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- W2028642341 abstract "We show that for any nontrivial knot K and any natural number n, there is a diagram D of K such that the unknotting number of D is greater than or equal to n. It is well-known that twice the unknotting number of K is less than or equal to the crossing number of K minus one. We show that the equality holds only when K is a (2, p)-torus knot." @default.
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- W2028642341 date "2009-08-01" @default.
- W2028642341 modified "2023-09-25" @default.
- W2028642341 title "UNKNOTTING NUMBERS OF DIAGRAMS OF A GIVEN NONTRIVIAL KNOT ARE UNBOUNDED" @default.
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- W2028642341 doi "https://doi.org/10.1142/s0218216509007361" @default.
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