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. 2019 Oct 4;9:14330. doi: 10.1038/s41598-019-50881-y

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© The Author(s) 2019

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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Rich-club organization and between group differences in rich-club coefficients for patients and relatives. The (A) shows the rich-club coefficient values Φ_(k) (k is the degree of a node) and group-specific normalized rich-club coefficient Φ_norm(k) curves for the group-averaged brain network. The rich-club regime is indicated by the dark gray area, which is defined by a significant difference of Φ_norm(k) from the random null distribution (permutation test, p = 0.05, Bonferroni corrected). (B,C) show significant between-group differences (as indicated by the corresponding symbols), computed for each k (permutation test). All depicted significant comparisons survived the adjusted false discovery rate (FDR) of p = 0.05.