Faster exact algorithms for some terminal set problems

作者:

Highlights:

• A general methodology to obtain faster exact exponential time algorithms well-studied terminal set problems is presented.

• It combines polynomial time, fixed parameter tractable and exact exponential time algorithms for the non-terminal versions.

• We break the O⁎(2n) barrier for the classic Node Multiway Cut and Directed Subset Feedback Vertex Set problems.

摘要

•A general methodology to obtain faster exact exponential time algorithms well-studied terminal set problems is presented.•It combines polynomial time, fixed parameter tractable and exact exponential time algorithms for the non-terminal versions.•We break the O⁎(2n) barrier for the classic Node Multiway Cut and Directed Subset Feedback Vertex Set problems.

论文关键词:Exact exponential time algorithms,Terminal set problems,Multiway cut,Feedback vertex set

论文评审过程:Received 17 August 2015, Revised 29 September 2016, Accepted 12 April 2017, Available online 4 May 2017, Version of Record 11 June 2017.

论文官网地址:https://doi.org/10.1016/j.jcss.2017.04.003