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In this paper, we explicitly give combinatorial formulas for the regularityof powers of edge ideals, $\reg(I(D)^k)$, of weighted oriented unmixed forests$D$ whose leaves are sinks ($V^+(D)$ are sinks). This combinatorial formula isa piecewise linear function of $k$, for $k \geq 1$.

Regularity of powers of edge ideals of Cohen-Macaulay weighted oriented forests