2 citations · 4 across the 2 of their papers we have counts for
3 papers
math.CO2017★ 2 cited
Equally spaced collinear points in Euclidean Ramsey theory
Andrii Arman, Sergei Tsaturian
It is proved that for , if the points of -dimensional Euclidean space are coloured in red and blue, then there are either two red points distance one apart or blu…
math.CO2017★ 2 cited
A result in asymmetric Euclidean Ramsey theory
Andrii Arman, Sergei Tsaturian
It is proved that if the points of the three-dimensional Euclidean space are coloured in red and blue, then there exist either two red points unit distance apart, or six collinear…
math.CO2017
The maximum number of cycles in a graph with fixed number of edges
Andrii Arman, Sergei Tsaturian
The main topic considered is maximizing the number of cycles in a graph with given number of edges. In 2009, Király conjectured that there is constant such that any graph with…