Жучок А. В., доктор фізико-математичних наук, професор (Україна, м. Старобільськ) Заступник головного редактора Савченко С. В., доктор педагогічних наук, професор,член-кореспондент НАПН України (Україна, м. Старобільськ) ...

The (proper) power graph of a group is a graph whose vertex set is the set of all (nontrivial) elements of the group and two distinct vertices are adjacent if one is a power of the other. Various kinds of planarity of ...

Let Cay(S, A) denote the Cayley digraph of the semigroup S with respect to the set A, where A is any subset of S. The function f : Cay(S, A) → Cay(S, A) is called an endo-morphism of Cay(S, A) if for each (x, y) ∈ E(Cay(S, ...

We apply the version of Pólya-Redfield theory obtained by White to count patterns with a given automorphism group to the enumeration of strong dichotomy patterns, that is, we count bicolor patterns of Z2k with respect to ...

In this paper, exact sequences of graphs are defined and investigated. Considering some functors on the category of graphs, we study some conditions to determine exactness of functors.

Social media applications are fast becoming more and more popular in the educational process nowadays. This paper aims to explore the potential of the newly emerging social media application TikTok utilization in ...

The Partition algebras Pk(x) have been defined in [M1] and [Jo]. We introduce a new class of algebras for every group G called “Extended G-Vertex Colored Partition Algebras," denoted by b Pk(x,G), which contain partition ...

The scientific work is devoted to the study of such common problem like burnout syndrome. The aim of the work was to study the psychological characteristics of burnout among foreign medical students. A comparative ...

In Azerbaijan, as in the rest of the world, agriculture is mainly financed from the state budget, and many taxes and other benefits are provided in this area. The main reasons for tax and other benefits in agriculture are ...