6 citations · 9 across the 8 of their papers we have counts for
4 papers · 1 filter
How to stab a polytope
Sebastian Seemann, Francesca Zaffalon
We study the set of linear subspaces of a fixed dimension intersecting a given polytope. To describe this set as a semialgebraic subset of a Grassmannian, we introduce a Schubert a…
Combinatorics of Essential Sets for Positroids
Fatemeh Mohammadi, Francesca Zaffalon
Positroids are a family of matroids introduced by Postnikov in the study of non-negative Grassmannians. Postnikov identified several combinatorial objects in bijections with positr…
Restricted Chain-Order Polytopes via Combinatorial Mutations
Oliver Clarke, Akihiro Higashitani, Francesca Zaffalon
We study restricted chain-order polytopes associated to Young diagrams using combinatorial mutations. These polytopes are obtained by intersecting chain-order polytopes with certai…
Computing positroid cells in the Grassmannian of lines, their boundaries and their intersections
Susama Agarwala, Fatemeh Mohammadi, Francesca Zaffalon
Positroids are families of matroids introduced by Postnikov in the study of non-negative Grassmannians. In particular, positroids enumerate a CW decomposition of the totally non-ne…