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. 2017 Jan 31;8:14223. doi: 10.1038/ncomms14223

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Copyright © 2017, The Author(s)

This work is licensed under a Creative Commons Attribution 4.0 International License. The images or other third party material in this article are included in the article's Creative Commons license, unless indicated otherwise in the credit line; if the material is not included under the Creative Commons license, users will need to obtain permission from the license holder to reproduce the material. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/

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(a) Fraction of articulation points versus relative size of the residual giant bicomponent is plotted for a wide range of real networks, from infrastructure networks to technological, biological, and social networks. Most of the real networks analysed here have either a very small residual giant bicomponent or a rather big one (highlighted in light magenta and turquoise, separately). (b,c) Fraction of articulation points and relative size of the residual giant bicomponent , obtained from the fully randomized counterparts of the real networks, compared with the exact values ( and ). (d,e) Fraction of articulation points and relative size of the residual giant bicomponent , calculated from the degree-preserving randomized counterparts of the real networks, compared with the exact values ( and ). In b–e, all data points and error bars (standard error of the mean or s.e.m.) are determined from 100 realizations of the randomized networks, and the dashed lines (y=x) are guide for eyes. For detailed description of these real networks and their references, see Supplementary Note 7; Supplementary Tables 1–14.

Inline graphic — (a) Fraction of articulation points versus relative size of the residual giant bicomponent is plotted for a wide range of real networks, from infrastructure networks to technological, biological, and social networks. Most of the real networks analysed here have either a very small residual giant bicomponent or a rather big one (highlighted in light magenta and turquoise, separately). (b,c) Fraction of articulation points and relative size of the residual giant bicomponent , obtained from the fully randomized counterparts of the real networks, compared with the exact values ( and ). (d,e) Fraction of articulation points and relative size of the residual giant bicomponent , calculated from the degree-preserving randomized counterparts of the real networks, compared with the exact values ( and ). In b–e, all data points and error bars (standard error of the mean or s.e.m.) are determined from 100 realizations of the randomized networks, and the dashed lines (y=x) are guide for eyes. For detailed description of these real networks and their references, see Supplementary Note 7; Supplementary Tables 1–14.