Presentation 2000/11/2
An Efficient Distributed Algorithm DECA-1 for the (σ+1)-Edge-Connectivity Augmentation Problem of Communication Networks
Yasuhiro Kurose, Toshiyuki Okamoto, Satoshi Taoka, Toshimasa Watanabe,
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Abstract(in English) The graph of a given communication network is a graph G = (V, E) obtained by representing each node and each link of this network as a vertex and an edges, respectively. The (σ+1)-edge-connectivity augmentation problem of communication networks ((σ+1)ECAN) is the problem of finding a minimum set of edges (links) E′ such that (V, E∪E′) is (σ+1)-edge-connected when the graph G = (V, E) of a given network is σ-edge-connected. A distributed algorithm for the problem means finding a solution by communication through a given network. This paper first shows how to obtain a solution E′ to (σ+1)ECAN such that, for any minimum cut of G, E′ contains constant number of edges crossing this cut. Then, as an application of this result, we propose a distributed one DECA - 1, with time complexity T = O(T(|V|, |E|)+|V|) and communication complexity C = O(C(|V|, |E|)+|E|), for (σ+1)ECAN with σ ≥ 1 and G satisfying certain conditions, where T(|V|, |E|) or C(|V|, |E|) denotes time complexity or communication complexity of any distributed algorithm, for finding all (σ+1)-edge-connected components S of G: in particular, T = O(|V|), and C = O(|E|) for σ = 1.
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Keyword(in English) (σ+1)-edge-connectivity augmentation problems / Distributed algorithms / Communication networks / Time complexity / Communication complexity
Paper # CAS 2000-62,CST 2000-17
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Committee CAS
Conference Date 2000/11/2(1days)
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Language JPN
Title (in Japanese) (See Japanese page)
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Title (in English) An Efficient Distributed Algorithm DECA-1 for the (σ+1)-Edge-Connectivity Augmentation Problem of Communication Networks
Sub Title (in English)
Keyword(1) (σ+1)-edge-connectivity augmentation problems
Keyword(2) Distributed algorithms
Keyword(3) Communication networks
Keyword(4) Time complexity
Keyword(5) Communication complexity
1st Author's Name Yasuhiro Kurose
1st Author's Affiliation Graduate School of Engineering, Hiroshima University()
2nd Author's Name Toshiyuki Okamoto
2nd Author's Affiliation Graduate School of Engineering, Hiroshima University
3rd Author's Name Satoshi Taoka
3rd Author's Affiliation Department of Circuits and Systems, Faculty of Engineering, Hiroshima University
4th Author's Name Toshimasa Watanabe
4th Author's Affiliation Department of Circuits and Systems, Faculty of Engineering, Hiroshima University
Date 2000/11/2
Paper # CAS 2000-62,CST 2000-17
Volume (vol) vol.100
Number (no) 415
Page pp.pp.-
#Pages 6
Date of Issue