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Acta Mathematica Vietnamica

Strongly Koszul Edge Rings

Takayuki Hibi , Kazunori Matsuda , icon-email Hidefumi Ohsugi

Abstract

We classify the finite connected simple graphs whose edge rings are strongly Koszul. From the classification, it follows that if the edge ring is strongly Koszul, then its toric ideal possesses a quadratic Gröbner basis.