On quasi-equigenerated and Freiman cover ideals of graphs

Benjamin Drabkin, Lorenzo Guerrieri

A quasi-equigenerated monomial ideal $I$ in the polynomial ring $R=k[x_1,\dots ,x_n]$ is a Freiman ideal if $\mu (I^2)=l(I)\mu (I)-\left(\genfrac{}{}{0ex}{}{l(I)}{2}\right)$ where $l(I)$ is the analytic spr…