Andrii Arman

most citedTriangle-free graphs with the maximum number of cycles

1 citations · 1 across the 3 of their papers we have counts for

collaborators

3 papers

math.MG2024

Minimal dispersion on the cube and the torus

Andrii Arman, Alexander E. Litvak

We improve some upper bounds for minimal dispersion on the cube and torus. /Our new ingredient is an improvement of a probabilistic lemma used to obtain upper bounds for dispersion…

math.MG2024

On Hadwiger's covering problem in small dimensions

Andrii Arman, Andriy Bondarenko, Andriy Prymak

Let $H_{n}$ be the minimal number such that any $n$ -dimensional convex body can be covered by $H_{n}$ translates of interior of that body. Similarly $H_{n}^{s}$ is the corresponding quanti…

math.CO2015★ 1 cited

Triangle-free graphs with the maximum number of cycles

Andrii Arman, David S. Gunderson, Sergei Tsaturian

It is shown that for $n \geq 141$ , among all triangle-free graphs on $n$ vertices, the complete equibipartite graph is the unique triangle-free graph with the greatest number of cyc…