Emergent Mind

Faster parameterized algorithm for Cluster Vertex Deletion

(1901.07609)
Published Jan 22, 2019 in cs.DS

Abstract

In the Cluster Vertex Deletion problem the input is a graph $G$ and an integer $k$. The goal is to decide whether there is a set of vertices $S$ of size at most $k$ such that the deletion of the vertices of $S$ from $G$ results a graph in which every connected component is a clique. We give an algorithm for Cluster Vertex Deletion whose running time is $O*(1.811k)$.

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