Thibault Manneville

activity

20152017

collaborators

4 papers

math.CO2017

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…

math.CO2017

Geometric realizations of the accordion complex of a dissection

Thibault Manneville, Vincent Pilaud

Consider $2 n$ points on the unit circle and a reference dissection $D_{\circ}$ of the convex hull of the odd points. The accordion complex of $D_{\circ}$ is the simpl…

math.CO2016

Fan realizations for some 2-associahedra

Thibault Manneville

A~ $k$ -associahedron is a simplicial complex whose facets, called~ $k$ -triangulations, are the inclusion maximal sets of diagonals of a convex polygon where no~ $k + 1$ diagonals mutual…

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…