Igor Protasov

activity

20092016

most citedSymmetry and colorings: Some results and open problems

8 citations · 8 across the 5 of their papers we have counts for

collaborators

5 papers

math.CO2016

Isometric copies of directed trees in orientations of graphs

Taras Banakh, Adam Idzik, Oleg Pikhurko +2

For every $n \in N$ we construct a finite graph $G$ such that every orientation $G$ of $G$ contains an isometric copy of any oriented tree on $n$ vertices, and evaluate…

math.GR2013

Scattered Subsets of Groups

T. O. Banakh, I. V. Protasov, S. V. Slobodianiuk

We define the scattered subsets of a group as asymptotic counterparts of scattered subspaces of a topological space, and prove that a subset $A$ of a group $G$ is scattered if and…

math.GR2012

Syndetic submeasures and partitions of $G$ -spaces and groups

Taras Banakh, Igor Protasov, Sergiy Slobodianiuk

We prove that for every number k each countable infinite group $G$ admits a partition $G = A \cup B$ into two sets which are $k$ -meager in the sense that for every $k$ -element subset…

math.CO2010

Kaleidoscopical Configurations in G-spaces

T. O. Banakh, O. Petrenko, I. V. Protasov +1

Let $G$ be a group and $X$ be a $G$ -space. A subset $F$ of $X$ is called a kaleidoscopical configuration if there exists a surjective coloring $χ : X \to Y$ such that the restriction…

math.CO2009★ 8 cited

Symmetry and colorings: Some results and open problems

T. Banakh, I. V. Protasov

We survey some principal results and open problems related to colorings of algebraic and geometric objects endowed with symmetries.