EDGE IDEALS OF WEIGHTED GRAPHS

DOI10.1142/S0219498812502234zbMath1266.05048arXiv1205.3678OpenAlexW2147593687MaRDI QIDQ4923195

Chelsey Paulsen, Sean K. Sather-Wagstaff

Publication date: 5 June 2013

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

Full work available at URL: https://arxiv.org/abs/1205.3678

zbMATH Keywords

weighted graphsCohen-MacaulayunmixedEdge ideals

Mathematics Subject Classification ID

Trees (05C05) Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Paths and cycles (05C38) Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Structure, classification theorems for modules and ideals in commutative rings (13C05) Vertex subsets with special properties (dominating sets, independent sets, cliques, etc.) (05C69) Signed and weighted graphs (05C22) Combinatorial aspects of commutative algebra (05E40)

Related Items (10)

Closed neighborhood ideals of finite simple graphs ⋮ A glimpse to most of the old and new results on very well-covered graphs from the viewpoint of commutative algebra ⋮ Symbolic Powers of Monomial Ideals and Cohen-Macaulay Vertex-Weighted Digraphs ⋮ Edge ideals of oriented graphs ⋮ 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 ⋮ Cohen-Macaulay edge-weighted edge ideals of very well-covered graphs ⋮ Path ideals of weighted graphs

Cites Work

• Cohen-Macaulay graphs
• Whiskers and sequentially Cohen-Macaulay graphs
• Sequentially Cohen-Macaulay edge ideals

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