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math.GT2010
Prime knots with arc index up to 11 and an upper bound of arc index for non-alternating knots
Gyo Taek Jin, Wang Keun Park
Every knot can be embedded in the union of finitely many half planes with a common boundary line in such a way that the portion of the knot in each half plane is a properly embedde…
math.GT2010
Quadrisecant approximation of hexagonal trefoil knot
Gyo Taek Jin, Seojung Park
It is known that every nontrivial knot has at least two quadrisecants. Given a knot, we mark each intersection point of each of its quadrisecants. Replacing each subarc between two…
math.GT2010
A tabulation of prime knots up to arc index 11
Gyo Taek Jin, Wang Keun Park
As a supplement to the authors' article "Prime knots with arc index up to 11 and an upper bound of arc index for non-alternating knots", to appear in the Journal of Knot Theory and…