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

2022/09/05 by Kumar, Manohar, Nanduri, Ramakrishna · 1 citation
#05E40 #05E99 #13A30 #13D02 #13D45 #Commutative Algebra (math.AC) #FOS: Mathematics

paper · doi:10.48550/arxiv.2209.01786

Abstract

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.

Cited by

• Componentwise linearity of powers of edge ideals of weighted oriented graphs

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