The growth of the number of prime knots

The growth of the number of prime knots
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素数结数量的增长

DOI:
10.1017/s0305004100067323
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发表时间:
1987
影响因子:
0.8
通讯作者:
D. Sumners
D. Sumners
中科院分区:
数学2区
文献类型:
--
作者:
C. Ernst;D. Sumners

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纽结理论中一个基本而有趣的问题是:问题1。有多少个素数节的n交叉?随着时间的推移,纽结理论家已经通过穷举法回答了n ≤ 13的问题:写下n个交叉点的所有可能纽结的列表,然后努力从列表中消除重复[12]。一个可能更简单的问题是:
A fundamental and interesting question in knot theory is: Question 1. How many prime knots of n crossings are there ? Over time, knot theorists have answered this question for n ≤ 13 by the method of exhaustion: one writes down a list of all possible knots of n crossings, and then works hard to eliminate duplications from the list [12]. A perhaps easier question is the following: