Universal knot diagrams

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

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

6 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 languageAmerican English
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.

Keywords

  • Potholder
  • meander
  • one-pure braids

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