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School of Undergraduate Studies
1. Journal Articles
On the arc index of cable links and Whitehead doubles
Lee, Hwa Jeong
;
Takioka, Hideo
ETC
1. Journal Articles
School of Undergraduate Studies
1. Journal Articles
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Title
On the arc index of cable links and Whitehead doubles
Issued Date
2016-06
Citation
Lee, Hwa Jeong. (2016-06). On the arc index of cable links and Whitehead doubles. Journal of Knot Theory and Its Ramifications, 25(7). doi: 10.1142/S0218216516500413
Type
Article
Author Keywords
Arc index
;
grid diagram
;
cable link
;
Whitehead double
;
Kauffman polynomial
Keywords
Arc Index
;
Cable Link
;
emBEDDING KNOTS
;
Grid Diagram
;
Kauffman Polynomial
;
OPEN-BOOK
;
Whitehead Double
ISSN
0218-2165
Abstract
In this paper, we construct an algorithm to produce canonical grid diagrams of cable links and Whitehead doubles, which give sharper upper bounds of the arc index of them. Moreover, we determine the arc index of 2-cable links and Whitehead doubles of all prime knots with up to eight crossings. © 2016 World Scientific Publishing Company.
URI
http://hdl.handle.net/20.500.11750/2269
DOI
10.1142/S0218216516500413
Publisher
World Scientific Publishing Co. Pte Ltd
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