ARITHMETICAL RANK OF THE CYCLIC AND BICYCLIC GRAPHS

DOI10.1142/S0219498811005634zbMath1242.13004arXiv0805.1657MaRDI QIDQ2885400

Fatemeh Mohammadi, Siamak Yassemi, Margherita Barile, Dariush Kiani

Publication date: 23 May 2012

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

Full work available at URL: https://arxiv.org/abs/0805.1657

zbMATH Keywords

projective dimensionedge idealsarithmetical rankset-theoretic complete intersection ideals

Mathematics Subject Classification ID

Paths and cycles (05C38) Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Syzygies, resolutions, complexes and commutative rings (13D02) Ideals and multiplicative ideal theory in commutative rings (13A15)

Related Items (11)

New Classes of Set-theoretic Complete Intersection Monomial Ideals ⋮ Regularity of powers of edge ideals of some graphs ⋮ A glimpse to most of the old and new results on very well-covered graphs from the viewpoint of commutative algebra ⋮ On the dimension of dual modules of local cohomology and the Serre's condition for the unmixed Stanley-Reisner ideals of small height ⋮ Arithmetical rank of Gorenstein squarefree monomial ideals of height three ⋮ Arithmetical Rank of Squarefree Monomial Ideals Generated by Five Elements or with Arithmetic Degree Four ⋮ Cohen Macaulayness and arithmetical rank of generalized theta graphs ⋮ The arithmetical rank of the edge ideals of graphs with whiskers ⋮ Arithmetical rank of a squarefree monomial ideal whose Alexander dual is of deviation two ⋮ The arithmetical rank of the edge ideals of graphs with pairwise disjoint cycles ⋮ Binomial arithmetical rank of edge ideals of forests

Cites Work

• Unnamed Item
• Splittable ideals and the resolutions of monomial ideals
• A generalization of a lemma by Schmitt and Vogel
• On the arithmetical rank of monomial ideals
• Note on set-theoretic intersections of subvarieties of projective space
• On the ideal theory of graphs
• Characteristic-independence of Betti numbers of graph ideals
• Cohomological dimension of algebraic varieties
• Monomial and toric ideals associated to Ferrers graphs
• On Ideals Generated by Monomials and One Binomial

This page was built for publication: ARITHMETICAL RANK OF THE CYCLIC AND BICYCLIC GRAPHS