The maximal matching problem has received considerable attention in the self-stabilizing community. Previous work has given several self-stabilizing algorithms that solve the problem for both the adversarial and the fair distributed daemon, the sequential adversarial daemon, as well as the synchronous daemon. In the following we present a single self-stabilizing algorithm for this problem that unites all of these algorithms in that it has the same time complexity as the previous best algorithms for the sequential adversarial, the distributed fair, and the synchronous daemon. In addition, the algorithm improves the previous best time complexities for the distributed adversarial daemon from O(n^2) and O(@dm) to O(m) where n is the number of processes, m is the number of edges, and @d is the maximum degree in the graph.
A new self-stabilizing maximal matching algorithm
F. Manne,Morten Mjelde,Laurence Pilard,S. Tixeuil
Published 2007 in Theoretical Computer Science
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- Publication year
2007
- Venue
Theoretical Computer Science
- Publication date
2007-01-30
- Fields of study
Mathematics, Computer Science
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