| 张恺,杨志青.纽结的n-Gordian复形[J].数学年刊A辑,2019,40(4):443~448 |
| 纽结的n-Gordian复形 |
| The n-Gordian Complex of Knots |
| Received:November 21, 2017 |
| DOI：10.16205/j.cnki.cama.2019.0033 |
| 中文关键词: Knot, $n$-Move, $n$-Gordian distance, $n$-Gordian complex |
| 英文关键词:Knot, $n$-Move, $n$-Gordian distance, $n$-Gordian complex |
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| 中文摘要: |
| 定义了纽结的$n$-Gordian复形,
这是纽结Gordian复形的一种推广, 并证明了当$n$为正偶数时, 对任意纽结$K$ 和任意正整数$r$,
存在一个包含$K$且共含$r$个纽结的集合, 使得此集合中任意两个纽结的$n$-Gordian距离为1. |
| 英文摘要: |
| In this paper, the $n$-Gordian complex of knots is defined which is
an extention of the Gordian complex of knots. The authors show that if $n\geq2$ and $n$
is even, then for any knot $K$ and any positive integer $r$, there is a finite set of
knots of size $r$ containing $K$, such that the $n$-Gordian distance between any two
knots in this set is 1. |
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