English

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

Data Structures and Algorithms 2019-01-08 v2

Abstract

In the 4-path vertex cover problem, the input is an undirected graph GG and an integer kk. The goal is to decide whether there is a set of vertices SS of size at most kk such that every path with 4 vertices in GG contains at least one vertex of SS. In this paper we give a parameterized algorithm for 4-path vertex cover whose time complexity is O(2.619k)O^*(2.619^k).

Keywords

Cite

@article{arxiv.1811.03592,
  title  = {An O^*(2.619^k) algorithm for 4-path vertex cover},
  author = {Dekel Tsur},
  journal= {arXiv preprint arXiv:1811.03592},
  year   = {2019}
}
R2 v1 2026-06-23T05:09:26.114Z