| 纽结的n-Gordian复形 |
| |
| 引用本文： | 张恺,杨志青.纽结的n-Gordian复形[J].数学年刊A辑(中文版),2019,40(4):443-448. |
| |
| 作者姓名： | 张恺 杨志青 |
| |
| 作者单位： | 江西财经大学统计学院, 南昌 330013.,大连理工大学数学科学学院, 辽宁 大连 116024. |
| |
| 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.
|
| 关 键 词： | Knot $n$-Move $n$-Gordian distance $n$-Gordian complex |
| 收稿时间： | 2017/11/21 0:00:00 |
The n-Gordian Complex of Knots |
| |
| ZHANG Kai and YANG Zhiqing.The n-Gordian Complex of Knots[J].Chinese Annals of Mathematics,2019,40(4):443-448. |
| |
| Authors: | ZHANG Kai and YANG Zhiqing |
| |
| Institution: | School of Statistics, Jiangxi University of Finance and Economics, Nanchang 330013, China. and School of Mathematical Sciences, Dalian University of Technology, Dalian116024, Liaoning, China. |
| |
| Abstract: | 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. |
| |
| Keywords: | Knot $n$-Move $n$-Gordian distance $n$-Gordian complex |
| 本文献已被 CNKI 等数据库收录！ |
| 点击此处可从《数学年刊A辑(中文版)》浏览原始摘要信息 |
| 点击此处可从《数学年刊A辑(中文版)》下载免费的PDF全文 |
