Mutation invariance of the arc index for some montesinos knots

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For the alternating knots or links, mutations do not change the arc index. In the case of nonalternating knots, some semi-alternating knots or links have this property. We mainly focus on the problem of mutation invariance of the arc index for nonalternating knots which are not semi-alternating. In this paper, we found families of infinitely many mutant pairs/triples of Montesinos knots with the same arc index.
Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
Issue Date
2017-09
Language
English
Article Type
Article
Keywords

PRIME KNOTS; LINKS; POLYNOMIALS

Citation

JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, v.26, no.10, pp.1750058

ISSN
0218-2165
DOI
10.1142/S0218216517500584
URI
http://hdl.handle.net/10203/226125
Appears in Collection
MA-Journal Papers(저널논문)
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