Sublinear Fully Distributed Partition with Applications

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 model of compu...

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Vydané v:Theory of computing systems Ročník 47; číslo 2; s. 368 - 404
Hlavní autori: Derbel, Bilel, Mosbah, Mohamed, Zemmari, Akka
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: New York Springer-Verlag 01.08.2010
Springer Nature B.V
Springer Verlag
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ISSN:1432-4350, 1433-0490
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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 model of computation, i.e., limited message size, which improves the time complexity of previous algorithms (Moran and Snir in Theor. Comput. Sci. 243(1–2):217–241, 2000 ; Awerbuch in J. ACM 32:804–823, 1985 ; Peleg in Distributed Computing: A Locality-Sensitive Approach, 2000 ) 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 model.
AbstractList 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.
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 model of computation, i.e., limited message size, which improves the time complexity of previous algorithms (Moran and Snir in Theor. Comput. Sci. 243(1–2):217–241, 2000 ; Awerbuch in J. ACM 32:804–823, 1985 ; Peleg in Distributed Computing: A Locality-Sensitive Approach, 2000 ) 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 model.
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 super(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(Moran and Snir in Theor. Comput. Sci. 243(1-2):217-241, 2000; Awerbuch in J. ACM 32:804-823, 1985; Peleg in Distributed Computing: A Locality-Sensitive Approach, 2000) from O(n) to O(n super(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.
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 ^sup 1+1/k^) intercluster edges. We show how to implement our algorithms in the distributed CONGEST model of computation, i.e., limited message size, which improves the time complexity of previous algorithms (Moran and Snir in Theor. Comput. Sci. 243(1-2):217-241, 2000; Awerbuch in J. ACM 32:804-823, 1985; Peleg in Distributed Computing: A Locality-Sensitive Approach, 2000) from O(n) to O(n ^sup 1-1/k^). We apply our algorithms for constructing low stretch graph spanners and network synchronizers in sublinear deterministic time in the CONGEST model.[PUBLICATION ABSTRACT]
Author Zemmari, Akka
Derbel, Bilel
Mosbah, Mohamed
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CitedBy_id crossref_primary_10_1007_s00446_018_0343_5
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crossref_primary_10_1007_s00446_020_00376_1
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Keywords Sparse partition
Distributed model
Graph spanner
Time complexity
Distributed algorithm
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Snippet We present new efficient deterministic and randomized distributed algorithms for decomposing a graph with n nodes into a disjoint set of connected clusters...
We present new efficient deterministic and randomized distributed algorithms for decomposing a graph with n nodes into a disjoint set of connected clusters...
We present new efficient deterministic and randomized distributed algorithms for decomposing a graph with $n$ nodes into a disjoint set of connected clusters...
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SubjectTerms Algorithms
Clusters
Computation
Computer Science
Construction
Decomposition
Distributed processing
Graphs
Messages
Neighborhoods
Networks
Other
Sparsity
Synchronizers
Theory of Computation
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Title Sublinear Fully Distributed Partition with Applications
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