# A self-stabilizing 2/3-approximation algorithm for the maximum matching problem

1 NPA - Networks and Performance Analysis
LIP6 - Laboratoire d'Informatique de Paris 6
Abstract : The matching problem asks for a large set of disjoint edges in a graph. It is a problem that has received considerable attention in both the sequential and self-stabilizing literature. Previous work has resulted in self-stabilizing algorithms for computing a maximal ($\frac{1}{2}$-approximation) matching in a general graph, as well as computing a $\frac{2}{3}$-approximation on more specific graph types. In the following we present the first self-stabilizing algorithm for finding a $\frac{2}{3}$-approximation to the maximum matching problem in a general graph. We show that our new algorithm when run under the distributed adversarial daemon, stabilizes after at most $O(n^2)$ rounds. However, it might still use an exponential number of time steps.
Document type :
Journal articles
Domain :

https://hal.archives-ouvertes.fr/hal-01154122
Contributor : Lip6 Publications <>
Submitted on : Thursday, May 21, 2015 - 10:50:01 AM
Last modification on : Monday, May 6, 2019 - 11:49:49 AM

### Citation

Fredrik Manne, Morten Mjelde, Laurence Pilard, Sébastien Tixeuil. A self-stabilizing 2/3-approximation algorithm for the maximum matching problem. Theoretical Computer Science, Elsevier, 2011, 412 (40), pp.5515-5526. ⟨10.1016/j.tcs.2011.05.019⟩. ⟨hal-01154122⟩

Record views