Lattice stick numbers of small knots

Youngsik Huh, Seungsang Oh

Research output: Contribution to journalArticlepeer-review

21 Citations (Scopus)


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
Issue number7
Publication statusPublished - 2005 Nov

Bibliographical note

Funding Information:
The first author was supported by the research fund of Hanyang University (HY-2004). The second author (corresponding author) was supported by a Korea University Grant.


  • Cubic lattice
  • Knot
  • Stick number

ASJC Scopus subject areas

  • Algebra and Number Theory


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