Faster deterministic algorithms for Co-path Packing and Co-path/cycle Packing

Dekel Tsur

doi:10.1007/s10878-022-00917-3

Faster deterministic algorithms for Co-path Packing and Co-path/cycle Packing

Dekel Tsur

Department of Computer Science

Ben-Gurion University of the Negev

Research output: Contribution to journal › Article › peer-review

Abstract

In the Co-path Packing (resp., Co-path/cycle Packing) problem, the input is a graph G and an integer k, and the goal is to decide whether there is a set of at most k vertices whose removal from G results in a graph which is a collection of induced paths (resp., induced paths and cycles). In this paper we give deterministic O^∗(3 ^k) -time algorithms for Co-path Packing and Co-path/cycle Packing.

Original language	American English
Pages (from-to)	3701-3710
Number of pages	10
Journal	Journal of Combinatorial Optimization
Volume	44
Issue number	5
DOIs	https://doi.org/10.1007/s10878-022-00917-3
State	Published - 1 Dec 2022

Keywords

Branching algorithms
Graph algorithms
Parameterized complexity

All Science Journal Classification (ASJC) codes

Computer Science Applications
Discrete Mathematics and Combinatorics
Control and Optimization
Computational Theory and Mathematics
Applied Mathematics

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10.1007/s10878-022-00917-3

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abstract = "In the Co-path Packing (resp., Co-path/cycle Packing) problem, the input is a graph G and an integer k, and the goal is to decide whether there is a set of at most k vertices whose removal from G results in a graph which is a collection of induced paths (resp., induced paths and cycles). In this paper we give deterministic O∗(3 k) -time algorithms for Co-path Packing and Co-path/cycle Packing.",

keywords = "Branching algorithms, Graph algorithms, Parameterized complexity",

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AB - In the Co-path Packing (resp., Co-path/cycle Packing) problem, the input is a graph G and an integer k, and the goal is to decide whether there is a set of at most k vertices whose removal from G results in a graph which is a collection of induced paths (resp., induced paths and cycles). In this paper we give deterministic O∗(3 k) -time algorithms for Co-path Packing and Co-path/cycle Packing.

KW - Branching algorithms

KW - Graph algorithms

KW - Parameterized complexity

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Faster deterministic algorithms for Co-path Packing and Co-path/cycle Packing

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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