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- W2962860897 abstract "New presentations of a link and a virtual link are introduced and algebraic systems on links and virtual links are constructed respectively. Based on the algebraic systems, Reduction Crossing Algorithms for them are proposed which are used to reduce the number of crossings in a link and virtual link. For known unknots, one can transform them into a trivial knot in a polynomial time by applying corresponding algorithm. As special consequences, Goeritz's unknot and Thistlethwaite's unknot are unknotted. Moreover, an infinite family of knots $K_{G_{2k,2l}}$ are unknotted in $O(n^2)$ time where $n$ is the number of crossings in each $K_{G_{2k,2l}}$ for $k,lge 0$." @default.
- W2962860897 created "2019-07-30" @default.
- W2962860897 creator A5008377054 @default.
- W2962860897 date "2019-07-01" @default.
- W2962860897 modified "2023-09-24" @default.
- W2962860897 title "New presentations of a link and virtual link" @default.
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- W2962860897 doi "https://doi.org/10.1142/s0218216519500512" @default.
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