2013 Fiscal Year Final Research Report
High-Level Processing of Huge-Scale Networks: Challenges from Graph Decomposition Theory to Practically Efficient Algorithms
| Project/Area Number |
24650003
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| Research Category |
Grant-in-Aid for Challenging Exploratory Research
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| Allocation Type | Single-year Grants |
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| Research Field |
Fundamental theory of informatics
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| Research Institution | The University of Tokyo |
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Principal Investigator |
IMAI Hiroshi 東京大学, 情報理工学(系)研究科, 教授 (80183010)
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| Project Period (FY) |
2012-04-01 – 2014-03-31
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| Keywords | アルゴリズム理論 / グラフマイナー理論 / 指数時間アルゴリズム / ビッグデータ |
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| Research Abstract |
For huge-scale networks such as Web link graph, social network and map road network, we aim at developing fast and high-level graph data processing based on graph minor theory and related filed, together with deriving new fundamental results in those fields. Specifically, we develop a new graph decomposition, called a core-tree decomposition, as a model for complex networks, and by making use of this model with its nice characteristics, we devise new fast algorithms for shortest-path queries and reachability queries on these huge-scale social networks. Exact exponential algorithms are also investigated to enhance the wide use of exact solutions of moderately large graphs for NP-hard intractable problems by presenting a class of tractable problems having small graph parameters which hold for large social networks. Some applications to quantum computing are also shown.
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