NameHwa Jeong Lee
AffiliationChung-Ang University
Talk typeSession
TimeJan 9 16:00~16:20
LocationE11-102
TitleArc index of pretzel knots of type $(-p,q,r)$
Abstract
We computed the arc index for the pretzel knots $K=(-p,q,r)$ with $p,q,r\geq 2$ and $r\geq q$, and at most one of $p,q,r$ is even. If $q=2$, then the arc index $\alpha(K)$ equals the minimal crossing number c(K). If $p\geq 3$ and $q=3$, then $\alpha(K)=c(K)-1$. If $p\geq 5$ and $q=4$, then $\alpha(K)=c(K)-2$.
Slide102-1-9/2012_0109_KAIST_Lee.pdf