6 citations · 6 across the 2 of their papers we have counts for
2 papers
math.MG2024
Optimal partitions of the flat torus into parts of smaller diameter
Dmitry Protasov, Alexander Tolmachev, Vsevolod Voronov
We consider the problem of partitioning a two-dimensional flat torus into sets in order to minimize the maximal diameter of a part. For we give numerical…
math.MG2022★ 6 cited
Coverings of planar and three-dimensional sets with subsets of smaller diameter
Alexander Tolmachev, Dmitry Protasov, Vsevolod Voronov
Quantitative estimates related to the classical Borsuk problem of splitting set in Euclidean space into subsets of smaller diameter are considered. For a given there is a minim…