H. Tran

collaborators

Showing math.ACShow all

3 papers · 1 filter

math.AC2026

Weak and strong Lefschetz properties for vertex cover Artinian algebras associated to graphs

Trung Chau, Tran Quang Hoa, Dang Thi Kieu Uyen

Let $G$ be a finite simple graph and let $A_{c} (G)$ be the Artinian algebra associated with its cover ideal. We prove that $A_{c} (G)$ has the WLP when $τ (G) > ∣ V (G) ∣/2$ , where $τ (G)$ den…

math.AC2026

Independence polynomials and the weak Lefschetz property for tadpole graphs

Tran Quang Hoa, Nguyen Duy Phuoc, Tran Nguyen Thanh Son

Let $T_{m, n}$ be the tadpole graph obtained by joining a cycle $C_{m}$ to a path $P_{n}$ by a bridge. We prove that the independence polynomial of every tadpole graph is unimodal and e…

math.AC2025

The Weak Lefschetz Property for Tensor Products of Artinian Monomial Algebras and Its Applications to Lollipop Graphs

Tran Quang Hoa, Nguyen Duy Phuoc, Tran Nguyen Thanh Son

In this paper, we investigate the weak Lefschetz property for tensor products of Artinian monomial algebras and complete quadratic monomial algebras. As an application, we classify…