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Indexed by:期刊论文

Date of Publication:2017-11-01

Journal:JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS

Included Journals:SCIE

Volume:26

Issue:13

ISSN No.: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.