E. Alkin

collaborators

3 papers

math.HO2026

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.GT2026

Invariants of almost embeddings of graphs in the plane

E. Alkin, A. Miroshnikov, A. Skopenkov

A graph drawing in the plane is called an almost embedding if the images of any two non-adjacent simplices (i.e. vertices or edges) are disjoint. Almost embeddings (more precisely,…

math.GT2025

On winding numbers of almost embeddings of $K_{4}$ in the plane

Emil Alkin, Alexander Miroshnikov

Let $K_{4}$ be the complete graph on four vertices. Let $f$ be a continuous map of $K_{4}$ to the plane such that $f$ -images of non-adjacent edges are disjoint. For any vertex $v \in K…

Homotopy classification of closed polygonal lines

Invariants of almost embeddings of graphs in the plane

On winding numbers of almost embeddings of K4​ in the plane

On winding numbers of almost embeddings of $K_{4}$ in the plane