  Ohsugi and Hibi characterized the edge ring of a finite connected simple
graph with a $2$-linear resolution. On the other hand, Hibi, Matsuda and the
author conjectured that the edge ring of a finite connected simple graph with a
$q$-linear resolution, where $q \geq 3$, is a hypersurface and proved the case
$q=3$. In the present paper, we solve this conjecture for the case of finite
connected simple bipartite graphs.
