Results 31 to 40 of about 1,358,458 (277)

On the tree-number of the power graph associated with some finite groups [PDF]

open access: yesAUT Journal of Mathematics and Computing
Given a group G, we define the power graph P(G) as follows: the vertices are the elements of G and two vertices x and y are joined by an edge if ⟨x⟩ ⊆ ⟨y⟩ or ⟨y⟩ ⊆ ⟨x⟩.
Sakineh Rahbariyan
doaj   +1 more source

Average Degree in Graph Powers [PDF]

open access: yesJournal of Graph Theory, 2012
AbstractThe kth power of a simple graph G, denoted by , is the graph with vertex set where two vertices are adjacent if they are within distance k in G. We are interested in finding lower bounds on the average degree of . Here we prove that if G is connected with minimum degree and , then G4 has average degree at least .
DeVos, Matt   +2 more
openaire   +3 more sources

Perfect codes in power graphs of finite groups

open access: yesOpen Mathematics, 2017
The power graph of a finite group is the graph whose vertex set is the group, two distinct elements being adjacent if one is a power of the other. The enhanced power graph of a finite group is the graph whose vertex set consists of all elements of the ...
Ma Xuanlong   +4 more
doaj   +1 more source

Towards sparse matrix operations: graph database approach for power grid computation

open access: yesGlobal Energy Interconnection, 2023
The construction of new power systems presents higher requirements for the Power Internet of Things (PIoT) technology. The “source-grid-load-storage” architecture of a new power system requires PIoT to have a stronger multi- source heterogeneous data ...
Daoxing Li   +4 more
doaj   +1 more source

A network approach for power grid robustness against cascading failures [PDF]

open access: yes, 2015
Cascading failures are one of the main reasons for blackouts in electrical power grids. Stable power supply requires a robust design of the power grid topology.
Kooij, Robert E.   +3 more
core   +3 more sources

Power domination in Kn\"odel graphs and Hanoi graphs

open access: yesDiscussiones Mathematicae Graph Theory, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Varghese, Seethu   +2 more
openaire   +3 more sources

Research on the construction and implementation of power grid fault handling knowledge graphs

open access: yesEnergy Reports, 2023
Power grid fault disposal has important guiding significance for the efficient and orderly emergency work of power grid accidents. The knowledge graph technology is used to extract, express and manage the fault disposal information.
Na Xiao   +5 more
doaj   +1 more source

Power Domination in the Generalized Petersen Graphs

open access: yesDiscussiones Mathematicae Graph Theory, 2020
The problem of monitoring an electric power system by placing as few measurement devices in the system can be formulated as a power dominating set problem in graph theory.
Zhao Min, Shan Erfang, Kang Liying
doaj   +1 more source

Power Domination Number On Shackle Operation with Points as Lingkage

open access: yesJTAM (Jurnal Teori dan Aplikasi Matematika), 2020
The Power dominating set is a minimum point of determination in a graph that can dominate the connected dots around it, with a minimum domination point.
Ilham Saifudin
doaj   +1 more source

Distribution-graph based approach and extended tree growing technique in power-constrained block-test scheduling [PDF]

open access: yes, 2000
A distribution-graph based scheduling algorithm is proposed together with an extended tree growing technique to deal with the problem of unequal-length block-test scheduling under power dissipation constraints. The extended tree growing technique is used
Muresan, Valentin   +3 more
core   +1 more source

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