108 citations
- University of PaduaIT6 papers
- Istituto Nazionale di Fisica Nucleare, Galileo Galilei Institute for Theoretical PhysicsIT4 papers
- Sapienza University of RomeIT4 papers
- Centre National de la Recherche ScientifiqueFR3 papers
- Osservatorio Astronomico di PadovaIT3 papers
- University of FlorenceIT3 papers
- Astronomical Institute of the Slovak Academy of SciencesSK2 papers
- Australian National UniversityAU2 papers
- École PolytechniqueFR2 papers
- IMT School for Advanced Studies LuccaIT2 papers
- Aix-Marseille UniversitéFR1 paper
- Astrobiology CenterJP1 paper
4 papers · 1 filter
Between weak and Bruhat: the middle order on permutations
Mathilde Bouvel, Luca Ferrari, Bridget Eileen Tenner
We define a partial order on permutations of any given size , which is the image of a natural partial order on inversion sequences. We call this the ``middle ord…
The interval posets of permutations seen from the decomposition tree perspective
Mathilde Bouvel, Lapo Cioni, Benjamin Izart
The interval poset of a permutation is the set of intervals of a permutation, ordered with respect to inclusion. It has been introduced and studied recently in [B. Tenner, arXiv:20…
Subgeometries and linear sets on a projective line
Michel Lavrauw, Corrado Zanella
We define the splash of a subgeometry on a projective line, extending the definition of \cite{BaJa13} to general dimension and prove that a splash is always a linear set. We also p…
Some statistics on permutations avoiding generalized patterns
A. Bernini, m. Bouvel, L. Ferrari
In the last decade a huge amount of articles has been published studying pattern avoidance on permutations. From the point of view of enumeration, typically one tries to count perm…