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- W3092967666 abstract "For any graph $G$, assume that $J(G)$ is the cover ideal of $G$. Let $J(G)^{(k)}$ denote the $k$th symbolic power of $J(G)$. We characterize all graphs $G$ with the property that $J(G)^{(k)}$ has a linear resolution for some (equivalently, for all) integer $kgeq 2$. Moreover, it is shown that for any graph $G$, the sequence $big({rm reg}(J(G)^{(k)})big)_{k=1}^{infty}$ is nondecreasing. Furthermore, we compute the largest degree of minimal generators of $J(G)^{(k)}$ when $G$ is either an unmixed of a claw-free graph." @default.
- W3092967666 created "2020-10-22" @default.
- W3092967666 creator A5004484087 @default.
- W3092967666 date "2020-10-17" @default.
- W3092967666 modified "2023-09-27" @default.
- W3092967666 title "On the minimal free resolution of symbolic powers of cover ideals of graphs" @default.
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