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A Review of Graph Neural Networks and Their Applications in Power Systems
Deep neural networks have revolutionized many machine learning tasks in power systems, ranging from pattern recognition to signal processing. The data in these tasks are typically represented in Euclidean domains.
Wenlong Liao +4 more
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Power Domination in the Generalized Petersen Graphs
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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Research on the construction and implementation of power grid fault handling knowledge graphs
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 Number On Shackle Operation with Points as Lingkage
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
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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Power Domination in Graphs [PDF]
In this chapter, we are interested in power domination in graphs. Power domination is a variation of domination introduced to address a physical problem of monitoring a network with phasor measurement units. The originality of this variation is that some propagation happens, and the set of covered vertices results from an iterative process.
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The First Zagreb Index, The Wiener Index, and The Gutman Index of The Power of Dihedral Group
Research on graphs combined with groups is an interesting topic in the field of combinatoric algebra where graphs are used to represent a group. One type of graph representation of a group is a power graph.
Evi Yuniartika Asmarani +5 more
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Brandstädt, Andreas, Le, Van Bang
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Mode Entanglement and Entangling power in Bosonic Graphs [PDF]
We analyze the quantum entanglement properties of bosonic particles hopping over graph structures.Mode-entanglement of a graph vertex with respect the rest of the graph is generated, starting from a product state, by turning on for a finite time a ...
Giorda, Paolo, Zanardi, Paolo
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For a graph $G$, its $r$th power is constructed by placing an edge between two vertices if they are within distance $r$ of each other. In this note we study the amount of edges added to a graph by taking its $r$th power. In particular we obtain that, for $r\geq 3$, either the $r$th power is complete or "many" new edges are added.
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