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Open AccessFeature PaperArticle

Knotoids, Braidoids and Applications

School of Applied Mathematical and Physical Sciences, National Technical University of Athens, 15780 Athens, Greece
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Symmetry 2017, 9(12), 315; https://doi.org/10.3390/sym9120315
Received: 27 September 2017 / Revised: 7 December 2017 / Accepted: 8 December 2017 / Published: 12 December 2017
(This article belongs to the Special Issue Knot Theory and Its Applications)
This paper is an introduction to the theory of braidoids. Braidoids are geometric objects analogous to classical braids, forming a counterpart theory to the theory of knotoids. We introduce these objects and their topological equivalences, and we conclude with a potential application to the study of proteins. View Full-Text
Keywords: knotoids; multi-knotoids; knots; braids; braidoids; braidoid closure; braidoid isotopy; Alexander theorem; braidoiding algorithm; L-moves; L-equivalence; combinatorial braidoids; protein chains knotoids; multi-knotoids; knots; braids; braidoids; braidoid closure; braidoid isotopy; Alexander theorem; braidoiding algorithm; L-moves; L-equivalence; combinatorial braidoids; protein chains
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Gügümcü, N.; Lambropoulou, S. Knotoids, Braidoids and Applications. Symmetry 2017, 9, 315.

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