The $v$-number of generalized binomial edge ideals of some graphs

Yi-Huang Shen, Guangjun Zhu

Let $G$ be a finite connected simple graph, and let ${\mathcal{J}}_{K_m,G}$ denote its generalized binomial edge ideal. By investigating the colon ideals of ${\mathcal{J}}_{K_m,G}$, we…