7 citations · 15 across the 5 of their papers we have counts for
4 papers · 1 filter
Geometric realizations of the -weak order and its lattice quotients
Eva Philippe, Vincent Pilaud
For an -tuple of non-negative integers, the -weak order is a lattice structure on -trees, generalizing the weak order on permutations. We first describe the join irred…
Realizing the -permutahedron via flow polytopes
Rafael S. González D'León, Alejandro H. Morales, Eva Philippe +2
Ceballos and Pons introduced the -weak order on -decreasing trees, for any weak composition . They proved that it has a lattice structure and further conjectured that it c…
Many regular triangulations and many polytopes
Arnau Padrol, Eva Philippe, Francisco Santos
We show that for fixed and growing to infinity there are at least different labeled combinatorial types of -polytopes with vertices. This is…
Sweeps, polytopes, oriented matroids, and allowable graphs of permutations
Arnau Padrol, Eva Philippe
A sweep of a point configuration is any ordered partition induced by a linear functional. Posets of sweeps of planar point configurations were formalized and abstracted by Goodman…