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On the arc index of Kanenobu knots

Title
On the arc index of Kanenobu knots
Authors
Lee, H.J.[Lee, Hwa Jeong]Takioka, H.[ Takioka, Hideo]
DGIST Authors
Lee, H.J.[Lee, Hwa Jeong]
Issue Date
2017
Citation
Journal of Knot Theory and its Ramifications
Type
Article
Article Type
Article in Press
Keywords
(Formula Presented.)-PolynomialArc IndexBraid IndexKanenobu KnotKauffman Polynomial
ISSN
0218-2165
Abstract
In this paper, we calculate the Kauffman polynomials (Formula presented.) of Kanenobu knots (Formula presented.) with (Formula presented.) half twists and determine their spans on the variable (Formula presented.) completely. As an application, we determine the arc index of infinitely many Kanenobu knots. In particular, we give sharper lower bounds of the arc index of (Formula presented.) by using canonical cabling algorithm and the 2-cable (Formula presented.)-polynomials. Moreover, we give sharper upper bounds of the arc index of some Kanenobu knots by using their braid presentations. ? 2017 World Scientific Publishing Company
URI
http://hdl.handle.net/20.500.11750/2069
DOI
10.1142/S0218216517500158
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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