Research ArticleNo Access

2-Adjacency between some special links and pretzel links

Zhi-Xiong Tao

School of Science, Zhejiang University of Science and Technology, Hangzhou, Zhejiang 310023, P. R. China

https://doi.org/10.1142/S0218216518500621Cited by:0 (Source: Crossref)

Abstract

This paper studies 2-adjacency between a 3-strand pretzel link and one of the Hopf link, the Solomon’s link and the Whitehead link by using the results that have been obtained about 2-adjacency between knots or links and their polynomials and etc. This paper shows that of all 3-strand pretzel links, only ordinary pretzel links are 2-adjacent to the Hopf link or the Solomon’s link or the Whitehead link. Conversely, these special links are not 2-adjacent to any other 3-strand pretzel links, except for themselves, respectively.

Keywords:

AMSC: 57M25

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