Title | ||
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Tensor-based mathematical framework and new centralities for temporal multilayer networks |
Abstract | ||
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•A novel mathematical model, referred to as a temporal multilayer network, is proposed for exploring complex networked systems with time and space.•Using the mathematical formulation of the fifth-order tensor to represent the temporal multilayer networks.•Based on tensor framework, four important topological metrics are proposed to quantitatively evaluate the temporal multilayer networks.•Two novel iterative refinement centralities are proposed to quantify importance of nodes in temporal multilayer networks.•Using the theory of multilinear algebra and matrix analysis to prove the convergence of two iterative refinement algorithm. |
Year | DOI | Venue |
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2020 | 10.1016/j.ins.2019.09.056 | Information Sciences |
Keywords | Field | DocType |
Temporal multilayer networks,Fifth-order tensor,Topological metrics,Iterative refinement centralities,Essential nodes | Convergence (routing),Complex system,Iterative refinement,Matrix analysis,Information loss,Tensor,Multilinear algebra,Spacetime,Theoretical computer science,Artificial intelligence,Machine learning,Mathematics | Journal |
Volume | ISSN | Citations |
512 | 0020-0255 | 0 |
PageRank | References | Authors |
0.34 | 0 | 3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Dingjie Wang | 1 | 3 | 1.43 |
Wei Yu | 2 | 7 | 2.62 |
Xiufen Zou | 3 | 272 | 25.44 |