Geodesic
In equivalence of same knots in the thickened Klein bottle
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 14 (2017), pp. 1472-1479

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The history of knot tabulation is long established, having begun over 130 years ago. In 2016 S. Matveev and the author generated a complete list of 33 knots in the thickened Klein bottle whose minimal diagrams have at most 3 crossings. By using the generalized Kauffman bracket polynomial in four variables it was established that the list contains at least 28 different knots. In the paper identifying all duplicates we prove that the list contains exactly 28 knots.
Keywords: knot (links) in the thickened Klein bottle, knot diagram, transformations diagrams. 
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     author = {L. R. Nabeeva},
     title = {In equivalence of same knots in the thickened {Klein} bottle},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {1472--1479},
     publisher = {mathdoc},
     volume = {14},
     year = {2017},
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     url = {http://geodesic.mathdoc.fr/item/SEMR_2017_14_a69/}
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L. R. Nabeeva. In equivalence of same knots in the thickened Klein bottle. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 14 (2017), pp. 1472-1479. http://geodesic.mathdoc.fr/item/SEMR_2017_14_a69/