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- W4287777480 abstract "Let $S=mathbb{K}[x_1,dots, x_n]$ be a polynomial ring, where $mathbb{K}$ is a field, and $G$ be a simple graph on $n$ vertices. Let $J(G)subset S$ be the vertex cover ideal of $G$. Herzog, Hibi and Ohsugi have conjectured that all powers of vertex cover ideals of chordal graph are componentwise linear. Here we establish the conjecture for the special case of trees. We also show that if $G$ is a unicyclic vertex decomposable graph that does not contain $C_3$ or $C_5$, then symbolic powers of $J(G)$ are componentwise linear." @default.
- W4287777480 created "2022-07-26" @default.
- W4287777480 creator A5029171581 @default.
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- W4287777480 date "2020-05-18" @default.
- W4287777480 modified "2023-09-28" @default.
- W4287777480 title "Herzog, Hibi and Ohsugi conjecture for trees" @default.
- W4287777480 doi "https://doi.org/10.48550/arxiv.2005.08576" @default.
- W4287777480 hasPublicationYear "2020" @default.
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