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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
Author(s)
Lee, Hwa JeongTakioka, Hideo
Issued Date
2016-06
Citation
Journal of Knot Theory and Its Ramifications, v.25, no.7
Type
Article
Author Keywords
Arc indexgrid diagramcable linkWhitehead doubleKauffman polynomial
Keywords
Arc IndexCable LinkemBEDDING KNOTSGrid DiagramKauffman PolynomialOPEN-BOOKWhitehead 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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Appears in Collections:
ETC 1. Journal Articles
School of Undergraduate Studies 1. Journal Articles

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