A linear time randomized approximation algorithm for Euclidean matching

We study the problem of computing Euclidean minimum weight matching which investigates the minimum weight perfect matching in a complete geometric graph on a set of 2 n points in the plane. We propose a simple randomized approximation algorithm based on the geometrical aspect of the problem with O (...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:The Journal of supercomputing Jg. 75; H. 5; S. 2648 - 2664
Hauptverfasser: Imanparast, Mahdi, Hashemi, Seyed Naser
Format: Journal Article
Sprache:Englisch
Veröffentlicht: New York Springer US 01.05.2019
Springer Nature B.V
Schlagworte:
Algorithms
Approximation
Compilers
Computer Science
Euclidean geometry
Interpreters
Matching
Mathematical analysis
Minimum weight
Processor Architectures
Programming Languages
Randomization
Approximation algorithms
Point sets
Hash table
Expected time
Euclidean matching
ISSN:0920-8542, 1573-0484
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:We study the problem of computing Euclidean minimum weight matching which investigates the minimum weight perfect matching in a complete geometric graph on a set of 2 n points in the plane. We propose a simple randomized approximation algorithm based on the geometrical aspect of the problem with O ( n ) expected time. The proposed algorithm computes a matching within at most 3 factors of the optimal solution. We also do some experimental tests to evaluate the performance of the proposed algorithm which indicate the efficiency of the proposed algorithm in finding the approximate matching in the practice.
Bibliographie:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:0920-8542
1573-0484
DOI:10.1007/s11227-018-2673-2