19 citations · 54 across the 9 of their papers we have counts for
3 papers · 1 filter
Betti numbers of symmetric shifted ideals
Jennifer Biermann, Hernán De Alba, Federico Galetto +5
We introduce a new class of monomial ideals which we call symmetric shifted ideals. Symmetric shifted ideals are fixed by the natural action of the symmetric group and, within the…
A Kruskal-Katona type result and applications
Dinh Van Le, Tim Römer
Inspired by the Kruskal-Katona theorem a minimization problem is studied, where the role of the shadow is replaced by the image of the action of the monoid of increasing functions.…
Cut Polytopes of Minor-free Graphs
Markus Chimani, Martina Juhnke-Kubitzke, Alexander Nover +1
The cut polytope of a graph is the convex hull of the indicator vectors of all cuts in and is closely related to the MaxCut problem. We give the facet-description of cut po…