Knots with small lattice stick numbers

Youngsik Huh, Seungsang Oh

Research output: Contribution to journalArticle

10 Citations (Scopus)

Abstract

The lattice stick number of a knot type is defined to be the minimal number of straight line segments required to construct a polygon presentation of the knot type in the cubic lattice. In this paper, we mathematically prove that the trefoil knot 31 and in figure 8 knot 41 are the only knot types of lattice stick number less than 15, which verifies the result from previous numerical estimations on this quantity.

Original languageEnglish
Article number265002
JournalJournal of Physics A: Mathematical and Theoretical
Volume43
Issue number26
DOIs
Publication statusPublished - 2010

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Modelling and Simulation
  • Mathematical Physics
  • Physics and Astronomy(all)

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