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. 2018 Mar 22;1:20. doi: 10.1038/s42003-018-0023-9

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© The Author(s) 2018

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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Fig. 4 — Edmonds–Karp style algorithm for fast enumeration of the haplotypes. An Edmonds–Karp style algorithm for fast enumeration of the haplotypes was used to reduce the computational requirements of the graph traversal down to polynomial time. Pseudo code for the algorithm is shown here. The algorithm finds a polynomial size set of paths (plausible haplotypes) from source to sink that cover every edge in the graph (edge and nodes can be visited more than once)