k-distinct in- and out-branchings in digraphs

作者:

Highlights:

• Existence of out- and in-branchings which differ in at least k arcs is studied from parameterized complexity point of view.

• Problems were posed by Bang-Jensen and Yeo (2008) and Bang-Jensen et al. (2016).

• The problems are solved by showing fixed-parameter tractability of both problems.

• A new decomposition of digraphs is suggested.

摘要

•Existence of out- and in-branchings which differ in at least k arcs is studied from parameterized complexity point of view.•Problems were posed by Bang-Jensen and Yeo (2008) and Bang-Jensen et al. (2016).•The problems are solved by showing fixed-parameter tractability of both problems.•A new decomposition of digraphs is suggested.

论文关键词:Branching,Leaf,Decomposition,Fixed-parameter tractable

论文评审过程:Received 23 August 2017, Revised 10 January 2018, Accepted 12 January 2018, Available online 7 March 2018, Version of Record 30 April 2018.

论文官网地址:https://doi.org/10.1016/j.jcss.2018.01.003