Cohen-Macaulayness of saturation of the second power of edge ideals

DOI10.1007/s10013-015-0180-9zbMath1354.05148OpenAlexW2286090927MaRDI QIDQ505849

Dô Trong Hoang

Publication date: 26 January 2017

Published in: Vietnam Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10013-015-0180-9

zbMATH Keywords

graphCohen-Macaulaynesssaturationedge idealGorenstein graph

Mathematics Subject Classification ID

Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Structure, classification theorems for modules and ideals in commutative rings (13C05) Cohen-Macaulay modules (13C14) Combinatorial aspects of simplicial complexes (05E45) Combinatorial aspects of commutative algebra (05E40)

Related Items (2)

Buchsbaumness of the second powers of edge ideals ⋮ The \(v\)-number of edge ideals

Cites Work

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• A characterization of well covered graphs of girth 5 or greater
• Cohen-Macaulay quotients of polynomial rings
• Combinatorics and commutative algebra.
• Locally complete intersection Stanley-Reisner ideals
• Cohen-Macaulayness for symbolic power ideals of edge ideals
• On the radical of a monomial ideal
• On some subclasses of well-covered graphs
• Some covering concepts in graphs

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