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math.AC2022
Polarizations of Artin monomial ideals
Gunnar Fløystad, Ine Gabrielsen, Amir Mafi
We show that any polarization of an Artin monomial ideal defines a triangulated ball. This proves a conjecture of A.Almousa, H.Lohne and the first author. Geometrically, polarizati…
math.RA2022
Eight times four bialgebras of hypergraphs, cointeractions, and chromatic polynomials
Kurusch Ebrahimi-Fard, Gunnar Fløystad
We consider the bialgebra of hypergraphs, a generalization of Schmitt's Hopf algebra of graphs, and show it has a cointeracting bialgebra. So one has a double bialgebra in the sens…
math.CO2022
Partitons of vertices and facets in trees and stacked simplicial complexes
Gunnar Fløystad
For stacked simplicial complexes, (special subclasses of such are: trees, triangulations of polygons, stacked polytopes), we give an explicit bijection between partitions of facets…