Kernelization and Parameterized Algorithms for 3-Path Vertex Cover

Mingyu Xiao; Shaowei Kou

doi:10.1007/978-3-319-55911-7_47

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arXiv · 1608.07022

Kernelization and Parameterized Algorithms for 3-Path Vertex Cover

Mingyu Xiao·Shaowei Kou

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Abstract

A 3-path vertex cover in a graph is a vertex subset $C$ such that every path of three vertices contains at least one vertex from $C$. The parameterized 3-path vertex cover problem asks whether a graph has a 3-path vertex cover of size at most $k$. In this paper, we give a kernel of $5k$ vertices and an $O^*(1.7485^k)$-time and polynomial-space algorithm for this problem, both new results improve previous known bounds.

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BibTeX RIS

Mingyu Xiao, Shaowei Kou. 2016-08-25. Kernelization and Parameterized Algorithms for 3-Path Vertex Cover. https://doi.org/10.1007/978-3-319-55911-7_47

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