4 citations · 16 across the 10 of their papers we have counts for
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math.MG2018★ 1 cited
Neighboring mapping points theorem
Andrei V. Malyutin, Oleg R. Musin
We introduce and study a new family of extensions for the Borsuk-Ulam and topological Radon type theorems. The defining idea for this new family is to replace requirements of the f…
math.GT2018★ 3 cited
Meander diagrams of knots and spatial graphs: proofs of generalized Jablan--Radović conjectures
Yury Belousov, Andrei Malyutin
We study decomposition into simple arcs (i. e., arcs without self-intersections) for diagrams of knots and spatial graphs. In this paper, it is proved in particular that if no edge…