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

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

3 Scopus citations

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	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

ASJC Scopus subject areas

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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title = "Faster deterministic algorithms for Co-path Packing and Co-path/cycle Packing",

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",

author = "Dekel Tsur",

note = "Publisher Copyright: {\textcopyright} 2022, The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature.",

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N2 - 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.

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

UR - https://www.scopus.com/pages/publications/85139219511

U2 - 10.1007/s10878-022-00917-3

DO - 10.1007/s10878-022-00917-3

M3 - Article

AN - SCOPUS:85139219511

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JF - Journal of Combinatorial Optimization

IS - 5

ER -

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

Abstract

Keywords

ASJC Scopus subject areas

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