A. Prymak

activity

20102026

most citedUniform and Pointwise Shape Preserving Approximation by Algebraic Polynomials

33 citations · 149 across the 36 of their papers we have counts for

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Showing 2021Show all

2 papers · 1 filter

math.CO2021★ 1 cited

Upper bounds on chromatic number of $E^{n}$ in low dimensions

Andrii Arman, Andriy V. Bondarenko, Andriy Prymak +1

Let $χ (E^{n})$ denote the chromatic number of the Euclidean space $E^{n}$ , i.e., the smallest number of colors that can be used to color $E^{n}$ so that no two…

math.MG2021★ 4 cited

Every $3$ -dimensional convex body can be covered by $14$ smaller homothetic copies

A. Prymak

We show that every $3$ -dimensional convex body can be covered by $14$ smaller homothetic copies. The previous result was $16$ copies established by Papadoperakis in 1999, while a c…

Upper bounds on chromatic number of En in low dimensions

Every 3-dimensional convex body can be covered by 14 smaller homothetic copies

Upper bounds on chromatic number of $E^{n}$ in low dimensions

Every $3$ -dimensional convex body can be covered by $14$ smaller homothetic copies