Approximation algorithms for orthogonal line centers

The problem of k orthogonal line center is about computing a set of k axis-parallel lines for a given set of points in ℜ2 such that the maximum among the distances between each point to its nearest line is minimized. A 2-factor approximation algorithm and a (53,32) bi-criteria approximation algorith...

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Veröffentlicht in:Discrete Applied Mathematics Jg. 338; S. 69 - 76
Hauptverfasser: Das, Arun Kumar, Das, Sandip, Mukherjee, Joydeep
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Elsevier B.V 30.10.2023
Schlagworte:
Bi-criteria approximation
Combinatorial optimization
Facility location
Geometric optimization
Orthogonal line centers
Facility location
Geometric optimization
Combinatorial optimization
Bi-criteria approximation
Orthogonal line centers
ISSN:0166-218X, 1872-6771
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Zusammenfassung:The problem of k orthogonal line center is about computing a set of k axis-parallel lines for a given set of points in ℜ2 such that the maximum among the distances between each point to its nearest line is minimized. A 2-factor approximation algorithm and a (53,32) bi-criteria approximation algorithm is presented for the problem. Both of them are deterministic approximation algorithms using combinatorial techniques and having sub-quadratic running times.
ISSN:0166-218X
1872-6771
DOI:10.1016/j.dam.2023.05.014