Kernelizations for the hybridization number problem on multiple nonbinary trees

作者:

Highlights:

• 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.

摘要

•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.

论文关键词:Fixed-parameter tractability,Kernelization,Phylogenetic tree,Phylogenetic network,Hybridization number

论文评审过程:Received 10 July 2014, Revised 5 January 2016, Accepted 15 March 2016, Available online 31 March 2016, Version of Record 10 June 2016.

论文官网地址:https://doi.org/10.1016/j.jcss.2016.03.006