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Discrete Mathematics
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Discrete Mathematics
Article . 2013
License: Elsevier Non-Commercial
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Article . 2013 . Peer-reviewed
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The warping degree of a nanoword

Authors: Fukunaga, Tomonori;

The warping degree of a nanoword

Abstract

Abstract A. Kawauchi has introduced the notion of warping degrees of knot diagrams and A. Shimizu has given an inequality for warping degrees and crossing numbers of knot diagrams Shimizu (2010) [4] . In this paper, we extend the notion of warping degrees and Shimizu’s inequality to nanowords. Moreover, to describe the condition for the equality, we introduce the new notion on nanowords, “the alternating nanowords”, which corresponds to the alternating knot diagrams.

Country
Japan
Keywords

Discrete Mathematics and Combinatorics, nanowords, warping degree, 410, knot diagrams, Theoretical Computer Science

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
2
Average
Average
Average
hybrid
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