Results 21 to 30 of about 317,940 (197)
Generating all graph coverings by permutation voltage assignments
Discrete Mathematics, 1977 AbstractThis paper introduces the permutation voltage graph construction, which is a generalization of Gross's ordinary voltage graph construction. It is shown that every covering of a given graph arises from some permutation voltage assignment in a symmetric group and that every regular covering (in the topological sense) arises from some ordinary ...
Jonathan L. Gross, Thomas W. Tucker
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Semicubic cages and small graphs of even girth from voltage graphs
, 2023 An \emph{$(3,m;g)$ semicubic graph} is a graph in which all vertices have degrees either $3$ or $m$ and fixed girth $g$. In this paper, we construct families of semicubic graphs of even girth and small order using two different techniques. The first technique generalizes a previous construction which glues cubic cages of girth $g$ together at remote ...
Flor Aguilar +2 more
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Critical groups of covering, voltage, and signed graphs
Discrete Mathematics, 2013 Version 3 fixes a typo, and adds some details in the proof of Theorem 1 ...
Victor Reiner, Dennis Tseng
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Graph-Based Topological Embedding and Deep Reinforcement Learning for Autonomous Voltage Control in Power System [PDF]
SensorsWith increasing power system complexity and distributed energy penetration, traditional voltage control methods struggle with dynamic changes and complex conditions.
Hongtao Wei, Siyu Chang, Jiaming Zhang
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Graph Convolutional Network Based Fault Detection and Identification for Low-voltage DC Microgrid [PDF]
Journal of Modern Power Systems and Clean Energy, 2023 This paper presents a novel fault detection and identification method for low-voltage direct current (DC) microgrid with meshed configuration. The proposed method is based on graph convolutional network (GCN), which utilizes the explicit spatial ...
Ambuj Pandey, Soumya R. Mohanty
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Characteristic polynomials of graph bundles having voltages in a dihedral group
Linear Algebra and its Applications, 2001 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jin Ho Kwak, Young Soo Kwon
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A contribution to the theory of voltage graphs
Discrete Mathematics, 1986 This paper studies several problems in voltage graph theory (useful in constructing graph imbeddings), such as equivalence and regularity of coverings generated by (permutation) voltage graphs, and automorphism groups. To consider a sample result, let \(\chi\) be either an ordinary voltage assignment (OVA) or a permutation voltage assignment (PVA ...
Martin Škoviera
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The medial graph and voltage- current duality
Discrete Mathematics, 1992 The author examines both current graphs and voltage graphs, utilizing the medial graph: a 4-regular graph derived from an imbedded graph encoding both the primal and the dual graphs. New insights into voltage-current duality, including wrapped coverings, are obtained. A method is developed for simultaneously giving a voltage and a current assignment on
Dan Archdeacon
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Graph neural networks for assessing the reliability of the medium-voltage grid
Applied EnergyContains fulltext : 317068.pdf (Publisher’s version ) (Open Access)
Charlotte Cambier van Nooten +5 more
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On the non-commutative Iwasawa main conjecture for voltage covers of graphs
, 2023 29 pages, minor changes to previous ...
Sören Kleine, Katharina Müller
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