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In the 4-path vertex cover problem, the input is an undirected graph $G$ andan integer $k$. The goal is to decide whether there is a set of vertices $S$ ofsize at most $k$ such that every path with 4 vertices in $G$ contains at leastone vertex of $S$. In this paper we give a parameterized algorithm for 4-pathvertex cover whose time complexity is $O^*(2.619^k)$.

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