is the simplicial complex of subsets of pairwise…
Geometric realizations of the accordion complex of a dissection
Thibault Manneville, Vincent Pilaud
Consider points on the unit circle and a reference dissection of the convex hull of the odd points. The accordion complex of is the simpl…
Fan realizations for some 2-associahedra
Thibault Manneville
A~-associahedron is a simplicial complex whose facets, called~-triangulations, are the inclusion maximal sets of diagonals of a convex polygon where no~ diagonals mutual…
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…
Compatibility fans for graphical nested complexes
Thibault Manneville, Vincent Pilaud
Graph associahedra are natural generalizations of the classical associahedra. They provide polytopal realizations of the nested complex of a graph , defined as the simplicial co…
Graph properties of graph associahedra
Thibault Manneville, Vincent Pilaud
A graph associahedron is a simple polytope whose face lattice encodes the nested structure of the connected subgraphs of a given graph. In this paper, we study certain graph proper…
Linear Extensions of N-free Orders
Stefan Felsner, Thibault Manneville
We consider the number of linear extensions of an N-free order P. We give upper and lower bounds on this number in terms of parameters of the corresponding arc diagram. We propose…