Freiman Cover Ideals of Unmixed Bipartite Graphs

An equigenerated monomial ideal $I$ in the polynomial ring $R=k[z_1,\ldots, z_n]$ is a Freiman ideal if $\mu(I^2)=\ell(I)\mu(I)-{\ell(I)\choose 2}$, where $\ell(I)$ is the analytic spread of $I$ and $\mu(I)$ is the number of minimal the generators of $I$. In this paper we classify all simple connected unmixed bipartite graphs whose cover ideals are Freiman ideals.