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The general maximum matching algorithm of micali and vazirani
Authors:Paul A Peterson and Michael C Loui
Affiliation:(1) Department of Electrical and Computer Engineering and Coordinated Science Laboratory, University of Illinois at Urbana-Champaign, 61801 Urbana, IL, USA;(2) Present address: NCR Corporation, 1601 South Main Street, 45479 Dayton, OH, USA
Abstract:We give a clear exposition of the algorithm of Micali and Vazirani for computing a maximum matching in a general graph. This is the most efficient algorithm known for general matching. On a graph withn vertices andm edges this algorithm runs inO(n 1/2 m) time.Work on this paper has been supported by the Office of Naval Research under Contract N00014-85-K-0570 and by the Eastman Kodak Company.
Keywords:Matching  Graph algorithm  Combinatorial optimization
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