T. Banakh

activity

20062025

most citedEmbedding the bicyclic semigroup into countably compact topological semigroups

33 citations · 687 across the 231 of their papers we have counts for

collaborators

Showing math.COShow all

18 papers · 1 filter

math.CO2025

Enumerations of 1-rotational Steiner systems

Ivan Hetman, Taras Banakh, Alex Ravsky

In this paper new $1$ -rotational 2-Steiner systems for different admissible $v, k$ pairs are introduced. In particular, $1$ -rotational unitals of order $4$ are enumerated.

math.CO2025

Point-transitive and 1-rotational unitals of order 5

Ivan Hetman, Taras Banakh, Alex Ravsky

In this paper we introduce enumeration of unitals of order $5$ , which are also Steiner systems $S (2, 6, 126)$ , where automorphism group acts transitively and effectively on points or…

math.CO2023

Game extensions of floppy graph metrics

Taras Banakh, Pietro Majer

A $g r a p h$ $m e t r i c$ on a set $X$ is any function $d : E_{d} \to R_{+} := {x \in R : x > 0}$ defined on a connected graph $E_{d} \subseteq [X]^{2} := {A \subseteq X : ∣ A ∣ = 2}$ and such t…

math.CO2018★ 2 cited

Minimal covers of hypergraphs

Taras Banakh, Dominic van der Zypen

For a hypergraph $H = (V, E)$ , a subfamily $C \subseteq E$ is called a cover of the hypergraph if $⋃ C = ⋃ E$ . A cover $C$ …

math.CO2017

Difference bases in dihedral groups

Taras Banakh, Volodymyr Gavrylkiv

A subset $B$ of a group $G$ is called a difference basis of $G$ if each element $g \in G$ can be written as the difference $g = a b^{- 1}$ of some elements $a, b \in B$ . The smallest card…

math.CO2017

Difference bases in finite Abelian groups

Taras Banakh, Volodymyr Gavrylkiv

A subset $B$ of a group $G$ is called a difference basis of $G$ if each element $g \in G$ can be written as the difference $g = a b^{- 1}$ of some elements $a, b \in B$ . The smallest card…