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 …
The complexity of power graphs associated with finite groups
The power graph $\mathcal {P}(G) $ of a finite group $ G $ is the graph whose vertex set is $
G $, and two elements in $ G $ are adjacent if one of them is a power of the other. The …
G $, and two elements in $ G $ are adjacent if one of them is a power of the other. The …
Note on the power graph of finite simple groups
N Akbari, AR Ashrafi - Quasigroups and Related Systems, 2015 - ibn.idsi.md
A graph Г is said to be 2Гconnected if Г does not have a cut vertex. The power graph P (G) of
a group G is the graph which has the group elements as vertex set and two elements are …
a group G is the graph which has the group elements as vertex set and two elements are …
The number of spanning trees of E-extended power graphs associated with finite semigroups
Y Wang, P Gao, X Guo - Discrete Mathematics, 2024 - Elsevier
We introduce a new kind of graph built from finite semigroups that we refer to as E-extended
power graphs. An E-extended power graph Γ S of a finite semigroup S can be considered as …
power graphs. An E-extended power graph Γ S of a finite semigroup S can be considered as …
Power graphs of quasigroups
DVL Walker - 2019 - digitalcommons.usf.edu
We investigate power graphs of quasigroups. The power graph of a quasigroup takes the
elements of the quasigroup as its vertices, and there is an edge from one element to a …
elements of the quasigroup as its vertices, and there is an edge from one element to a …
On the tree-number of the power graph associated with a finite groups
S Rahbariyan - arXiv preprint arXiv:2212.04695, 2022 - arxiv.org
Given a group $ G $, we define the power graph $\mathcal {P}(G) $ as follows: the vertices
are the elements of $ G $ and two vertices $ x $ and $ y $ are joined by an edge if $\langle …
are the elements of $ G $ and two vertices $ x $ and $ y $ are joined by an edge if $\langle …
Some properties of various graphs associated with finite groups
X Chen, A Moghaddamfar, M Zohourattar - arXiv preprint arXiv …, 2018 - arxiv.org
In this paper we have investigated some properties of the power graph and commuting
graph associated with a finite group, using their tree-numbers. Among other things, it has …
graph associated with a finite group, using their tree-numbers. Among other things, it has …
On the tree-number of the power graph associated with some finite groups
S Rahbariyan - AUT Journal of Mathematics and Computing, 2024 - ajmc.aut.ac.ir
Given a group $ G $, we define the power graph $\mathcal {P}(G) $ as follows: the vertices
are the elements of $ G $ and two vertices $ x $ and $ y $ are joined by an edge if $\langle …
are the elements of $ G $ and two vertices $ x $ and $ y $ are joined by an edge if $\langle …
A note on the power graphs of finite nilpotent groups
The power graph P (G) of a group G is the graph with vertex set G and two distinct vertices
are adjacent if one is a power of the other. Two finite groups are said to be conformal, if they …
are adjacent if one is a power of the other. Two finite groups are said to be conformal, if they …
[PDF][PDF] Some Structural Properties of Power and Commuting Graphs Associated With Finite Groups
M Zohourattar - 10 th Iranian Group Theory Conference, 2018 - igtc.khu.ac.ir
In this talk we will investigate some properties of the power and commuting graphs
associated with finite groups, using their tree-numbers. It has been shown that the simple …
associated with finite groups, using their tree-numbers. It has been shown that the simple …