The arithmetical rank of the edge ideals of graphs with pairwise disjoint cycles

DOI10.1142/S0219498816501206zbMath1350.13004arXiv1511.07310OpenAlexW2963440785MaRDI QIDQ2816882

Antonio Macchia, Margherita Barile

Publication date: 26 August 2016

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.07310

zbMATH Keywords

cyclesedge idealsarithmetical rank

Mathematics Subject Classification ID

Paths and cycles (05C38) Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Ideals and multiplicative ideal theory in commutative rings (13A15)

Related Items

A glimpse to most of the old and new results on very well-covered graphs from the viewpoint of commutative algebra

Uses Software

• CoCoA
• Macaulay2

Cites Work

• Progress in commutative algebra 1. Combinatorics and homology
• The arithmetical rank of the edge ideals of graphs with whiskers
• A Note on Cohen–Macaulay Graphs
• On the Arithmetical Rank of the Edge Ideals of Some Graphs
• ARITHMETICAL RANK OF THE CYCLIC AND BICYCLIC GRAPHS
• Arithmetical rank of lexsegment edge ideals
• Lyubeznik resolutions and the arithmetical rank of monomial ideals
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