%0 Journal Article
%T Stick numbers of $2$-bridge knots and links
%A Youngsik Huh
%A Sungjong No
%A Seungsang Oh
%J Mathematics
%D 2014
%I arXiv
%X Negami found an upper bound on the stick number $s(K)$ of a nontrivial knot $K$ in terms of the minimal crossing number $c(K)$ of the knot which is $s(K) \leq 2 c(K)$. Furthermore McCabe proved $s(K) \leq c(K) + 3$ for a $2$-bridge knot or link, except in the case of the unlink and the Hopf link. In this paper we construct any $2$-bridge knot or link $K$ of at least six crossings by using only $c(K)+2$ straight sticks. This gives a new upper bound on stick numbers of $2$-bridge knots and links in terms of crossing numbers.
%U http://arxiv.org/abs/1411.1850v1