Projective dimension and regularity of path ideals of cycles

DOI10.1142/S0219498818501888zbMath1407.13014arXiv1610.03306OpenAlexW2963443716MaRDI QIDQ4561479

Guangjun Zhu

Publication date: 6 December 2018

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

Full work available at URL: https://arxiv.org/abs/1610.03306

zbMATH Keywords

regularityprojective dimensioncyclesBetti numberspath ideal

Mathematics Subject Classification ID

Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Syzygies, resolutions, complexes and commutative rings (13D02) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15)

Related Items (5)

The facet ideals of chessboard complexes ⋮ Regularity and projective dimension of powers of edge ideal of the disjoint union of some weighted oriented gap-free bipartite graphs ⋮ 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 ⋮ Projective dimension and regularity of edge ideals of some weighted oriented graphs

Uses Software

• CoCoA
• Macaulay2

Cites Work

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• Path ideals of rooted trees and their graded Betti numbers
• \(M\)-sequences, graph ideals, and ladder ideals of linear type
• Cohen-Macaulay graphs
• The facet ideal of a simplicial complex
• Simplicial trees are sequentially Cohen-Macaulay
• ON THE NORMALITY OF MONOMIAL IDEALS OF MIXED PRODUCTS
• On the Resolution of Path Ideals of Cycles
• Algebraic Properties of the Path Ideal of a Tree
• Graded Betti numbers of path ideals of cycles and lines
• Projective dimension and regularity of the path ideal of the line graph
• Monomial Ideals

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