Universal knot diagrams

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

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 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.

Keywords

  • Potholder
  • meander
  • one-pure braids

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