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

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 p...

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Bibliographic Details
Published in:Journal of combinatorial optimization Vol. 44; no. 5; pp. 3701 - 3710
Main Author: Tsur, Dekel
Format: Journal Article
Language:English
Published: New York Springer US 01.12.2022
Springer Nature B.V
Subjects:
Algorithms
Apexes
Combinatorics
Convex and Discrete Geometry
Graph theory
Mathematical Modeling and Industrial Mathematics
Mathematics
Mathematics and Statistics
Operations Research/Decision Theory
Optimization
Theory of Computation
Parameterized complexity
Branching algorithms
Graph algorithms
ISSN:1382-6905, 1573-2886
Online Access:Get full text
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Summary: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 .
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ISSN:1382-6905
1573-2886
DOI:10.1007/s10878-022-00917-3