Print Email Facebook Twitter Exploring the Tiers of Rooted Phylogenetic Network Space Using Tail Moves Title Exploring the Tiers of Rooted Phylogenetic Network Space Using Tail Moves Author Janssen, R. (TU Delft Discrete Mathematics and Optimization) Jones, M.E.L. (TU Delft Discrete Mathematics and Optimization) Erdős, Péter L. (MTA Rényi Institute of Mathematics) van Iersel, L.J.J. (TU Delft Discrete Mathematics and Optimization) Scornavacca, Celine (Université de Montpellier) Date 2018 Abstract Popular methods for exploring the space of rooted phylogenetic trees use rearrangement moves such as rooted Nearest Neighbour Interchange (rNNI) and rooted Subtree Prune and Regraft (rSPR). Recently, these moves were generalized to rooted phylogenetic networks, which are a more suitable representation of reticulate evolutionary histories, and it was shown that any two rooted phylogenetic networks of the same complexity are connected by a sequence of either rSPR or rNNI moves. Here, we show that this is possible using only tail moves, which are a restricted version of rSPR moves on networks that are more closely related to rSPR moves on trees. The connectedness still holds even when we restrict to distance-1 tail moves (a localized version of tail moves). Moreover, we give bounds on the number of (distance-1) tail moves necessary to turn one network into another, which in turn yield new bounds for rSPR, rNNI and SPR (i.e. the equivalent of rSPR on unrooted networks). The upper bounds are constructive, meaning that we can actually find a sequence with at most this length for any pair of networks. Finally, we show that finding a shortest sequence of tail or rSPR moves is NP-hard. Subject DiameterHead-move operationNetwork spacePhylogenetic networkRearrangementTail-move operation To reference this document use: http://resolver.tudelft.nl/uuid:e530fd90-7b83-4fe8-b13f-7704215af483 DOI https://doi.org/10.1007/s11538-018-0452-0 ISSN 0092-8240 Source Bulletin of Mathematical Biology, 80 (8), 2177-2208 Part of collection Institutional Repository Document type journal article Rights © 2018 R. Janssen, M.E.L. Jones, Péter L. Erdős, L.J.J. van Iersel, Celine Scornavacca Files PDF 10.1007_s11538_018_0452_0.pdf 1.34 MB Close viewer /islandora/object/uuid:e530fd90-7b83-4fe8-b13f-7704215af483/datastream/OBJ/view