An Upper Bound for the Regularity of Symbolic Powers of Edge Ideals of Chordal Graphs
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Assume that $G$ is a chordal graph with edge ideal $I(G)$ and ordered matching number $\nu_{o}(G)$. For every integer $s\geq 1$, we denote the $s$-th symbolic power of $I(G)$ by $I(G)^{(s)}$. It is shown that ${\rm reg}(I(G)^{(s)})\leq 2s+\nu_{o}(G)-1$. As a consequence, we determine the regularity of symbolic powers of edge ideals of chordal Cameron-Walker graphs.
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2012 ◽
Vol 49
(4)
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pp. 501-508
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2019 ◽
Vol 18
(10)
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pp. 1950184
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2019 ◽
Vol 19
(10)
◽
pp. 2050184
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