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A simple approximation algorithm for the weighted matching problem
Authors:Doratha E Drake
Affiliation:Institut für Informatik, Humboldt-Universität zu Berlin, 10099 Berlin, Germany
Abstract:We present a linear time approximation algorithm with a performance ratio of 1/2 for finding a maximum weight matching in an arbitrary graph. Such a result is already known and is due to Preis STACS'99, Lecture Notes in Comput. Sci., Vol. 1563, 1999, pp. 259-269]. Our algorithm uses a new approach which is much simpler than the one given by Preis and needs no amortized analysis for its running time.
Keywords:Approximation algorithms  Analysis of algorithms  Graph algorithms  Maximum weight matching
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