On unknotting operations of rotation type

Yongju Bae, Byeorhi Kim

Research output: Contribution to journalArticlepeer-review


An unknotting operation is a local move on a knot diagram such that any knot diagram can be transformed into a diagram of the unknot by a finite sequence of the operations and Reidemeister moves. In this paper, we introduce a new local move H(T) on a knot diagram which is obtained by the rotation of a tangle diagram T and study their properties. As an application, we prove that the H(T)-move is an unknotting operation for any descending tangle diagram T.

Original languageEnglish
Article number1540009
JournalJournal of Knot Theory and its Ramifications
Issue number10
StatePublished - 2 Sep 2015


  • chord-tangle diagram
  • descending tangle diagram
  • Unknotting operation


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