Results 41 to 50 of about 256,711 (164)
On the tree-number of the power graph associated with some finite groups [PDF]
AUT Journal of Mathematics and ComputingGiven 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
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Discrete Mathematics, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Brigham, Robert C. +3 more
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On Power Graph Representation of Γ_1-nonderanged Permutation Group
UMYU Scientifica JournalA -nonderanged permutation group is a permutation group such that where . In this paper, an undirected power graph representation of -nonderanged permutation group denoted by has been studied.
Anas Yusuf, Almustapha Umar
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Research on the construction and implementation of power grid fault handling knowledge graphs
Energy 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
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Power Domination in the Generalized Petersen Graphs
Discussiones 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
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Power Domination Number On Shackle Operation with Points as Lingkage
JTAM (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
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A survey on the development status and application prospects of knowledge graph in smart grids
IET Generation, Transmission & Distribution, 2021 With the advent of the electric power big data era, semantic interoperability and interconnection of power data have received extensive attention. Knowledge graph technology is a new method describing the complex relationships between concepts and ...
Jian Wang, Xi Wang, Chaoqun Ma, Lei Kou
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Average Degree in Graph Powers [PDF]
Journal 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 .
Matt DeVos +2 more
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Real Quadratic-Form-Based Graph Pooling for Graph Neural Networks
Machine Learning and Knowledge Extraction, 2022 Graph neural networks (GNNs) have developed rapidly in recent years because they can work over non-Euclidean data and possess promising prediction power in many real-word applications.
Youfa Liu, Guo Chen
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Discrete Mathematics, 2009 In this paper, some results concerning the colorings of graph powers are presented. The notion of helical graphs is introduced. We show that such graphs are hom-universal with respect to high odd-girth graphs whose $(2t+1)$st power is bounded by a Kneser graph. Also, we consider the problem of existence of homomorphism to odd cycles. We prove that such
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