Title
Solving the Tree Containment Problem for Genetically Stable Networks in Quadratic Time.
Abstract
A phylogenetic network is a rooted acyclic digraph whose leaves are labeled with a set of taxa. The tree containment problem is a fundamental problem arising from model validation in the study of phylogenetic networks. It asks to determine whether or not a given network displays a given phylogenetic tree over the same leaf set. It is known to be NP-complete in general. Whether or not it remains NP-complete for stable networks is an open problem. We make progress towards answering that question by presenting a quadratic time algorithm to solve the tree containment problem for a new class of networks that we call genetically stable networks, which include tree-child networks and comprise a subclass of stable networks.
Year
Venue
Field
2015
IWOCA
Discrete mathematics,Combinatorics,Phylogenetic tree,Open problem,Subclass,Binary tree,Time complexity,Taxon,Digraph,Mathematics,Phylogenetic network
DocType
Citations 
PageRank 
Conference
4
0.48
References 
Authors
3
5
Name
Order
Citations
PageRank
Philippe Gambette1779.61
Andreas D. M. Gunawan2336.84
Anthony Labarre3699.62
Stéphane Vialette464848.10
Louxin Zhang589096.47