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• #### Matchings and Squarefree Powers of Edge Ideals ﻿

[OWP-2019-25] (Mathematisches Forschungsinstitut Oberwolfach, 2019-11-11)
Squarefree powers of edge ideals are intimately related to matchings of the underlying graph. In this paper we give bounds for the regularity of squarefree powers of edge ideals, and we consider the question of when such ...
• #### On the Gauss Algebra of Toric Algebras ﻿

[OWP-2018-07] (Mathematisches Forschungsinstitut Oberwolfach, 2018-04-25)
Let $A$ be a $K$-subalgebra of the polynomial ring $S=K[x_1,\ldots,x_d]$ of dimension $d$, generated by finitely many monomials of degree $r$. Then the Gauss algebra $\mathbb{G}(A)$ of $A$ is generated by monomials of ...