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.
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