Release Time:2019-03-11  Hits:

Indexed by:Journal Article

Date of Publication:2017-11-01

Journal:JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS

Included Journals:SCIE

Volume:26

Issue:13

ISSN:0218-2165

Key Words:Knot; H(n)-move; H(n)-Gordian distance; H(n)-Gordian complex

Summary:In this paper, the H(n)-Gordian complex of knots is defined. The authors show that for any knot K and any positive integer r, there is a finite set of knots of size r containing K, such that the H(n)-Gordian distance between any two knots in this set is 1 for all n >= 2.