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. 2018 Jul 2;8:9910. doi: 10.1038/s41598-018-28236-w

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© The Author(s) 2018

Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/.

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Spectral properties of Complex Network Manifolds. Panel (a) shows the cumulative distribution of eigenvalues ρ_c(λ) for CNMs of dimension d = 2, 3, 4. Solid (black) lines indicate the power-law fit of ρ_c(λ). Panel (b) shows the cumulative distribution P_c(Y) of the participation ratio Y of the CNM modes (legend is the same as in panel (a)). Data are extracted from a single realization of CNMs of size N = 6400.