In this book, we introduce several graphical representations of a ring. In the past three
decades, graphs constructed from algebraic structures have been studied extensively by …

Power Graphs: A Survey Page 1 www.ejgta.org Electronic Journal of Graph Theory and
Applications 1 (2) (2013), 125–147 Power Graphs: A Survey Jemal Abawajya, Andrei …

The endomorphism monoids of graphs have been actively investigated. They are
convenient tools expressing asymmetries of the graphs. One of the most important classes of …

Cayley graphs considered as language recognisers are as powerful as the more general
finite state automata. This paper applies Cayley graphs to define a class of automata and …

A new fuzzy logic algorithm is developed for mobile robot navigation in local environments.
A Pioneer robot perceives its environment through an array of eight sonar sensors and self …

The power graph of a group G is a simple graph whose vertex-set is G and two vertices x
and y in G are adjacent if and only if one of them is a power of the other. The subgraph of is …

Given a group G, the enhanced power graph of G, denoted by 𝒢 e (G), is the graph with
vertex set G and two distinct vertices x and y are edge connected in 𝒢 e (G) if there exists z∈ …

The power graph PG of a finite group G is the graph with the vertex set G, where two distinct
vertices are adjacent if one is a power of the other. We first show that PG has a transitive …

Research on combinatorial properties of sequences in groups and semigroups originates
from Bernhard Neumann's theorem answering a question of Paul Erd"{o} s. For results on …

The enhanced power graph 𝒢 e (G) of a group G is the graph with vertex set G such that two
vertices x and y are adjacent if they are contained in the same cyclic subgroup. We prove …