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math.AC2025
Regularity of edge ideals of powers of graphs
My Hanh Pham, Thanh Vu
We prove that the regularity of edge ideals of powers of forests is weakly decreasing. We then compute the regularity of edge ideals of powers of cycles.
math.AC2024
Unmixed and sequentially Cohen-Macaulay skew tableau ideals
Do Trong Hoang, Thanh Vu
We associate a {\it skew tableau ideal} to each filling of a skew Ferrers diagram with positive integers. We classify all unmixed and sequentially Cohen-Macaulay skew tableau ideal…
math.AC2024
Regularity of normal Rees algebras of edge ideals of graphs
Cao Huy Linh, Quang Hoa Tran, Thanh Vu
We classify all graphs for which the Rees algebras of their edge ideals are normal and have regularity equal to their matching numbers.