Universal knot diagrams

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

Research output: Contribution to journalArticlepeer-review

8 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 languageEnglish
Article number1950031
JournalJournal of Knot Theory and its Ramifications
Volume28
Issue number7
DOIs
StatePublished - 1 Jun 2019

Bibliographical note

Publisher Copyright:
© 2019 World Scientific Publishing Company.

Funding

at HUJI, supported by ERC 339096. Work of J. Hass was also supported by NSF grant DMS-1758107. This work was supported by BSF Grant 2012188. The numerical experiments were carried out with the facilities of the School of Computer Science and Engineering at HUJI, supported by ERC 339096. Work of J. Hass was also supported by NSF grant DMS-1758107. This work was supported by BSF Grant 2012188. The numerical experiments were carried out with the facilities of the School of Computer Science and Engineering

FundersFunder number
ERC 339096339096
Bloom's Syndrome Foundation2012188
National Sleep FoundationDMS-1758107

    Keywords

    • Potholder
    • meander
    • one-pure braids

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