Cohen-Macaulay bipartite graphs

DOI10.1007/s000130050040zbMath0869.13003OpenAlexW2044410460MaRDI QIDQ1359083

O. Diekmann

Publication date: 1 September 1997

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s000130050040

zbMATH Keywords

Cohen-Macaulay ringsshellable complexesCohen-Macaulay bipartite graphStanley-Reisner simplicial complex

Mathematics Subject Classification ID

Applications of graph theory (05C90) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) (Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.) (13D03) Cohen-Macaulay modules (13C14) Abstract complexes in algebraic topology (55U05)

Related Items (18)

Bi-sequentially Cohen–Macaulay bipartite graphs ⋮ On well-covered, vertex decomposable and Cohen-Macaulay graphs ⋮ Unnamed Item ⋮ Stanley-Reisner Rings ⋮ Unnamed Item ⋮ Pure vertex decomposable simplicial complex associated to graphs whose 5-cycles are chorded ⋮ \(W_2\)-graphs and shedding vertices ⋮ Vertex decomposability and regularity of very well-covered graphs ⋮ Unnamed Item ⋮ Cohen-Macaulay edge ideal whose height is half of the number of vertices ⋮ Simplicial complexes satisfying Serre's condition: a survey with some new results ⋮ Shellable graphs and sequentially Cohen-Macaulay bipartite graphs ⋮ Cohen-Macaulay, shellable and unmixed clutters with a perfect matching of König type ⋮ Independence Complexes of Well-Covered Circulant Graphs ⋮ Cohen-Macaulayness of bipartite graphs, revisited ⋮ 1-well-covered graphs revisited ⋮ Sequentially Cohen-Macaulay bipartite graphs: Vertex decomposability and regularity ⋮ Cohen-Macaulay growing graphs

Cites Work

• Cohen-Macaulay quotients of polynomial rings
• On the ideal theory of graphs
• Cohen-Macaulay graphs
• Stanley-reisner rings with pure resolutions
• The Two-Triangle Case of the Acquaintance Graph
• Combinatorics and commutative algebra
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• Unnamed Item

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