Edge rings with q-linear resolutions
Abstract
In the present paper, we give a complete classification of connected simple graphs whose edge rings have a q-linear resolution with q ≥ 2. In particular, we show that the edge ring of a finite connected simple graph with a q-linear resolution, where q ≥ 3, is a hypersurface, which was conjectured by Hibi, Matsuda, and Tsuchiya.
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