1 citations · 1 across the 5 of their papers we have counts for
5 papers
Combinatorics of Permutreehedra and Geometry of -Permutahedra
Daniel Tamayo Jiménez
This thesis finds its place in the interplay between algebraic and geometric combinatorics. We focus on studying two different families of lattices in relation to the weak order: t…
Inversion and Cubic Vectors for Permutrees
Daniel Tamayo Jiménez
We introduce two generalizations of bracket vectors from binary trees to permutrees. These new vectors help describe algebraic and geometric properties of the rotation lattice of p…
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…
Permutree sorting
Vincent Pilaud, Viviane Pons, Daniel Tamayo Jiménez
Generalizing stack sorting and -sorting for permutations, we define the permutree sorting algorithm. Given two disjoint subsets and of , the -p…
Permutrees
Vincent Pilaud, Viviane Pons
We introduce permutrees, a unified model for permutations, binary trees, Cambrian trees and binary sequences. On the combinatorial side, we study the rotation lattices on permutree…