Nullification of Torus knots and links
Nullification of Torus knots and links
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DOI：
10.1142/s0218216514500588
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发表时间：
2014-10-01
影响因子：
0.5
通讯作者：
Montemayor, Anthony
中科院分区：
文献类型：
--
作者：
Ernst, Claus;Montemayor, Anthony
众所周知，通过平滑结/链接的投影图中的一些交叉点，可以使结/链接无效，即可以将其制成平凡的结/链接。为了使结/链接无效而要平滑的此类交叉的最小数量称为无效数。在本文中，我们研究了特定结族（即环面结和链接族）的无效数。
It is known that a knot/link can be nullified, i.e. can be made into the trivial knot/link, by smoothing some crossings in a projection diagram of the knot/link. The minimum number of such crossings to be smoothed in order to nullify the knot/link is called the nullification number. In this paper we investigate the nullification numbers of a particular knot family, namely the family of torus knots and links.