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Durham Research Online
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Reticulation-visible networks.

Bordewich, Magnus and Semple, Charles (2016) 'Reticulation-visible networks.', Advances in applied mathematics., 78 . pp. 114-141.

Abstract

Let X be a finite set, N be a reticulation-visible network on X , and T be a rooted binary phylogenetic tree. We show that there is a polynomial-time algorithm for deciding whether or not N displays T. Furthermore, for all |X|≥1, we show that N has at most 8|X|−7 vertices in total and at most 3|X|−3 reticulation vertices, and that these upper bounds are sharp.

Item Type:Article
Full text:(AM) Accepted Manuscript
Available under License - Creative Commons Attribution Non-commercial No Derivatives.
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Status:Peer-reviewed
Publisher Web site:https://doi.org/10.1016/j.aam.2016.04.004
Publisher statement:© 2016 This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/
Date accepted:13 April 2016
Date deposited:20 April 2016
Date of first online publication:27 April 2016
Date first made open access:27 April 2017

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