A note on the Gordian complexes of some local moves on knots
2018 ◽
Vol 27
(09)
◽
pp. 1842002
In this paper, the [Formula: see text]-move is defined. We show that for any knot [Formula: see text], there exists an infinite family of knots [Formula: see text] such that the Gordian distance [Formula: see text] and pass-move-Gordian distance [Formula: see text] for any [Formula: see text]. We also show that there is another infinite family of knots [Formula: see text] (where [Formula: see text]) such that the [Formula: see text]-move-Gordian distance [Formula: see text] and [Formula: see text]-Gordian distance [Formula: see text] for any [Formula: see text] and all [Formula: see text].
2018 ◽
Vol 482
(4)
◽
pp. 385-388
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Keyword(s):
Keyword(s):
1977 ◽
Vol 24
(2)
◽
pp. 252-256
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2012 ◽
Vol 9
(5)
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pp. 681-687
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Keyword(s):
1911 ◽
Vol 30
◽
pp. 13-30
1995 ◽
Vol 93
(2)
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pp. 255-272
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