Cohen-Macaulay property of binomial edge ideals with girth of graphs
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Publication:6597509
DOI10.1016/J.JALGEBRA.2024.05.056MaRDI QIDQ6597509
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Publication date: 3 September 2024
Published in: Journal of Algebra (Search for Journal in Brave)
Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Cohen-Macaulay modules (13C14) Combinatorial aspects of commutative algebra (05E40) Commutative rings defined by binomial ideals, toric rings, etc. (13F65)
Cites Work
- Title not available (Why is that?)
- Bounds on the regularity and projective dimension of ideals associated to graphs
- Square-free Gröbner degenerations
- Girth in graphs
- Binomial edge ideals and conditional independence statements
- Binomial edge ideals of bipartite graphs
- Cartwright-Sturmfels ideals associated to graphs and linear spaces
- Cohen-Macaulay binomial edge ideals and accessible graphs
- Local cohomology of binomial edge ideals and their generic initial ideals
- Regularity of binomial edge ideals of certain block graphs
- Depth and regularity modulo a principal ideal
- Graphs and Ideals Generated by Some 2-Minors
- Cohen-Macaulay binomial edge ideals
- Some Cohen–Macaulay and Unmixed Binomial Edge Ideals
- The Hilbert Scheme of the Diagonal in a Product of Projective Spaces
- Universal Gröbner Bases and Cartwright–Sturmfels Ideals
- Cohen–Macaulay binomial edge ideals of cactus graphs
- Construction of Cohen–Macaulay Binomial Edge Ideals
- Cohen-Macaulay binomial edge ideals of small deviation
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