Results 11 to 20 of about 8,152,507 (265)
Persistent homology in graph power filtrations [PDF]
Royal Society Open Science, 2016 The persistence of homological features in simplicial complex representations of big datasets in Rn resulting from Vietoris–Rips or Čech filtrations is commonly used to probe the topological structure of such datasets.
Allen D. Parks, David J. Marchette
doaj +3 more sources
The Wiener, hyper-Wiener, Harary and SK indices of the P(Z_{p^k.q^r}) power graph [PDF]
Notes on Number Theory and Discrete Mathematics, 2023 The undirected P(Zₙ) power graph of a finite group of Zₙ is a connected graph, the set of vertices of which is Zₙ. Here u,v∈P(Zₙ) are two diverse adjacent vertices if and only if u≠v and ⟨v⟩ ⊆ ⟨u⟩ or ⟨u⟩ ⊆ ⟨v⟩.
Volkan Aşkin
doaj +2 more sources
Power domination in maximal planar graphs [PDF]
Discrete Mathematics & Theoretical Computer Science, 2019 Power domination in graphs emerged from the problem of monitoring an electrical system by placing as few measurement devices in the system as possible. It corresponds to a variant of domination that includes the possibility of propagation.
Paul Dorbec +2 more
doaj +5 more sources
A Review of Graph Neural Networks and Their Applications in Power Systems [PDF]
Journal of Modern Power Systems and Clean Energy, 2022 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
doaj +2 more sources
Recent developments on the power graph of finite groups – a survey
AKCE International Journal of Graphs and Combinatorics, 2021 Algebraic graph theory is the study of the interplay between algebraic structures (both abstract as well as linear structures) and graph theory. Many concepts of abstract algebra have facilitated through the construction of graphs which are used as tools
Ajay Kumar +3 more
doaj +2 more sources
Rainbow Connection Number of Graph Power and Graph Products [PDF]
Graphs and Combinatorics, 2013 15 pages.
Basavaraju, Manu +3 more
openaire +4 more sources
Dynamic graph structure and spatio-temporal representations in wind power forecasting [PDF]
Science and Technology for Energy TransitionWind Power Forecasting (WPF) has gained considerable focus as a crucial aspect of the successful integration and operation of wind power. However, due to the stochastic and unstable nature of wind, it poses a real challenge to effectively analyze the ...
Zang Peng +3 more
doaj +2 more sources
Adaptive power flow analysis for power system operation based on graph deep learning
International Journal of Electrical Power & Energy SystemsConventional model-driven methods are hard to handle large-scale power flow with multivariate uncertainty, variable topology, and massive real-time repetitive calculations.
Xiao Hu +6 more
doaj +2 more sources
Rethinking the Expressive Power of GNNs via Graph Biconnectivity [PDF]
International Conference on Learning Representations, 2023 Designing expressive Graph Neural Networks (GNNs) is a central topic in learning graph-structured data. While numerous approaches have been proposed to improve GNNs in terms of the Weisfeiler-Lehman (WL) test, generally there is still a lack of deep ...
Bohang Zhang +3 more
semanticscholar +1 more source
On the Expressive Power of Geometric Graph Neural Networks [PDF]
International Conference on Machine Learning, 2023 The expressive power of Graph Neural Networks (GNNs) has been studied extensively through the Weisfeiler-Leman (WL) graph isomorphism test. However, standard GNNs and the WL framework are inapplicable for geometric graphs embedded in Euclidean space ...
Chaitanya K. Joshi, Simon V. Mathis
semanticscholar +1 more source