Arc index of pretzel knots of type $(-p,q,r)$

Hwa Jeong Lee, Gyo Taek Jin

We computed the arc index for some of the pretzel knots $K=P(-p,q,r)$ with $p,q,r\ge 2$, $r\ge q$ and at most one of $p,q,r$ is even. If $q=2$, then the arc index $\alpha (K)$ equals the…