Title
Solving the tree containment problem in linear time for nearly stable phylogenetic networks.
Abstract
A phylogenetic network is a rooted acyclic digraph whose leaves are uniquely labeled with a set of taxa. The tree containment problem asks whether or not a phylogenetic network displays a phylogenetic tree over the same set of labeled leaves. It is a fundamental problem arising from validation of phylogenetic network models. The tree containment problem is NP-complete in general. To identify network classes on which the problem is polynomial time solvable, we introduce two classes of networks by generalizations of tree-child networks through vertex stability, namely nearly stable networks and genetically stable networks. Here, we study the combinatorial properties of these two classes of phylogenetic networks. We also develop a linear-time algorithm for solving the tree containment problem on binary nearly stable networks.
Year
DOI
Venue
2018
10.1016/j.dam.2017.07.015
Discrete Applied Mathematics
Keywords
Field
DocType
Phylogenetic trees,Phylogenetic networks,Tree containment,Reticulation visibility,Nearly stable networks,Genetically stable networks
Discrete mathematics,Combinatorics,Phylogenetic tree,Vertex (geometry),Generalization,Time complexity,Taxon,Mathematics,Digraph,Phylogenetic network,Binary number
Journal
Volume
ISSN
Citations 
246
0166-218X
1
PageRank 
References 
Authors
0.38
10
5
Name
Order
Citations
PageRank
Philippe Gambette1779.61
Andreas D. M. Gunawan2336.84
Anthony Labarre3699.62
Stéphane Vialette464848.10
Louxin Zhang589096.47