In the field of mathematics, there are many branches of study, especially in graph theory,
mathematically a graph is a pair of sets, which consists of a non-empty set whose members …

The intersection graph of a finite group G is a graph (V, E) where V is a set of all non-trivial
subgroups of G and E is a set of edges where two distinct subgroups H_i, H_j are said to be …

Graph theory is one of the topics in mathematics that is quite interesting to study because it
is applicable and can be combined with other mathematical topics such as group theory …

The coprime graph of a finite group was defined by Ma, denoted by ΓG, is a graph with
vertices that are all elements of group G and two distinct vertices x and y are adjacent if and …

In recent years, the graph used as a representation of a finite group. One kind of graph that
represents a finite group is the non-coprime graph. The non-coprime graph of a finite group …

One of the concepts in mathematics that developing rapidly today is Graph Theory. The
development of Graph Theory has been combined with Group Theory, that is by …

Graph theory can give a representation of abstract mathematical systems such as groups or
rings. We have many graph representations for a group, in this study we use the coprime …

There are many applications of graphs in various fields. Starting from chemical problems,
such as the molecular shape of a compound to internet network problems, we can also use …

Nilpotent graph of ring integer modulo is one of the graph representations in algebraic
structures. This study aims to find out the shape and properties of a nilpotent graph of ring …

Research on graphs combined with groups is an interesting topic in the field of combinatoric
algebra where graphs are used to represent a group. One type of graph representation of a …