2 citations · 6 across the 5 of their papers we have counts for
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Properties of the Fibonacci-sum graph
Andrii Arman, David S. Gunderson, Pak Ching Li
For each positive integer , the Fibonacci-sum graph on vertices is defined by two vertices forming an edge if and only if they sum to a Fibonacci number. It…
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…
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…
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…