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. 2019 Sep 10;9:12949. doi: 10.1038/s41598-019-49098-w

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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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Link missing essential genes in pathway. An illustrative example of the ‘remapping’ algorithm processed on the KEGG pathway map with 10 hypothetical compounds. The left panel represents the map and matrix (S) before the rescoring. In the old map (left panel), the blue edges are non-essential genes, while the red ones are essential genes. The elements in the matrix (S) show the existence and essentiality of the reaction between the two corresponding compounds. The colored elements highlight how the DFS algorithm searches for the linked edges for the first edge. The yellow boxes are the linked edges and the red boxes are the discarded edges. The right panel shows the new map and the updated matrix (S’). Note that in the new map, edges (2–3) and (6–7) are considered as the missing EGs and are labeled red. The S’ provides the final score for each edge, which serves as the basis for EG determination.