### Realization of gradient-like diffeomorphisms on surfaces by means of automorphisms of three-color graphs

#### S. H. Kapkaeva1

Annotation This paper is a continuation of the papers  \cite{kapkaeva6}, \cite{kapkaeva7} which contain the conditions of topological conjugacy of gradient-like diffeomorphisms on surfaces. In the present paper the realization problem is solved. That is a standard representative is constructed in each class of topologically conjugated gradient-like diffeomorphisms Morse-Smale diffeomorphisms, gradient-like diffeomorphisms, topological conjugate diffeomorphisms, three-color graph, realization of diffeomorphisms

1Student, Mordovian State University after N.P. Ogarev, Saransk; kapkaevasvetlana@yandex.ru.

Citation: S. H. Kapkaeva, "[Realization of gradient-like diffeomorphisms on surfaces by means of automorphisms of three-color graphs]", Zhurnal Srednevolzhskogo matematicheskogo obshchestva,15:3 (2013) 76–88 (In Russian)