Thanh Vu

activity

20232026

collaborators

Showing 2026 · math.ACShow all

6 papers · 2 filters

math.AC2026

Associated primes and v-numbers of integral closures of powers of edge ideals

Trung Chau, Tai Huy Ha, Thanh Vu

Let $I = I (G)$ be the edge ideal of a finite simple graph $G$ . We investigate the relationship between the associated primes and $v$ -numbers of powers $I^{t}$ and their integral clos…

math.AC2026

Comparing v-numbers of symbolic and ordinary powers of squarefree monomial ideals

Trung Chau, Tài Huy Hà, A. V. Jayanthan +1

Let $I$ be a squarefree monomial ideal, and let $d$ denote the maximum degree of a minimal generator of $I$ . We prove that \[ v(I^t)\le v(I^{(t)})+(t-1)(d-1) \] for all $t \geq 1$ , wh…

math.AC2026

V-numbers of powers of cover ideals of unimodular hypergraphs

Nguyen Thu Hang, Thanh Vu

Let $H$ be a unimodular hypergraph with cover ideal $J (H)$ . We prove that the local $v$ -numbers of $J (H)^{t}$ are linear in $t$ for all $t \geq 1$ . We further show that the global $v$ -n…

math.AC2026

Ordered alternating paths and the depth of symbolic powers of cover ideals of graphs

Nguyen Thu Hang, Nguyen Thi Thanh Tam, Thanh Vu

Let $G$ be a simple graph with cover ideal $J (G)$ in a polynomial ring $S$ in $∣ V (G) ∣$ variables. For a matching $M$ of $G$ , we denote by $ℓ (M)$ the length of the longest $M$ -al…

math.AC2026

Admissible subgraphs and the depth of symbolic powers of cover ideals of graphs

Tran Duc Dung, Nguyen Thu Hang, Thanh Vu

Let $G$ be a simple graph. We introduce the notion of $t$ -admissible subgraphs of $G$ and show how to use them to compute the depth of the $t$ -th symbolic powers of the cover ideal…

math.AC2026

Depth of powers of the edge ideal of an increasing weighted path

Jiaxin Li, Dancheng Lu, Thanh Vu +1

We provide exact formulas for the depth of the quotient ring of powers of the edge ideal of an increasing weighted path.