Localization of multilayer networks by optimized single-layer rewiring

Physical Review. E
Sarika Jalan, Priodyuti Pradhan

Abstract

We study localization properties of principal eigenvectors (PEVs) of multilayer networks (MNs). Starting with a multilayer network corresponding to a delocalized PEV, we rewire the network edges using an optimization technique such that the PEV of the rewired multilayer network becomes more localized. The framework allows us to scrutinize structural and spectral properties of the networks at various localization points during the rewiring process. We show that rewiring only one layer is enough to attain a MN having a highly localized PEV. Our investigation reveals that a single edge rewiring of the optimized MN can lead to the complete delocalization of a highly localized PEV. This sensitivity in the localization behavior of PEVs is accompanied with the second largest eigenvalue lying very close to the largest one. This observation opens an avenue to gain a deeper insight into the origin of PEV localization of networks. Furthermore, analysis of multilayer networks constructed using real-world social and biological data shows that the localization properties of these real-world multilayer networks are in good agreement with the simulation results for the model multilayer network. This paper is relevant to applications that requi...Continue Reading

References

Mar 22, 2001·Nature·S H Strogatz
Dec 31, 2005·Nucleic Acids Research·Chris StarkMike Tyers
Mar 16, 2006·Proceedings of the National Academy of Sciences of the United States of America·Beth L ChenDmitri B Chklovskii
May 13, 1983·Science·S KirkpatrickM P Vecchi
May 21, 2010·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Sarika JalanBaowen Li
Jan 15, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·M S BaptistaC Grebogi
Apr 20, 2011·Proceedings of the National Academy of Sciences of the United States of America·Danielle S BassettScott T Grafton
Sep 26, 2012·Physical Review Letters·A V GoltsevJ F F Mendes
Oct 4, 2013·Nature Communications·Paolo Moretti, Miguel A Muñoz
Jan 23, 2014·ELife·Rishidev ChaudhuriXiao-Jing Wang
Jul 16, 2014·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Sarika Jalan, Sanjiv K Dwivedi
Apr 24, 2015·Nature Communications·Manlio De DomenicoVito Latora
Jan 13, 2016·Scientific Reports·Romualdo Pastor-Satorras, Claudio Castellano
Feb 1, 2017·Science Advances·Charo I Del GenioStefano Boccaletti
Feb 24, 2017·Nature Neuroscience·Danielle S Bassett, Olaf Sporns
May 17, 2017·Physical Review. E·Sanjiv K DwivediSarika Jalan
Jun 18, 2017·Physical Review. E·František Slanina
Sep 28, 2017·Physical Review. E·Priodyuti PradhanSarika Jalan
Nov 3, 2017·Chaos·Sarika JalanBibhabasu Patra
Nov 18, 2017·Nature Communications·Saeed OsatFilippo Radicchi
Nov 1, 2014·Physics Reports·S BoccalettiM Zanin

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Citations

Jul 25, 2019·Physical Review. E·Sarika JalanAlok Yadav
Aug 3, 2018·Chaos·Saptarshi Ghosh, Sarika Jalan

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