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Ribbonlength along three-page presentation of links

Hyungkee Yoo ⟨hyungkee@scnu.ac.kr⟩

Abstract:

Since Kauffman first introduced the concept of ribbonlength for knots and links, many researchers, including Denne, have studied ribbonlength using folded ribbons. In several studies, upper bounds for ribbonlength were obtained by folding the ribbon in the shape of a right isosceles triangle. In this presentation, we introduce a new method of folding the ribbon into an equilateral triangle shape instead of the right isosceles triangle. We will then relate this method to three-page presentations, which are variations of the arc presentation. In this process, we present new upper bounds for the ribbonlength of the Hopf link and the trefoil knot.

Scheduled for: 2025-08-14 08:30 AM: Graphs Session #5 #1

Status: Accepted

Collection: Topological Graph Theory

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