Title
Exploring the tiers of rooted phylogenetic network space using tail moves.
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.
Year
DOI
Venue
2017
10.1007/s11538-018-0452-0
Bulletin of mathematical biology
Keywords
Field
DocType
Diameter,Head-move operation,Network space,Phylogenetic network,Rearrangement,Tail-move operation
Discrete mathematics,Combinatorics,Social connectedness,Nearest neighbour,Phylogenetic tree,Constructive,Tree (data structure),Mathematics,Phylogenetic network
Journal
Volume
Issue
ISSN
abs/1708.07656
8
0092-8240
Citations 
PageRank 
References 
1
0.39
3
Authors
5
Name
Order
Citations
PageRank
Remie Janssen110.39
Mark Jones210.72
Péter L. Erdös326746.75
Leo van Iersel421524.58
Celine Scornavacca521618.80