Projective dimension and regularity of edge ideals of some weighted oriented graphs

DOI10.1216/RMJ-2019-49-4-1391zbMath1472.13038arXiv1802.06316OpenAlexW2970445512MaRDI QIDQ2323934

Zhongming Tang, Hong Wang, Li Xu, Guangjun Zhu

Publication date: 13 September 2019

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1802.06316

zbMATH Keywords

regularityprojective dimensionedge idealweighted oriented cycleweighted rooted forest

Mathematics Subject Classification ID

Projective and free modules and ideals in commutative rings (13C10) Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Syzygies, resolutions, complexes and commutative rings (13D02) Directed graphs (digraphs), tournaments (05C20) Signed and weighted graphs (05C22) Combinatorial aspects of commutative algebra (05E40)

Related Items (10)

Regularity of powers of edge ideals of Cohen-Macaulay weighted oriented forests ⋮ Powers of edge ideals of weighted oriented graphs with linear resolutions ⋮ Regularity and projective dimension of powers of edge ideal of the disjoint union of some weighted oriented gap-free bipartite graphs ⋮ Betti numbers of weighted oriented 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 ⋮ Symbolic powers in weighted oriented graphs ⋮ Unmixedness of some weighted oriented graphs ⋮ Algebraic invariants of weighted oriented graphs

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