4-Move distance of knots
4-Move distance of knots
复制标题
4-节移动距离
DOI：
10.1142/s0218216522500493
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发表时间：
2022
影响因子：
0.5
通讯作者：
Takioka Hideo
中科院分区：
文献类型：
--
作者：
Kanenobu Taizo;Takioka Hideo
A-移动是结和链接的局部变化，将4个半扭曲变为0个半扭曲，反之亦然。1979年，Yasutaka Nakanishi提出，每个结都可以通过移动到解开的结来改变。这仍然是一个悬而未决的问题。在本文中，我们考虑的移动距离的节点，这是最小数量的移动需要变形成其他。特别地，结的移动解结数是到解结的移动距离。我们给一个表的移动unknotting结的数量与多达九个交叉点。
A-move is a local change for knots and links which changes 4 half twists to 0 half twists or vice versa. In 1979, Yasutaka Nakanishi conjectured that every knot can be changed by-moves to the unknot. This is still an open problem. In this paper, we consider the-move distance of knots, which is the minimal number of-moves needed to deform one into the other. In particular, the-move unknotting number of a knot is the-move distance to the unknot. We give a table of the-move unknotting number of knots with up to nine crossings.