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LOWER BOUNDS FOR THE NUMBER OF POSITIVE AND NEGATIVE CROSSINGS IN ORIENTED LINK DIAGRAMS

Release Time:2019-03-11  Hits:

Indexed by: Journal Article

Date of Publication: 2017-01-01

Journal: BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY

Included Journals: Scopus、SCIE

Volume: 54

Issue: 6

Page Number: 2149-2154

ISSN: 1015-8634

Key Words: Jones polynomial; positive crossings; negative crossings

Abstract: In this paper, we obtain a simple lower bound for the number of positive (resp. negative) crossings in oriented link diagrams in terms of the maximal (resp. minimal) degree of the Jones polynomial.

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