On the enhanced power graph of a finite group

RP Panda, S Dalal, J Kumar - Communications in Algebra, 2021 - Taylor & Francis
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 …

[PDF][PDF] Some Distance-Based Topological Indices of a Non-Commuting Graph ABSTRACT| FULL TEXT

M Mirzargar - Hacettepe Journal of Mathematics and Statistics, 2012 - dergipark.org.tr
Let G be a non-abelian group and let Z (G) be the center of G. The noncommuting graph of
G, Γ (G), is a graph with vertex set G\Z (G) and two distinct vertices x and y are adjacent if …

Commuting conjugacy class graph of finite CA-groups

MA Salahshour, AR Ashrafi - Khayyam Journal of Mathematics, 2020 - kjm-math.org
Let $ G $ be a finite nonabelian group. The commuting conjugacy class graph $\Gamma (G)
$ is a simple graph with the noncentral conjugacy classes of $ G $ as its vertex set and two …

[HTML][HTML] Spectral properties of the commuting graphs of certain groups

M Torktaz, AR Ashrafi - AKCE International Journal of Graphs and …, 2019 - Elsevier
Let G be a finite group. The commuting graph Γ= C (G) is a simple graph with vertex set G
and two vertices are adjacent if and only if they commute with each other. In this paper, the …

The number of subgroups of a given type in certain finite groups

HB Shelash, AR Ashrafi - Iranian Journal of Mathematical Sciences and …, 2021 - ijmsi.ir
The number of subgroups, normal subgroups and characteristic subgroups of a finite group
$ G $ are denoted by $ Sub (G) $, $ NSub (G) $ and $ CSub (G) $, respectively. The main …

Symmetry classes of tensors associated with the Semi-Dihedral groups

M Hormozi, K Rodtes - arXiv preprint arXiv:1202.3972, 2012 - arxiv.org
arXiv:1202.3972v2 [math.GR] 14 Dec 2012 Page 1 arXiv:1202.3972v2 [math.GR] 14 Dec 2012
SYMMETRY CLASSES OF TENSORS ASSOCIATED WITH THE SEMI-DIHEDRAL GROUPS …

On enhanced power graphs of certain groups

S Dalal, J Kumar - Discrete Mathematics, Algorithms and …, 2021 - World Scientific
The enhanced power graph 𝒫 e (G) of a group G is a simple undirected graph with vertex set
G and two distinct vertices x, y are adjacent if both x and y belongs to same cyclic subgroup …

[PDF][PDF] Automorphism group of certain power graphs of finite groups.

AR Ashrafi, A Gholami… - Electron. J. Graph Theory …, 2017 - faculty.kashanu.ac.ir
The power graph P (G) of a group G is the graph with group elements as vertex set and two
elements are adjacent if one is a power of the other. The aim of this paper is to compute the …

[PDF][PDF] Symmetry classes of polynomials associated with the dihedral group

E Babaei, Y Zamani - Bulletin of the Iranian Mathematical …, 2014 - bims.iranjournals.ir
Bulletin of the Iranian Mathematical Society Page 1 . Bulletin of the . Iranian Mathematical
Society . ISSN: 1017-060X (Print) . ISSN: 1735-8515 (Online) . Vol. 40 (2014), No. 4, pp. 863–874 …

Perfect state transfer on Cayley graphs over a group of order 8n

A Kalita, B Bhattacharjya - arXiv preprint arXiv:2405.02122, 2024 - arxiv.org
Perfect state transfer has great importance due to its applications in quantum information
processing, quantum communication networks and cryptography. In this paper, we study the …