Thanh Vu

most citedComparision between regularity of small symbolic powers and ordinary powers of an edge ideal

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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.

math.AC2024

Betti numbers of powers of path ideals of cycles

Silviu Balanescu, Mircea Cimpoeas, Thanh Vu

Let $J_{n, m} = (x_{1} \dots x_{m}, x_{2} \dots x_{m + 1}, \dots, x_{n} x_{1} \dots x_{m - 1})$ be the $m$ -path ideal of a cycle of length $n \geq 5$ over a polynomial ring $S = k[x_1,\ldots,x_n…

math.AC2021★ 1 cited

Comparision between regularity of small symbolic powers and ordinary powers of an edge ideal

Nguyen Cong Minh, Le Dinh Nam, Thieu Dinh Phong +2

Let $G$ be a simple graph and $I$ its edge ideal. We prove that $reg (I^{(s)}) = reg (I^{s})$ for $s = 2, 3$ , where $I^{(s)}$ is the $s$ -th symbolic power of $I$ . As a con…