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Journal Articles Journal of Knot Theory and Its Ramifications Year : 2016

Untangling trigonal diagrams

Abstract

Let $K$ be a link of Conway's normal form $C(m)$, $m \geq 0$, or $C(m,n)$ with $mn>0$, and let $D$ be a trigonal diagram of $K.$ We show that it is possible to transform $D$ into an alternating trigonal diagram, so that all intermediate diagrams remain trigonal, and the number of crossings never increases.
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Dates and versions

hal-01084463 , version 1 (19-11-2014)
hal-01084463 , version 2 (23-11-2014)

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Cite

Erwan Brugallé, Pierre-Vincent Koseleff, Daniel Pecker. Untangling trigonal diagrams. Journal of Knot Theory and Its Ramifications, 2016, 25 (7), ⟨10.1142/S0218216516500437⟩. ⟨hal-01084463v2⟩
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