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math.AC2026
Regularity of symbolic powers of complementary edge ideals
Truong Thi Hien, Manohar Kumar
Let \(G\) be a finite simple graph on \(n\) vertices, and let \(I_c(G)\) be its complementary edge ideal. We determine \(\reg(I_c(G)^{(t)})\) for every \(t\geq1\) in terms of the n…
math.AC2023
Depth of powers of edge ideals of Cohen-Macaulay trees
Nguyen Thu Hang, Truong Thi Hien, Thanh Vu
Let be the edge ideal of a Cohen-Macaulay tree of dimension over a polynomial ring . We prove that for all , $$\op…