Results 261 to 270 of about 96,720 (286)

On the proper enhanced power graphs of finite nilpotent groups

Journal of Group Theory, 2022
Abstract For a group 𝐺, the enhanced power graph of 𝐺 is a graph with vertex set 𝐺 in which two distinct vertices x , y
Bera, Sudip, Dey, Hiranya Kishore
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On the enhanced power graph of a finite group

Communications in Algebra, 2020
The enhanced power graph Pe(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.
Ramesh Prasad Panda, Sandeep Dalal, Jitender Kumar   +2 more
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On the structure of finite groups with dominatable enhanced power graph

Journal of Algebra and Its Applications, 2021
Let [Formula: see text] be a group. The enhanced power graph of [Formula: see text] is a graph with vertex set [Formula: see text] and two distinct vertices [Formula: see text] and [Formula: see text] are adjacent if there exists [Formula: see text] such that [Formula: see text] and [Formula: see text] for some [Formula: see text]. Also, a vertex of a
Mahmoudifar, A., Babai, A.
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On the deep enhanced power graph of dihedral group

AIP Conference Proceedings
Ali Nor Muhainiah Mohd
exaly   +2 more sources

On the strong domination number of proper enhanced power graphs of finite groups

Acta Mathematica Hungarica
The enhanced power graph of a group G is a graph with vertex set G, where two distinct vertices x and y are adjacent if and only if there exists an element w in G such that both x and y are powers of w.
Bera, Sudip
exaly   +2 more sources

Graph-enhanced fault hierarchical perception for Dissolved Gas Analysis in power transformer

Engineering Applications of Artificial Intelligence
Huifang Ma, Shengjiang Peng, Ruijia Zhang   +2 more
exaly   +2 more sources

A study of enhanced power graphs of finite groups

Journal of Algebra and Its Applications, 2019
The enhanced power graph [Formula: see text] of a group [Formula: see text] is the graph with vertex set [Formula: see text] such that two vertices [Formula: see text] and [Formula: see text] are adjacent if they are contained in the same cyclic subgroup.
Zahirović, Samir, Bošnjak, Ivica, Madaras-Silađi, Rozalija   +2 more
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A graph model for enhancing situational awareness in power systems

2017 19th International Conference on Intelligent System Application to Power Systems (ISAP), 2017
As societies are becoming more dependent on the power grids, the security issues and blackout threats are more emphasized. This paper proposes a new graph model for online visualization and assessment of power grid security. The proposed model integrates topology and power flow information to estimate and visualize interdependencies between the lines ...
Mirjavad Hashemi Gavgani, Sara Eftekharnejad   +1 more
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The metric dimension of the enhanced power graph of a finite group

Journal of Algebra and Its Applications, 2019
The enhanced power graph of a finite group [Formula: see text] is the graph whose vertex set is [Formula: see text], and two distinct vertices are adjacent if they generate a cyclic subgroup of [Formula: see text]. In this paper, we establish an explicit formula for the metric dimension of an enhanced power graph.
Ma, Xuanlong, She, Yanhong
openaire   +1 more source

Characteristics of the Enhanced Power Coprime Graphs of Some Finite Groups

Malaysian Journal of Mathematical Sciences
The graphs of groups is a powerful tool for studying finite groups as it visually represents their structures and relationships. In general, introducing new graphs of groups leads to discoveries about the graphs' characteristics, offering significant insights into its structure, connectivity, and spectral aspects.
N. Mohamed, N. M. Mohd Ali, M. Bello
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