Geodesic
Three-Page Embeddings of Singular Knots
Funkcionalʹnyj analiz i ego priloženiâ, Tome 38 (2004) no. 1, pp. 16-33

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A semigroup with 15 generators and 84 relations is constructed. The center of the semigroup is in a one-to-one correspondence with the set of all isotopy classes of nonoriented singular knots (links with finitely many double intersections in general position) in $\mathbb{R}^3$.
Keywords: isotopy classification, singular knot, three-page embedding, universal semigroup, knotted graph. 
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     author = {V. V. Vershinin and V. A. Kurlin},
     title = {Three-Page {Embeddings} of {Singular} {Knots}},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FAA_2004_38_1_a1/}
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V. V. Vershinin; V. A. Kurlin. Three-Page Embeddings of Singular Knots. Funkcionalʹnyj analiz i ego priloženiâ, Tome 38 (2004) no. 1, pp. 16-33. http://geodesic.mathdoc.fr/item/FAA_2004_38_1_a1/