Geodesic
Invariants of homotopy classes of curves and graphs on $2$-surfaces
Fundamentalʹnaâ i prikladnaâ matematika, Tome 18 (2013) no. 4, pp. 89-105.

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Algebraic objects arising from the study of curves and graphs on $2$-surfaces are studied. Their homotopy invariance is verified. 
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V. O. Manturov; D. A. Fedoseev. Invariants of homotopy classes of curves and graphs on $2$-surfaces. Fundamentalʹnaâ i prikladnaâ matematika, Tome 18 (2013) no. 4, pp. 89-105. http://geodesic.mathdoc.fr/item/FPM_2013_18_4_a6/

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