Title
Kernelizations for the Hybridization Number Problem on Multiple Nonbinary Trees.
Abstract
Given a finite set X, a collection T of rooted phylogenetic trees on X and an integer k, the Hybridization Number problem asks if there exists a phylogenetic network on X that displays all trees from T and has reticulation number at most k. We show two kernelization algorithms for Hybridization Number, with kernel sizes 4 k ( 5 k ) t and 20 k 2 ( Δ + - 1 ) respectively, with t the number of input trees and Δ + their maximum outdegree. Experiments on simulated data demonstrate the practical relevance of our kernelization algorithms. In addition, we present an n f ( k ) t -time algorithm, with n = | X | and f some computable function of k. We study constructing a network displaying a given collection of phylogenetic trees.Our kernelization techniques work for inputs consisting of multiple binary trees.Previous results were restricted to two trees and/or binary trees.A unified and simplified approach for dealing with common chains of nonbinary trees.Polynomial-time solvability with fixed number of reticulations.
Year
DOI
Venue
2013
10.1016/j.jcss.2016.03.006
J. Comput. Syst. Sci.
Keywords
DocType
Volume
Fixed-parameter tractability,Kernelization,Phylogenetic tree,Phylogenetic network,Hybridization number
Journal
82
Issue
ISSN
Citations 
6
0022-0000
8
PageRank 
References 
Authors
0.57
18
3
Name
Order
Citations
PageRank
Leo van Iersel121524.58
Steven Kelk219325.60
Celine Scornavacca321618.80