19 citations · 54 across the 9 of their papers we have counts for
9 papers
Componentwise linear symbolic powers of edge ideals and Minh's conjecture
Antonino Ficarra, Somayeh Moradi, Tim Römer
In this paper, we study the componentwise linearity of symbolic powers of edge ideals. We propose the conjecture that all symbolic powers of the edge ideal of a cochordal graph are…
Cycle algebras and polytopes of matroids
Tim Römer, Sara Saeedi Madani
Cycle polytopes of matroids have been introduced in combinatorial optimization as a generalization of important classes of polyhedral objects like cut polytopes and Eulerian subgra…
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…
Broken circuit complexes and hyperplane arrangements
Le Van Dinh, Tim Roemer
We study Stanley-Reisner ideals of broken circuits complexes and characterize those ones admitting a linear resolution or being complete intersections. These results will then be u…