TY - JOUR
T1 - On unknotting operations of rotation type
AU - Bae, Yongju
AU - Kim, Byeorhi
N1 - Publisher Copyright:
© 2015 World Scientific Publishing Company.
PY - 2015/9/2
Y1 - 2015/9/2
N2 - 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.
AB - 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.
KW - chord-tangle diagram
KW - descending tangle diagram
KW - Unknotting operation
UR - http://www.scopus.com/inward/record.url?scp=84942892623&partnerID=8YFLogxK
U2 - 10.1142/S021821651540009X
DO - 10.1142/S021821651540009X
M3 - Article
AN - SCOPUS:84942892623
SN - 0218-2165
VL - 24
JO - Journal of Knot Theory and its Ramifications
JF - Journal of Knot Theory and its Ramifications
IS - 10
M1 - 1540009
ER -