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. 2020 Feb 24;10:3297. doi: 10.1038/s41598-020-60151-x

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© The Author(s) 2020

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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Intrinsic relevance-embedding edge betweenness when a hospital is present in the vertex 10. Its intrinsic relevance is ten times its demand. The proposed edge betweenness again identifies pipe 34 as the most important, but the main path in the network changes in favor of those connecting the source node and the hospital.