Thanh Vu

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math.AC2026

V-numbers of symbolic powers of cover ideals of graphs

Thanh Vu

Let $G$ be a simple graph with cover ideal $J (G)$ in a polynomial ring $S$ with $∣ V (G) ∣$ variables. We prove that the local $v$ -number of the symbolic powers $J (G)^{(t)}$ is linear…

math.AC2026

Projective dimension of powers of cover ideal of Ferrers graphs

Do Trong Hoang, Thanh Vu

Let $I^» = (I^»_{1}, \dots, I^»_{n})$ be a partition with $I^»_{1} = m$ . Denote by $J_{I^} »$ the cover ideal in the polynomial ring $ S = k[x_1, \ldots, x_n, y_1, \ldots, y_m] $ associated to…

math.AC2026

Critical subgraphs and the regularity of symbolic powers of cover ideals of graphs

Nguyen Thu Hang, Thanh Vu

Let $G$ be a simple graph. We demonstrate a method for using $t$ -admissible subgraphs of $G$ to determine the regularity of the $t$ -th symbolic power of the cover ideal of $G$ . As…

math.AC2026

Associated primes of powers of closed neighborhood ideals and diameters of graphs

Ha Thi Thu Hien, Thanh Vu

Let $G$ be a simple connected graph and $t \geq 2$ an integer. We prove that if the maximal homogeneous ideal is an associated prime of the $t$ th power of the closed neighborhood id…