Lattice stick numbers of small knots

Youngsik Huh, Seung Sang Oh

Research output: Contribution to journalArticle

15 Citations (Scopus)

Abstract

Lattice stick number sL (K) is defined to be the minimal number of sticks required to construct a polygonal representation of the knot K in the cubic lattice. In this paper, we give lattice stick numbers of small knots such as 31 and 41. More precisely we prove that s L(31) = 12 and sL(K) ≥ 14 for any other non-trivial knot K.

Original languageEnglish
Pages (from-to)859-867
Number of pages9
JournalJournal of Knot Theory and its Ramifications
Volume14
Issue number7
DOIs
Publication statusPublished - 2005 Nov 1

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Keywords

  • Cubic lattice
  • Knot
  • Stick number

ASJC Scopus subject areas

  • Algebra and Number Theory

Cite this

Lattice stick numbers of small knots. / Huh, Youngsik; Oh, Seung Sang.

In: Journal of Knot Theory and its Ramifications, Vol. 14, No. 7, 01.11.2005, p. 859-867.

Research output: Contribution to journalArticle

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