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Cohen-Macaulayness of a class of graphs versus the class of their complements

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Publication:2043393
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DOI10.1016/j.disc.2021.112525zbMath1467.13010OpenAlexW3181970703MaRDI QIDQ2043393

Yanyan Li

Publication date: 2 August 2021

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.disc.2021.112525


zbMATH Keywords

well-covered graphCohen-Macaulay graphGorenstein graphvertex-decomposable 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 commutative algebra (05E40) General commutative ring theory and combinatorics (zero-divisor graphs, annihilating-ideal graphs, etc.) (13A70)


Related Items (2)

A large class of graphs with a small subclass of Cohen–Macaulay members ⋮ A class of graphs with a few well-covered members



Cites Work

  • Unnamed Item
  • Unnamed Item
  • Regular subgraphs of almost regular graphs
  • Combinatorics and commutative algebra.
  • Cohen-Macaulayness of two classes of circulant graphs
  • Distributive lattices, bipartite graphs and Alexander duality
  • Monomial Ideals
  • Monomial Algebras


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