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An efficient distributed algorithm for maximum matching in general graphs
Authors:Michael M Wu 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
Abstract:We present a distributed algorithm for maximum cardinality matching in general graphs. On a general graph withn vertices, our algorithm requiresO(n 5/2) messages in the worst case. On trees, our algorithm computes a maximum matching usingO(n) messages after the election of a leader.Work on this paper has been supported by the Office of Naval Research under Contract N00014-85-K-0570.
Keywords:Matching  Distributed algorithms  Graph algorithms  Combinatorial optimization
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