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arxiv: 1903.10962 · v1 · pith:JXGRC7GYnew · submitted 2019-03-26 · 🧮 math.AC · math.CO

Regularity of symbolic powers of edge ideals of unicyclic graphs

classification 🧮 math.AC math.CO
keywords edgesymbolicunicyclicdenoteeverygraphgraphsideal
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Let $G$ be a unicyclic graph with edge ideal $I(G)$. For any integer $s\geq 1$, we denote the $s$-th symbolic power of $I(G)$ by $I(G)^{(s)}$. It is shown that ${\rm reg}(I(G)^{(s)})={\rm reg}(I(G)^s)$, for every $s\geq 1$.

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