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math.HO2025
Homotopy classification of closed polygonal lines
E. Alkin, O. Nikitenko, A. Skopenkov
In this text we expose basic cases of some fundamental ideas and methods of topology. Namely, of homotopy, degree, fundamental group, covering, Whitehead invariant, etc. This is do…
math.HO2023
Cycles in graphs and in hypergraphs: results and problems
E. Alkin, S. Dzhenzher, O. Nikitenko +2
This is an expository paper. A -cycle in a graph is a set of edges such that every vertex is contained in an even number of edges from . E.g., a cycle in the sense of gra…