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

Original · EN

We computed the arc index for some of the pretzel knots K=P(-p,q,r) with p,q,r≥2, r≥ q and at most one of p,q,r is even. If q=2, then the arc index α(K) equals the minimal crossing number c(K). If p≥3 and q=3, then α(K)=c(K)-1. If p≥5 and q=4, then α(K)=c(K)-2.