Abstract
Let P be a finite poset and suppose I is the Stanley–Reisner ideal of the chain complex of P. In this paper, we prove the inequality for every integer s where
denotes the sth symbolic power of I. As a consequence, we deduce that if I(G) is the edge ideal of a graph G such that its complementary graph Gc is bipartite, then the regularity of
is either 2s or
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