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 Japanese) | (See Japanese page) |
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. |
Keyword(in Japanese) | (See Japanese page) |
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 |
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Conference Date | 2000/11/2(1days) |
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Registration To | Circuits and Systems (CAS) |
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Language | JPN |
Title (in Japanese) | (See Japanese page) |
Sub Title (in Japanese) | (See Japanese page) |
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 |
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