60 citations · 768 across the 56 of their papers we have counts for
5 papers · 1 filter
Cambrian Hopf Algebras
Grégory Chatel, Vincent Pilaud
Cambrian trees are oriented and labeled trees which fulfill local conditions around each node generalizing the conditions for classical binary search trees. Based on the bijective…
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…
Which nestohedra are removahedra?
Vincent Pilaud
A removahedron is a polytope obtained by deleting inequalities from the facet description of the classical permutahedron. Relevant examples range from the associahedra to the permu…
The diameter of type D associahedra and the non-leaving-face property
Cesar Ceballos, Vincent Pilaud
Generalized associahedra were introduced by S. Fomin and A. Zelevinsky in connection to finite type cluster algebras. Following recent work of L. Pournin in types and , this…
Quasi-configurations: building blocks for point-line configurations
Jürgen Bokowski, Vincent Pilaud
We study point-line incidence structures and their properties in the projective plane. Our motivation is the problem of the existence of configurations, still open for few…