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. 2023 Nov 16;13:20040. doi: 10.1038/s41598-023-47167-9

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© The Author(s) 2023

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 licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence 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 licence, visit http://creativecommons.org/licenses/by/4.0/.

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Histograms of $δ_{g}$ and $δ_{l}$ for undirected (symmetrized) networks among 176 village networks. The histograms of enmity and friendship paradoxes are provided in (A,D), respectively. Other panels represent the histograms of mixed-world paradox strengths for the mixed worlds. The histogram in (B) shows the global and local paradox distributions for the difference between the number of a person's enemies and the number of enemies of their friends, while (C) represents the difference between the number of a person's friends and the number of friends of their enemies.