PN sequences obtained from signs of crossings of knot diagrams

Kuniyuki Takaoka

doi:10.1142/S0218216516500589

PN sequences obtained from signs of crossings of knot diagrams

Kuniyuki Takaoka^*

^*この研究の対応する著者

研究成果: Article › 査読

抄録

For an oriented knot diagram, we define a cyclic word in letters P and N corresponding to positive and negative crossings along the diagram, respectively. We give a necessary and sufficient condition for a cyclic word in P and N to be obtained from some knot diagram. Also, we prove that any PN sequence of a diagram of a nontrivial knot contains at least four subsequences PP and NN.

本文言語	English
論文番号	1650058
ジャーナル	Journal of Knot Theory and its Ramifications
巻	25
号	10
DOI	https://doi.org/10.1142/S0218216516500589
出版ステータス	Published - 2016 9月 1

ASJC Scopus subject areas

代数と数論

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10.1142/S0218216516500589

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KW - crossing information

KW - Knot diagram

KW - negative crossing

KW - positive crossing

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PN sequences obtained from signs of crossings of knot diagrams

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