Title
A quadratic kernel for computing the hybridization number of multiple trees
Abstract
It has recently been shown that the NP-hard problem of calculating the minimum number of hybridization events that is needed to explain a set of rooted binary phylogenetic trees by means of a hybridization network is fixed-parameter tractable if an instance of the problem consists of precisely two such trees. In this paper, we show that this problem remains fixed-parameter tractable for an arbitrarily large set of rooted binary phylogenetic trees. In particular, we present a quadratic kernel.
Year
DOI
Venue
2013
10.1016/j.ipl.2013.02.010
Inf. Process. Lett.
Keywords
Field
DocType
rooted binary phylogenetic tree,fixed-parameter tractable,large set,multiple tree,hybridization number,minimum number,hybridization event,np-hard problem,hybridization network,quadratic kernel,hybridization,generator,phylogenetic network,computational complexity,kernel
Kernel (linear algebra),Discrete mathematics,Combinatorics,Phylogenetic tree,Quadratic equation,Arbitrarily large,Mathematics,Binary number,Phylogenetic network,Computational complexity theory
Journal
Volume
Issue
ISSN
113
9
0020-0190
Citations 
PageRank 
References 
5
0.48
13
Authors
2
Name
Order
Citations
PageRank
Leo van Iersel121524.58
Simone Linz211214.50