Geodesic
Chord diagrams, $d$-diagrams, and knots
Zapiski Nauchnykh Seminarov POMI, Geometry and topology. Part 5, Tome 267 (2000), pp. 170-194 Cet article a éte moissonné depuis la source Math-Net.Ru

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A method of representing knots, links, and singular knots and links by means of words in a finite alphabet and so-called $d$-diagrams is given. Also a representation of the chord diagram algebra in terms of words in a finite alphabet is considered. This method, unlike coding by Gauss diagrams, allows to consider knots and links simultaneously. An algorithm for recognition diagrams of classical knots in the terms of $d$-diagrams is given. 
@article{ZNSL_2000_267_a12,
     author = {V. O. Manturov},
     title = {Chord diagrams, $d$-diagrams, and knots},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {170--194},
     year = {2000},
     volume = {267},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2000_267_a12/}
}
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V. O. Manturov. Chord diagrams, $d$-diagrams, and knots. Zapiski Nauchnykh Seminarov POMI, Geometry and topology. Part 5, Tome 267 (2000), pp. 170-194. http://geodesic.mathdoc.fr/item/ZNSL_2000_267_a12/