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

Research output: Working paper/PreprintPreprint

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∗(3.945k), O∗(4.947k), and O∗(5.951k), respectively.
Original languageEnglish
StatePublished - 2019

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