Title
Tensor-based mathematical framework and new centralities for temporal multilayer networks
Abstract
•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
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 Wang131.43
Wei Yu272.62
Xiufen Zou327225.44