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arXiv · 2008.09660

Deletion to Induced Matching

Akash Kumar·Mithilesh Kumar
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Abstract

In the DELETION TO INDUCED MATCHING problem, we are given a graph $G$ on $n$ vertices, $m$ edges and a non-negative integer $k$ and asks whether there exists a set of vertices $S \subseteq V(G) $ such that $|S|\le k$ and the size of any connected component in $G-S$ is exactly 2. In this paper, we provide a fixed-parameter tractable (FPT) algorithm of running time $O^*(1.748^{k})$ for the DELETION TO INDUCED MATCHING problem using branch-and-reduce strategy and path decomposition. We also extend our work to the exact-exponential version of the problem.

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Akash Kumar, Mithilesh Kumar. 2020-08-21. Deletion to Induced Matching. https://arxiv.org/abs/2008.09660

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