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- W2140097968 abstract "We consider the distributed complexity of the stable marriage problem. In this problem, the communication graph is undirected and bipartite, and each node ranks its neighbors. Given a matching of the nodes, a pair of nodes is called blocking if they prefer each other to their assigned match. A matching is called stable if it does not induce any blocking pair. In the distributed model, nodes exchange messages in each round over the communication links, until they find a stable matching. We show that if messages may contain at most B bits each, then any distributed algorithm that solves the stable marriage problem requires Omega(sqrt(n/(B log n))) communication rounds in the worst case, even for graphs of diameter Theta (log n), where n is the number of nodes in the graph. Furthermore, the lower bound holds even if we allow the output to contain O(sqrt(n)) blocking pairs. We also consider epsilon-stability, where a pair is called epsilon-blocking if they can improve the quality of their match by more than an epsilon fraction, for some 0" @default.
- W2140097968 created "2016-06-24" @default.
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- W2140097968 date "2009-06-01" @default.
- W2140097968 modified "2023-10-17" @default.
- W2140097968 title "A Note on Distributed Stable Matching" @default.
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- W2140097968 doi "https://doi.org/10.1109/icdcs.2009.69" @default.
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