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Author Diao, Yuanan ♦ Ernst, Claus ♦ Por, Attila ♦ Ziegler, Uta
Source arXiv.org
Content type Text
File Format PDF
Date of Submission 2009-12-16
Language English
Subject Domain (in DDC) Natural sciences & mathematics ♦ Mathematics
Subject Keyword Mathematics - Geometric Topology ♦ 57M25 ♦ math
Abstract 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 by a Cr(K) ln^5 (Cr(K)) for any knot K. This result shows that the upper bound of the ropelength of any knot is almost linear in terms of its minimum crossing number.
Educational Use Research
Learning Resource Type Article
Page Count 53


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