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Title: A three-colour graph as a complete topological invariant for gradient-like diffeomorphisms of surfaces

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.
Authors:
;  [1] ;  [2]
  1. N.I. Lobachevsky State University of Nizhny Novgorod, Nizhny Novgorod (Russian Federation)
  2. N.P. Ogarev Mordovian State University, Saransk (Russian Federation)
Publication Date:
OSTI Identifier:
22364685
Resource Type:
Journal Article
Resource Relation:
Journal Name: Sbornik. Mathematics; Journal Volume: 205; Journal Issue: 10; Other Information: Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICAL METHODS AND COMPUTING; CLASSIFICATION; COLOR; DIAGRAMS; GRAPH THEORY; MATHEMATICAL SOLUTIONS; SURFACES; TOPOLOGY