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О топологической классификации диффеоморфизмов Морса-Смейла на сфере $S^n$ посредством раскрашенного графа

We consider a  class  $G$ of orientation  preserving Morse-Smale diffeomorphisms without heteroclinical intersection defined  on the sphere $S^{n}$ of dimension  $n>3$. We put a colored graph $\Gamma_f$, endowed by a automorphism  $P_f$ into the correspondence for every diffeomorphism  $f\in G$ and give a definition of an isomorphism of such graphs. There is stated that there existence of isomorphism of graphs $\Gamma_f, \Gamma_{f'}$ is the neccesary and sufficient condition of topological conjugacy of diffeomorphisms $f, f'\in G$, and the exists an algorithm  recognizing the existence of the isomorphism of such graphs by linear time.