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. 2023 Dec 2;13:21294. doi: 10.1038/s41598-023-48718-w

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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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Co-occurrence between microbes based on betweenness centrality (BNC) and clustering coefficient (CC). Each plot shows the intersection between BNC and CC values. Only most prominent genera of bacteria are included. The X-axis is BNC (Betweenness Centrality) and the Y-axis is CC (Clustering Coefficient). Microbial genera located at the bottom right of the plot have the lowest co-occurrence rates compared to other genera (low CC), meaning they are at the center of the network topology (high BNC).