Projective dimension and regularity of the path ideal of the line graph

DOI10.1142/S0219498818500688zbMath1394.13019arXiv1610.02958MaRDI QIDQ4638603

Guangjun Zhu

Publication date: 27 April 2018

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

Full work available at URL: https://arxiv.org/abs/1610.02958

zbMATH Keywords

projective dimensionline graphCastelnuovo-Mumford regularitypath idealsequentially Cohen-Macaulay

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) Homological methods in commutative ring theory (13D99)

Related Items

Projective dimension and regularity of path ideals of cycles ⋮ 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 ⋮ Regularity in weighted oriented graphs ⋮ Projective dimension and regularity of edge ideals of some weighted oriented graphs ⋮ The facet ideals of matching complexes of line graphs

Cites Work

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• Regularity of powers of forests and cycles
• Minimal resolutions of some monomial ideals
• Shellable graphs and sequentially Cohen-Macaulay bipartite graphs
• On some invariants of a mixed product of ideals
• \(M\)-sequences, graph ideals, and ladder ideals of linear type
• Cohen-Macaulay graphs
• The facet ideal of a simplicial complex
• Monomial ideals, edge ideals of hypergraphs, and their graded Betti numbers
• ON THE NORMALITY OF MONOMIAL IDEALS OF MIXED PRODUCTS
• Splittings of monomial ideals
• Algebraic Properties of the Path Ideal of a Tree
• Graded Betti numbers of path ideals of cycles and lines
• Shellability of simplicial complexes and simplicial complexes with the free vertex property
• Shellable Nonpure Complexes and Posets. I
• On the resolution of ideals of fat points

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