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math.GT2010★ 6 cited
Region crossing change is an unknotting operation
Ayaka Shimizu
Region crossing change is a local transformation on a knot or link diagram. We show that a region crossing change on a knot diagram is an unknotting operation, and we define the re…
math.GT2010
The complete splitting number of a lassoed link
Ayaka Shimizu
In this paper, we define a lassoing on a link, a local addition of a trivial knot to a link. Let K be an s-component link with the Conway polynomial non-zero. Let L be a link which…