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 Jeong ; Takioka, Hideo
- Issued Date
- 2016-06
- Citation
- Journal of Knot Theory and Its Ramifications, v.25, no.7
- 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.
- Publisher
- World Scientific Publishing Co. Pte Ltd
- Files in This Item:
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- Appears in Collections:
- ETC 1. Journal Articles
- School of Undergraduate Studies 1. Journal Articles
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