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Regularity of powers of edge ideal of whiskered cycles

Published 22 May 2015 in math.AC and math.CO | (1505.06096v1)

Abstract: Let $G=W(C_{n})$ be a whiskered cycle graph with edge ideal $I=I(G)$. We prove that for every $s\geq 1$, the equality ${\rm reg}(I{s})=2s+\lceil \frac{n-1}{2}\rceil-1$ holds.

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