A Perron-Frobenius theory for block matrices associated to a multiplex network

DOI10.1016/j.chaos.2014.12.020zbMath1352.90018arXiv1411.7757OpenAlexW1966460579MaRDI QIDQ728350

Regino Criado, Julio Flores, Miguel Romance, Alejandro García del Amo, Luis Solá, Esther García

Publication date: 20 December 2016

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.7757

zbMATH Keywords

irreducibilityPerron-Frobenius theorymultiplex networkuniqueness of Perron vector

Mathematics Subject Classification ID

Deterministic network models in operations research (90B10) Eigenvalues, singular values, and eigenvectors (15A18) Boolean and Hadamard matrices (15B34)

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Cites Work

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• Schur's theorem for a block Hadamard product
• Uncoupling the Perron eigenvector problem
• Matrix results on the Khatri-Rao and Tracy-Singh products
• The strong Kronecker product
• Several inequalities involving Khatri-Rao products of positive semidefinite matrices
• Complex networks: structure and dynamics
• Navigability of interconnected networks under random failures
• Statistical mechanics of complex networks
• Eigenvector centrality of nodes in multiplex networks
• Inequalities for unitarily invariant norms and bilinear matrix products
• The Structure and Function of Complex Networks
• The Many Proofs and Applications of Perron's Theorem

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