Bounds on the Stanley depth and Stanley regularity of edge ideals of clutters

Abstract

Let $I$ be the edge ideal of a clutter $\mathcal{C}$ in a polynomial ring $S$. In this paper, we present estimations of the Stanley depth of $I$ as well as the Stanley regularity of $S/I$, in terms of combinatorial data from the clutter $\mathcal{C}$.

12 pages. Comments are welcome

References in corpus (4)

• Special Stanley Decompositions
• Regularity of edge ideal of a graph
• Bounding the Projective Dimension of a Square-Free Monomial Ideal via Domination in Clutters
• Hypergraphs and the Regularity of Square-free Monomial Ideals