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On the arc index of cable links and Whitehead doubles

Title
On the arc index of cable links and Whitehead doubles
Authors
Lee, HJ[Lee, Hwa Jeong]Takioka, H[Takioka, Hideo]
DGIST Authors
Lee, HJ[Lee, Hwa Jeong]
Issue Date
2016-06
Citation
Journal of Knot Theory and Its Ramifications, 25(7)
Type
Article
Article Type
Article
Keywords
Arc IndexCable LinkGrid DiagramKauffman PolynomialWhitehead 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
Files:
There are no files associated with this item.
Collection:
School of Undergraduate Studies1. Journal Articles


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