Edge rings of bipartite graphs with linear resolutions
Abstract
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 ≥ 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.
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