Results 61 to 70 of about 8,004,238 (365)
Power Domination in Graphs [PDF]
, 2020 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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Clawfreeness of the powers of a graph
Discrete Applied Mathematics, 2012 AbstractLet n∈N. We describe a list Gn of graphs such that if the nth power Gn of a graph G contains a claw then some graph in Gn appears as an induced subgraph of G. We show that our set Gn is the smallest set of graphs with this property. If T is a tree, this gives a precise characterization of the claw-free powers of T.
Patrick Bahls, Nicole Gin
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Global Energy Interconnection, 2023 Operation control of power systems has become challenging with an increase in the scale and complexity of power distribution systems and extensive access to renewable energy.
Kai Xiao +4 more
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Distributed Approximation on Power Graphs [PDF]
Proceedings of the 39th Symposium on Principles of Distributed Computing, 2020 We investigate graph problems in the following setting: we are given a graph $G$ and we are required to solve a problem on $G^2$. While we focus mostly on exploring this theme in the distributed CONGEST model, we show new results and surprising connections to the centralized model of computation.
Bar-Yehuda, Reuven +4 more
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Signless Laplacian spectrum of power graphs of finite cyclic groups
AKCE International Journal of Graphs and Combinatorics, 2020 In this paper, we have studied the Signless Laplacian spectrum of the power graph of finite cyclic groups. We have shown that is an eigen value of Signless Laplacian of the power graph of with multiplicity at least In particular, using the theory of ...
Subarsha Banerjee, Avishek Adhikari
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, 2011 The topological (graph) structure of complex networks often provides valuable information about the performance and vulnerability of the network. However, there are multiple ways to represent a given network as a graph.
Barrows, Clayton +3 more
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Attack Graph Model for Cyber-Physical Power Systems Using Hybrid Deep Learning
IEEE Power & Energy Society General MeetingElectrical power grids are vulnerable to cyber attacks, as seen in Ukraine in 2015 and 2016. However, existing attack detection methods are limited. Most of them are based on power system measurement anomalies that occur when an attack is successfully ...
Alfan Presekal +3 more
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A Graph Theoretic Approach to Power System Vulnerability Identification [PDF]
IEEE Transactions on Power Systems, 2020 During major power system disturbances, when multiple component outages occur in rapid succession, it becomes crucial to quickly identify the transmission interconnections that have limited power transfer capability. Understanding the impact of an outage
R. Biswas +3 more
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On groups with specified quotient power graphs [PDF]
International Journal of Group Theory, 2016 . In this paper we study some relations between the power andquotient power graph of a finite group. These interesting relations motivateus to find some graph theoretical properties of the quotient power graphand the proper quotient power graph of a ...
Mostafa Shaker, Mohammadali Iranmanesh
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Spatiotemporal Graph Neural Network for Performance Prediction of Photovoltaic Power Systems
AAAI Conference on Artificial Intelligence, 2021 In recent years, a large number of photovoltaic (PV) systems have been added to the electrical grid as well as installed as off-grid systems. The trend suggests that the deployment of PV systems will continue to rise in the future.
A. M. Karimi +3 more
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