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arXiv · 1906.10523

l-path vertex cover is easier than l-hitting set for small l

Dekel Tsur
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Abstract

In the $l$-path vertex cover problem the input is an undirected 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 $G-S$ does not contain a path with $l$ vertices. In this paper we give parameterized algorithms for $l$-path vertex cover for $l = 5,6,7$, whose time complexities are $O^*(3.945^k)$, $O^*(4.947^k)$, and $O^*(5.951^k)$, respectively.

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Dekel Tsur. 2019-06-22. l-path vertex cover is easier than l-hitting set for small l. https://arxiv.org/abs/1906.10523

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