Edge ideals of oriented graphs

DOI10.1142/S0218196719500139zbMath1436.13039arXiv1805.04167OpenAlexW2963590524MaRDI QIDQ5380265

Kuei-Nuan Lin, Enrique Reyes, Susan Morey, Rafael H. Villarreal, Huy Tái Hà

Publication date: 4 June 2019

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.04167

zbMATH Keywords

Cohen-Macaulayedge idealweighted digraph

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Signed and weighted graphs (05C22) Combinatorial aspects of commutative algebra (05E40)

Related Items

Equality of ordinary and symbolic powers of edge ideals of weighted oriented graphs ⋮ Toric ideals of weighted oriented graphs ⋮ A glimpse to most of the old and new results on very well-covered graphs from the viewpoint of commutative algebra ⋮ Initially regular sequences and depths of ideals ⋮ Regularity of powers of edge ideals of Cohen-Macaulay weighted oriented forests ⋮ Barile-Macchia resolutions ⋮ Powers of edge ideals of weighted oriented graphs with linear resolutions ⋮ Symbolic Powers of Monomial Ideals and Cohen-Macaulay Vertex-Weighted Digraphs ⋮ Depth and regularity of monomial ideals via polarization and combinatorial optimization ⋮ Betti numbers of weighted oriented graphs ⋮ Algebraic properties of edge ideals of some vertex-weighted oriented \(m\)-partite graphs ⋮ Regularity in weighted oriented graphs ⋮ Monomial ideals of weighted oriented graphs ⋮ Symbolic powers in weighted oriented graphs ⋮ Cohen-Macaulay edge-weighted edge ideals of very well-covered graphs ⋮ Unmixedness of some weighted oriented graphs ⋮ Algebraic invariants of weighted oriented graphs

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