The growth of the number of prime knots
- 1 July 1987
- journal article
- research article
- Published by Cambridge University Press (CUP) in Mathematical Proceedings of the Cambridge Philosophical Society
- Vol. 102 (2) , 303-315
- https://doi.org/10.1017/s0305004100067323
Abstract
A fundamental and interesting question in knot theory is:Question 1. How many prime knots of n crossings are there ?Over time, knot theorists have answered this question for n ≤ 13 by the method of exhaustion: one writes down a list of all possible knots of n crossings, and then works hard to eliminate duplications from the list [12]. A perhaps easier question is the following:Keywords
This publication has 5 references indexed in Scilit:
- Knots, by G. Burde and H. Zieschang. Pp 399. DM 138. 1985. ISBN 3-11-008675-1 (de Gruyter)The Mathematical Gazette, 1987
- The stereostructure of knots and catenanes produced by phage λ integrative recombination: implications for mechanism and DNA structureCell, 1985
- Knot tabulations and related topicsPublished by Cambridge University Press (CUP) ,1985
- Probability of knots in a polymer ringPhysics Letters A, 1982
- Knoten mit zwei Br ckenMathematische Zeitschrift, 1956