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math.GT2017
An Index-Type Invariant of Knot Diagrams Giving Bounds for Unknotting Framed Unknots
Piotr Suwara, Albert Yue
We introduce a new knot diagram invariant called the Self-Crossing Index (SCI). Using SCI, we provide bounds for unknotting two families of framed unknots. For one of these familie…
math.GT2016★ 5 cited
Minimal generating sets of directed oriented Reidemeister moves
Piotr Suwara
Polyak proved that the set is a minimal generating set of oriented Reidemeister moves. One may distinguish between forward and backward mo…