Cohen–Macaulay graphs with large girth
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Publication:5255732
DOI10.1142/S0219498815501121zbMath1326.13010arXiv1204.5561MaRDI QIDQ5255732
Do Trong Hoang, Tran Nam Trung, Nguyên Công Minh
Publication date: 19 June 2015
Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1204.5561
Applications of graph theory (05C90) Syzygies, resolutions, complexes and commutative rings (13D02) Combinatorial aspects of commutative algebra (05E40)
Related Items (17)
On well-covered, vertex decomposable and Cohen-Macaulay graphs ⋮ The size of Betti tables of edge ideals of clique corona graphs ⋮ Buchsbaumness of the second powers of edge ideals ⋮ Pure vertex decomposable simplicial complex associated to graphs whose 5-cycles are chorded ⋮ On Gorenstein circulant graphs ⋮ \(W_2\)-graphs and shedding vertices ⋮ Line graphs with a Cohen-Macaulay or Gorenstein clique complex ⋮ Improved bounds for the regularity of powers of edge ideals of graphs ⋮ Unnamed Item ⋮ Trung's construction and the Charney-Davis conjecture ⋮ Prime graphs, matchings and the Castelnuovo-Mumford regularity ⋮ On Gorenstein graphs ⋮ Improved bounds for the regularity of edge ideals of graphs ⋮ On vertex decomposable and Cohen-Macaulay regular graphs ⋮ Shedding vertices of vertex decomposable well-covered graphs ⋮ 1-well-covered graphs revisited ⋮ A characterization of triangle-free Gorenstein graphs and Cohen-Macaulayness of second powers of edge ideals
Cites Work
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- WELL-COVERED GRAPHS: A SURVEY
- A characterization of well‐covered graphs that contain neither 4‐ nor 5‐cycles
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- Shellable nonpure complexes and posets. II
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