Parameterized algorithm for 3-path vertex cover

TL;DR

This paper presents a faster parameterized algorithm for the 3-path vertex cover problem, reducing the time complexity to improve efficiency in solving this graph problem.

Contribution

The paper introduces a new parameterized algorithm with improved time complexity for the 3-path vertex cover problem.

Findings

Algorithm runs in $O^*(1.713^k)$ time

Faster than previous algorithms for the same problem

Provides a more efficient solution for 3-path vertex cover

Abstract

In the 3-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 3 vertices in $G$ contains at least one vertex of $S$. In this paper we give parameterized algorithm for 3-path cover whose time complexity is $O^*(1.713^k)$. Our algorithm is faster than previous algorithms for this problem.