Kyungpook Mathematical Journal

  • 제61권1호
  • /
  • Pages.205-212
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  • 2021
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  • 1225-6951(pISSN)
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  • 0454-8124(eISSN)
경북대학교 자연과학대학 수학과 (Department of Mathematics, Kyungpook National University)
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Forbidden Detour Number on Virtual Knot

  • 투고 : 2019.08.30
  • 심사 : 2020.06.04
  • 발행 : 2021.03.31
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초록

We show that the forbidden detour move, essentially introduced by Kanenobu and Nelson, is an unknotting operation for virtual knots. Then we define the forbidden detour number of a virtual knot to be the minimal number of forbidden detour moves necessary to transform a diagram of the virtual knot into the trivial knot diagram. Some upper and lower bounds on the forbidden detour number are given in terms of the minimal number of real crossings or the coefficients of the affine index polynomial of the virtual knot.

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참고문헌

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