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A remark on sequentially Cohen-Macaulay monomial ideals

Let $R=K[x_1,\ldots,x_n]$ be the polynomial ring in $n$ variables over a field $K$. We show that if $G$ is a connected graph with a basic $5$-cycle $C$, then $G$ is a sequentially Cohen-Macaulay graph if and only if there exists a shedding vertex $x$ of $C$ such that $G\setminus x$ and $G\setminus N...

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Detalles Bibliográficos
Principais autores: Mozhgan Koolani, Amir Mafi
Formato: Artigo
Idioma:Inglês
Publicado: University of Isfahan 2024-06-01
Series:Transactions on Combinatorics
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Acceso en liña:https://toc.ui.ac.ir/article_28426_76e48baaac1fa457f1a8c4283d06c937.pdf
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