The weak Lefschetz properties of artinian monomial algebras associated to certain tadpole graphs

Phan Minh Hung, Nguyen Duy Phuoc, Tran Nguyen Thanh Son

Given a simple graph $G$, the artinian monomial algebra associated to $G$, denoted by $A(G)$, is defined by the edge ideal of $G$ and the squares of the variables. In this article,…