Universal knot diagrams

Chaim Even-Zohar; Joel Hass; Nati Linial; Tahl Nowik

doi:10.1142/S0218216519500317

Universal knot diagrams

Chaim Even-Zohar^*, Joel Hass, Nati Linial, Tahl Nowik

^*Corresponding author for this work

The Rachel and Selim Benin School of Engineering and Computer Science

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

Abstract

We study collections of planar curves that yield diagrams for all knots. In particular, we show that a very special class called potholder curves carries all knots. This has implications for realizing all knots and links as special types of meanders and braids. We also introduce and apply a method to compare the efficiency of various classes of curves that represent all knots.

Original language	English
Article number	1950031
Journal	Journal of Knot Theory and its Ramifications
Volume	28
Issue number	7
DOIs	https://doi.org/10.1142/S0218216519500317
State	Published - 1 Jun 2019

Bibliographical note

Publisher Copyright:
© 2019 World Scientific Publishing Company.

Keywords

Potholder
meander
one-pure braids

Access to Document

10.1142/S0218216519500317

Cite this

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abstract = "We study collections of planar curves that yield diagrams for all knots. In particular, we show that a very special class called potholder curves carries all knots. This has implications for realizing all knots and links as special types of meanders and braids. We also introduce and apply a method to compare the efficiency of various classes of curves that represent all knots.",

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AU - Linial, Nati

AU - Nowik, Tahl

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KW - meander

KW - one-pure braids

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Universal knot diagrams

Abstract

Bibliographical note

Keywords

Access to Document

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