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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
Regularity of Powers and symbolic powers of edge ideals of cubic circulant graphs
Nguyen Thu Hang, My Hanh Pham, Thanh Vu
We compute the regularity of powers and symbolic powers of edge ideals of all cubic circulant graphs. In particular, we establish Conjecture of Minh for cubic circulant graphs.