Regularity of powers of edge ideals of Cohen–Macaulay weighted oriented forests.

In this paper, we explicitly give combinatorial formulas for the regularity of 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 is a piecewise linear function of k, for k ≥ 1 . [ABSTRACT FROM AUTHOR]