Acta Mathematica Vietnamica

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Strongly Koszul Edge Rings
Takayuki Hibi, Kazunori Matsuda, 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.

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