Graph Product Multilayer Networks: Spectral Properties and Applications

  title={Graph Product Multilayer Networks: Spectral Properties and Applications},
  author={Hiroki Sayama},
  journal={J. Complex Networks},
  • Hiroki Sayama
  • Published 4 January 2017
  • Computer Science
  • J. Complex Networks
This paper aims to establish theoretical foundations of graph product multilayer networks (GPMNs), a family of multilayer networks that can be obtained as a graph product of two or more factor networks. Cartesian, direct (tensor), and strong product operators are considered, and then generalized. We first describe mathematical relationships between GPMNs and their factor networks regarding their degree/strength, adjacency, and Laplacian spectra, and then show that those relationships can still… 

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