A New Construction for Cohen–Macaulay Graphs

DOI10.1080/00927872.2014.955576zbMath1365.13037arXiv1310.2872OpenAlexW2099445548MaRDI QIDQ3448561

Siamak Yassemi, Amir Mousivand, Seyed Amin Seyed Fakhari

Publication date: 26 October 2015

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1310.2872

zbMATH Keywords

chordal graphedge idealunmixed graphvertex decomposable graphsequentially Cohen-Macaulay graph

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Combinatorial aspects of simplicial complexes (05E45) Combinatorial aspects of commutative algebra (05E40)

Related Items (4)

Unnamed Item ⋮ Boolean graphs are Cohen–Macaulay ⋮ Symbolic powers of vertex cover ideals ⋮ Upper bounds for the regularity of symbolic powers of certain classes of edge ideals

Cites Work

• Unnamed Item
• Algebraic study on Cameron-Walker graphs
• On rigid circuit graphs
• Shellable graphs and sequentially Cohen-Macaulay bipartite graphs
• Regularity, depth and arithmetic rank of bipartite edge ideals
• Sequentially Cohen-Macaulay bipartite graphs: Vertex decomposability and regularity
• Cohen-Macaulay graphs
• Cohen–Macaulay Graphs and Face Vectors of Flag Complexes
• Vertex decomposable graphs and obstructions to shellability
• Sequentially Cohen-Macaulay edge ideals
• Decompositions of Simplicial Complexes Related to Diameters of Convex Polyhedra
• Shellable Nonpure Complexes and Posets. I

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