Does the Jones polynomial detect unknottedness?
Dasbach, Oliver T., Hougardy, Stefan (1997)
Experimental Mathematics
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Displaying similar documents to “Ordering Knots”
Does the Jones polynomial detect unknottedness?
Unknotting number one knots are prime.
M.G. Scharlemann (1985)
Inventiones mathematicae
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Edge number results for piecewise-Linear knots
Monica Meissen (1998)
Banach Center Publications
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The minimal number of edges required to form a knot or link of type K is the edge number of K, and is denoted e(K). When knots are drawn with edges, they are appropriately called piecewise-linear or PL knots. This paper presents some edge number results for PL knots. Included are illustrations of and integer coordinates for the vertices of several prime PL knots.
Infinite order amphicheiral knots.
Livingston, Charles (2001)
Algebraic & Geometric Topology
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Knots with property .
Clark, Bradd Evans (1983)
International Journal of Mathematics and Mathematical Sciences
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On the first two Vassiliev invariants.
Willerton, Simon (2002)
Experimental Mathematics
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On 10-crossing knots
Perko, Kenneth A. jr. (1979)
Portugaliae mathematica
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Mp-small summands increase knot width.
Hendricks, Jacob (2004)
Algebraic & Geometric Topology
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Maximal Thurston-Bennequin number of two-bridge links.
Ng, Lenhard L. (2001)
Algebraic & Geometric Topology
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The nonuniqueness of Chekanov polynomials of Legendrian knots.
Melvin, Paul, Shrestha, Sumana (2005)
Geometry & Topology
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Torus knots that cannot be untied by twisting.
Mohamed Ait Nouh, Akira Yasuhara (2001)
Revista Matemática Complutense
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We give a necessary condition for a torus knot to be untied by a single twisting. By using this result, we give infinitely many torus knots that cannot be untied by a single twisting.
A partial order in the knot table.
Kitano, Teruaki, Suzuki, Masaaki (2005)
Experimental Mathematics
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