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

Abstract: 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.