Tight bounds for parameterized complexity of Cluster Editing with a small number of clusters

作者:

Highlights:

• The problem is to partition a graph into cliques by editing a small number of edges.

• We study the problem from the perspective of parameterized complexity.

• We give a parameterized algorithm.

• The running time is subexponential if the target number of clusters is sublinear.

• We show that the running time of our algorithm is tight assuming ETH.

摘要

•The problem is to partition a graph into cliques by editing a small number of edges.•We study the problem from the perspective of parameterized complexity.•We give a parameterized algorithm.•The running time is subexponential if the target number of clusters is sublinear.•We show that the running time of our algorithm is tight assuming ETH.

论文关键词:Cluster editing,Correlation clustering,Parameterized complexity,Subexponential-time algorithms,Exponential-time hypothesis

论文评审过程:Received 3 May 2013, Revised 3 January 2014, Accepted 8 April 2014, Available online 16 April 2014.

论文官网地址:https://doi.org/10.1016/j.jcss.2014.04.015