| Project/Area Number |
26330010
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Multi-year Fund |
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| Section | 一般 |
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| Research Field |
Theory of informatics
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| Research Institution | Toyohashi University of Technology |
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Principal Investigator |
Fujito Toshihiro 豊橋技術科学大学, 工学(系)研究科(研究院), 教授 (00271073)
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| Co-Investigator(Kenkyū-buntansha) |
藤原 洋志 信州大学, 学術研究院工学系, 准教授 (80434893)
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| Project Period (FY) |
2014-04-01 – 2018-03-31
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| Project Status |
Completed (Fiscal Year 2017)
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| Budget Amount *help |
¥4,680,000 (Direct Cost: ¥3,600,000、Indirect Cost: ¥1,080,000)
Fiscal Year 2016: ¥2,080,000 (Direct Cost: ¥1,600,000、Indirect Cost: ¥480,000)
Fiscal Year 2015: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2014: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
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| Keywords | アルゴリズム / 組合せ最適化 / 近似保証 / 近似アルゴリズム / 頂点除去問題 / 辺支配集合問題 / 辺支配集合 / 多重辺支配集合 / 連結辺支配集合 / 分散アルゴリズム / 頂点被覆 / ハフマン符号化 / 最適二分木 / 頂点被覆数 / 初等的二部グラフ / スキーレンタル問題 / オンラインアルゴリズム / 競合比 |
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| Outline of Final Research Achievements |
1. Some NP-hard optimization problems on graphs and networks have been considered such as bounded degree deletion, connected 2-edge dominating set, and connected path vertex cover. A new algorithm is designed and an improved approximation guarantee is obtained for each of those problems considered.
2. A local algorithm is a deterministic distributed algorithm in an anonymous port-numbered network running in a constant number of synchronous rounds, and this study shows that 2-edge dominating set and 3-total vertex cover are approximable within 2 and 3, respectively, by local algorithms.
3. It is required in the eternal vertex cover problem to compute the minimum number of guards to be placed on vertices of a given graph G such that they can repel any sequence of attacks on edges in G. It is shown to be polynomial to compute the eternal vertex cover number when G is constructed by replacing edges of a tree by cliques (or by elementary bipartite grees).
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