Knot energies by ropes

被引：14

作者：

Diao, Y ^{[1
]}

Ernst, C

Van Rensburg, EJJ

机构：

[1] Univ N Carolina, Dept Math, Charlotte, NC 28223 USA

[2] Western Kentucky Univ, Dept Math, Bowling Green, KY 42101 USA

[3] York Univ, Dept Math & Stat, N York, ON M3J 1P3, Canada

来源：

JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS | 1997年 / 6卷 / 06期

关键词：

knots; energy of knots; knot complexity; thickness of knots;

D O I：

10.1142/S0218216597000431

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

An energy function for smooth knots is defined using the concept of thickness and proved to be a good indicator of the complexity of knots. This energy function has the advantage that it can be measured experimentally. We carry out an experiment to measure the energies for knots up to 8 crossings and compare our data with energies obtained elsewhere through numerical simulations.

引用

页码：799 / 807

页数：9

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