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
收藏
页码：977 / 993
页数：17
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