Regularity of symbolic powers of edge ideals of unicyclic graphs

摘要

Let G be a unicyclic graph with edge ideal I(G). For any integer s >= 1, we denote the s-th symbolic power of I(G) by I(G)((s)). It is shown that reg(I(G)((s))) = reg(I(G)(s)), for every s >= 1. (C) 2019 Elsevier Inc. All rights reserved.