Recent developments on the power graph of finite groups–a survey
A Kumar, L Selvaganesh, PJ Cameron… - … International Journal of …, 2021 - Taylor & Francis
Algebraic graph theory is the study of the interplay between algebraic structures (both
abstract as well as linear structures) and graph theory. Many concepts of abstract algebra …
abstract as well as linear structures) and graph theory. Many concepts of abstract algebra …
On enhanced power graphs of finite groups
S Bera, AK Bhuniya - Journal of Algebra and its Applications, 2018 - World Scientific
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∈ …
vertex set G and two distinct vertices x and y are edge connected in 𝒢 e (G) if there exists z∈ …
[HTML][HTML] The structure and metric dimension of the power graph of a finite group
M Feng, X Ma, K Wang - European Journal of Combinatorics, 2015 - Elsevier
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 …
vertices are adjacent if one is a power of the other. We first show that PG has a transitive …
Power graphs of finite groups determined by Hosoya properties
Suppose G is a finite group. The power graph represented by P (G) of G is a graph, whose
node set is G, and two different elements are adjacent if and only if one is an integral power …
node set is G, and two different elements are adjacent if and only if one is an integral power …
A study of enhanced power graphs of finite groups
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 …
vertices x and y are adjacent if they are contained in the same cyclic subgroup. We prove …
On the power graphs of certain finite groups
F Ali, S Fatima, W Wang - Linear and Multilinear Algebra, 2022 - Taylor & Francis
The power graph of a group Ω is a graph, whose node set is Ω and two distinct elements are
adjacent if and only if one is an integral power of the other. A metric dimension of a graph Γ …
adjacent if and only if one is an integral power of the other. A metric dimension of a graph Γ …
On the enhanced power graph of a finite group
The enhanced power graph P e (G) of a group G is a graph with vertex set G and two
vertices are adjacent if they belong to the same cyclic subgroup. In this paper, we consider …
vertices are adjacent if they belong to the same cyclic subgroup. In this paper, we consider …
Spectrum and L-spectrum of the power graph and its main supergraph for certain finite groups
A Hamzeh, AR Ashrafi - Filomat, 2017 - doiserbia.nb.rs
Let G be a finite group. The power graph P (G) and its main supergraph S (G) are two simple
graphs with the same vertex set G. Two elements x, y G are adjacent in the power graph if …
graphs with the same vertex set G. Two elements x, y G are adjacent in the power graph if …
[PDF][PDF] The degree of a vertex in the power graph of a finite abelian group
A Sehgal, SN Singh - Southeast Asian Bulletin of Mathematics, 2023 - researchgate.net
The power graph G (S) of a semigroup S is a simple undirected graph whose vertex set is S,
and there is an edge between any two vertices if one is a power of the other. In this paper …
and there is an edge between any two vertices if one is a power of the other. In this paper …
[HTML][HTML] The full automorphism group of the power (di) graph of a finite group
M Feng, X Ma, K Wang - European Journal of Combinatorics, 2016 - Elsevier
The full automorphism group of the power (di)graph of a finite group - ScienceDirect Skip to
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