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arxiv: 1811.03592 · v2 · pith:OFUTIOAMnew · submitted 2018-11-08 · 💻 cs.DS

An O^*(2.619^k) algorithm for 4-path vertex cover

classification 💻 cs.DS
keywords pathvertexcoveralgorithmverticescomplexitycontainsdecide
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In the 4-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 every path with 4 vertices in $G$ contains at least one vertex of $S$. In this paper we give a parameterized algorithm for 4-path vertex cover whose time complexity is $O^*(2.619^k)$.

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Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

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

    cs.DS 2019-06 unverdicted novelty 5.0

    Gives FPT algorithms for l-path vertex cover achieving bases 3.945, 4.947 and 5.951 for l=5,6,7.