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

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 01 Sep 2015Embargo end date: 01 Jan 2014Publisher:Rocky Mountain Mathematics ConsortiumJournal:Journal of Commutative Algebra, volume 7 (issn: 1939-2346,

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Authors: Shen, Yi-Huang;

doi: 10.1216/jca-2015-7-3-423 , 10.48550/arxiv.1401.1057

arXiv: 1401.1057

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

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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

Keywords

Hypergraphs, Mathematics - Commutative Algebra, Commutative Algebra (math.AC), squarefree monomial ideal, Stanley depth, Stanley regularity, Squarefree monomial ideal, FOS: Mathematics, 05E40, Mathematics - Combinatorics, Combinatorics (math.CO), Combinatorial aspects of commutative algebra, clutter, 05C65, 05C65, 05E40

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