Some Cohen–Macaulay graphs arising from finite commutative rings

DOI10.1142/s0219498823501293zbMath1518.13020OpenAlexW4220886858MaRDI QIDQ6104118

M. R. Pournaki, Unnamed Author, T. Asir

Publication date: 28 June 2023

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498823501293

zbMATH Keywords

edge idealtotal graphwell-covered graphs

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)

Cites Work

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• The total graph of a commutative ring
• Combinatorics and commutative algebra.
• A class of graphs with a few well-covered members
• Cohen--Macaulay chordal graphs
• Distributive lattices, bipartite graphs and Alexander duality
• On the Total Graph and Its Complement of a Commutative Ring
• On the Genus of the Total Graph of a Commutative Ring
• Monomial Algebras

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