AN ALGORITHM TO COMPUTE THE KAUFFMAN POLYNOMIAL OF 2-BRIDGE KNOTS

被引：3

作者：

Lu, Bin ^{[1
]}

Zhong, Jianyuan K. ^{[1
]}

机构：

[1] Calif State Univ Sacramento, Dept Math & Stat, Sacramento, CA 95819 USA

来源：

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2010年 / 40卷 / 03期

关键词：

Kauffman skein modules; relative skein modules; Kauffman polynomials; rational knots;

D O I：

10.1216/RMJ-2010-40-3-977

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The 2-bridge knots are a family of knots with bridge number 2 [1, 13]. In this paper, we compute the Kauffman polynomial of 2-bridge knots using the Kauffman skein theory and linear algebraic techniques. Our calculation can be easily carried out using Mathematica, Maple, Mathcad, etc.

引用

页码：977 / 993

页数：17

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