A NOTE ON KNOT FERTILITY
- 1 January 2021
- journal article
- research article
- Published by Faculty of Mathematics, Kyushu University in Kyushu Journal of Mathematics
- Vol. 75 (2), 273-276
- https://doi.org/10.2206/kyushujm.75.273
Abstract
We show that a knot whose minimum crossing number c(K) is even and greater than 30 is not fertile; there exists a knot K′ with crossing number less than c such that K′ is not obtained from a minimum crossing number diagram of K by suitably changing the over-under information.Keywords
Other Versions
This publication has 3 references indexed in Scilit:
- On fertility of knot shadowsJournal of Knot Theory and Its Ramifications, 2020
- Knot fertility and lineageJournal of Knot Theory and Its Ramifications, 2017
- Studying links via closed braids II: On a theorem of BennequinTopology and its Applications, 1991