Regularity and projective dimension of powers of edge ideal of the disjoint union of some weighted oriented gap-free bipartite graphs

DOI10.1142/S0219498820502333zbMath1446.13014arXiv1906.04682OpenAlexW2980749853WikidataQ114614510 ScholiaQ114614510MaRDI QIDQ5133884

Jiaqi Zhang, Li Xu, Hong Wang, Guangjun Zhu

Publication date: 11 November 2020

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

Full work available at URL: https://arxiv.org/abs/1906.04682

zbMATH Keywords

regularityprojective dimensionpowers of the edge idealweighted oriented gap-free bipartite graph

Mathematics Subject Classification ID

Projective and free modules and ideals in commutative rings (13C10) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Directed graphs (digraphs), tournaments (05C20) Signed and weighted graphs (05C22) Combinatorial aspects of commutative algebra (05E40)

Related Items (5)

Regularity of powers of edge ideals of Cohen-Macaulay weighted oriented forests ⋮ Powers of edge ideals of weighted oriented graphs with linear resolutions ⋮ Regularity of powers of (parity) binomial edge ideals ⋮ Projective dimension and regularity of powers of edge ideals of vertex-weighted rooted forests ⋮ Algebraic properties of edge ideals of some vertex-weighted oriented \(m\)-partite graphs

Uses Software

• CoCoA

Cites Work

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