Edge ideals of gapfree graphs with matching number $3$

Nursel Erey, Tài Huy Hà, Takayuki Hibi +2

We prove that if $G$ is a gapfree graph with matching number $3$, then every power $I(G{)}^q$, $q\ge 2$, of its edge ideal has linear quotients, and hence a linear resolution. Our ap…