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. 2018 May 8;19(Suppl 6):153. doi: 10.1186/s12859-018-2129-y

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© The Author(s) 2018

Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided 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 Creative Commons Public Domain Dedication waiver (http://creativecommons.org/publicdomain/zero/1.0/) applies to the data made available in this article, unless otherwise stated.

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Fig. 7 — Empirical search space. a |X| is shown for ASTRAL-II and ASTRAL-III for avian-like simulateds dataset with varying numbers of genes. b |X| is shown for ASTRAL-III for several datasets with varying n. c The density plots of $\underset{X}{log} | Y |$ across all ASTRAL-III runs reported in this paper. Size of the dynamic programming space Y is never above |X|^1.312 here