Koszul binomial edge ideals

J\"urgen Herzog; Takayuki Hibi; Viviana Ene

arxiv: 1310.6426 · v1 · pith:STPT2IWPnew · submitted 2013-10-23 · 🧮 math.AC

Koszul binomial edge ideals

Viviana Ene , J\"urgen Herzog , Takayuki Hibi This is my paper

classification 🧮 math.AC

keywords binomialchordalclawedgefreekoszulalgebraclass

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It is shown that if the binomial edge ideal of a graph $G$ defines a Koszul algebra, then $G$ must be chordal and claw free. A converse of this statement is proved for a class of chordal and claw free graphs.

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Koszul binomial edge ideals

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