Geodesic
A three-colour graph as a~complete topological invariant for gradient-like diffeomorphisms of surfaces
Sbornik. Mathematics, Tome 205 (2014) no. 10, pp. 1387-1412

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In a paper of Oshemkov and Sharko, three-colour graphs were used to make the topological equivalence of Morse-Smale flows on surfaces obtained by Peixoto more precise. In the present paper, in the language of three-colour graphs equipped with automorphisms, we obtain a complete (including realization) topological classification of gradient-like cascades on surfaces. Bibliography: 25 titles.
Keywords: Morse-Smale diffeomorphism, gradient-like diffeomorphism, three-colour graph, topological classification. 
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V. Z. Grines; S. H. Kapkaeva; O. V. Pochinka. A three-colour graph as a~complete topological invariant for gradient-like diffeomorphisms of surfaces. Sbornik. Mathematics, Tome 205 (2014) no. 10, pp. 1387-1412. http://geodesic.mathdoc.fr/item/SM_2014_205_10_a1/