The Ropelengths of Knots Are Almost Linear in Terms of Their Crossing Numbers

Yuanan Diao, Claus Ernst, Attila Por +1

For a knot or link K, let L(K) be the ropelength of K and Cr(K) be the crossing number of K. In this paper, we show that there exists a constant a>0 such that L(K) is bounded above…