# Sublinear Fully Distributed Partition with Applications

2 DOLPHIN - Parallel Cooperative Multi-criteria Optimization
LIFL - Laboratoire d'Informatique Fondamentale de Lille, Inria Lille - Nord Europe
Abstract : We present new efficient deterministic and randomized distributed algorithms for decomposing a graph with $n$ nodes into a disjoint set of connected clusters with radius at most $k-1$ and having $O(n^{1+1/k})$ intercluster edges. We show how to implement our algorithms in the distributed $\mathcal{CONGEST}$ model of computation, i.e., limited message size, which improves the time complexity of previous algorithms~\cite{MS00,Awe85,Peleg00b} from $O(n)$ to $O(n^{1-1/k})$. We apply our algorithms for constructing low stretch graph spanners and network synchronizers in sublinear deterministic time in the $\mathcal{CONGEST}$ model.
Document type :
Journal articles
Domain :

https://hal.archives-ouvertes.fr/hal-00351045
Contributor : Akka Zemmari <>
Submitted on : Thursday, January 8, 2009 - 11:53:37 AM
Last modification on : Thursday, February 21, 2019 - 10:52:49 AM

### Citation

Bilel Derbel, Mohamed Mosbah, Akka Zemmari. Sublinear Fully Distributed Partition with Applications. Theory of Computing Systems, Springer Verlag, 2010, 47 (3), pp.368-404. ⟨10.1007/s00224-009-9190-x⟩. ⟨hal-00351045⟩

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