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High-Level Processing of Huge-Scale Networks: Challenges from Graph Decomposition Theory to Practically Efficient Algorithms

Research Project

Project/Area Number 24650003
Research Category

Grant-in-Aid for Challenging Exploratory Research

Allocation TypeSingle-year Grants
Research Field Fundamental theory of informatics
Research InstitutionThe University of Tokyo

Principal Investigator

IMAI Hiroshi  東京大学, 情報理工学(系)研究科, 教授 (80183010)

Project Period (FY) 2012-04-01 – 2014-03-31
Project Status Completed (Fiscal Year 2013)
Budget Amount *help
¥3,900,000 (Direct Cost: ¥3,000,000、Indirect Cost: ¥900,000)
Fiscal Year 2013: ¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
Fiscal Year 2012: ¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
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
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.

Report

(3 results)
  • 2013 Annual Research Report   Final Research Report ( PDF )
  • 2012 Research-status Report
  • Research Products

    (44 results)

All 2014 2013 2012 Other

All Journal Article (18 results) (of which Peer Reviewed: 18 results,  Open Access: 1 results,  Acknowledgement Compliant: 1 results) Presentation (26 results)

  • [Journal Article] Parametric Multiroute Flow and its Application to Robust Network with k Edge Failures2014

    • Author(s)
      J.-F. Baffier, V. Suppakitpaisarn, H. Hiraishi, and H. Imai
    • Journal Title

      Lecture Notes in Computer Science

      Volume: (to appear)

    • Related Report
      2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] Linear-Time FPT Algorithms via Network Flow2014

    • Author(s)
      Y. Iwata, K. Oka, and Y. Yoshida
    • Journal Title

      Proceedings of the 25th ACM-SIAM Symposium on Discrete Algorithms

      Pages: 1794-1761

    • Related Report
      2013 Annual Research Report 2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] Parametric Multiroute Flow and its Application to Robust Network with k Edge Failures2014

    • Author(s)
      Jean-Francois Baffier, Vorapong Suppakitpaisarn, Hidefumi Hiraishi, and Hiroshi Imai
    • Journal Title

      Lecture Notes in Computer Science (to appear)

      Volume: -

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Proximity and Motion Planning on 1-Rigid Planar Periodic Graphs2013

    • Author(s)
      N. Fu, A. Hashikura, and H. Imai
    • Journal Title

      Transactions on Computational Science

      Volume: Vol.XX (LNCS Vol.8110) Pages: 72-91

    • Related Report
      2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] Linear-time enumeration of maximal k-edge-connected subgraphs in large networks by random contraction2013

    • Author(s)
      T. Akiba, Y. Iwata, and Y. Yoshida
    • Journal Title

      Proceedings of the 22nd ACM international conference on Conference on Information & Knowledge Management

      Pages: 909-918

    • Related Report
      2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] Fast and scalable reachability queries on graphs by pruned labeling with landmarks and paths2013

    • Author(s)
      Y. Yano, T. Akiba, Y. Iwata, and Y. Yoshida
    • Journal Title

      Proceedings of the 22nd ACM international conference on Conference on information &knowledge management

      Pages: 1601-1605

    • Related Report
      2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] Fast exact shortest-path distance queries on large networks by pruned landmark labeling2013

    • Author(s)
      T. Akiba, Y. Iwata, and Y. Yoshida
    • Journal Title

      Proceedings of the 2013 ACM SIGMOD International Conference on Management of Data

      Pages: 349-360

    • Related Report
      2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] Proximity and Motion Planning on 1-Rigid Planar Periodic Graphs.2013

    • Author(s)
      Norie Fu, Akihiro Hashikura, and Hiroshi Imai
    • Journal Title

      Transactions on Computational Science., Vol.XX, Lecture Notes in Computer Science

      Volume: 8110 Pages: 72-91

    • DOI

      10.1007/978-3-642-41905-8_6

    • ISBN
      9783642419041, 9783642419058
    • Related Report
      2013 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Fast Exact Shortest-Path Distance Queries on Large Networks by Pruned Landmark Labeling2013

    • Author(s)
      Takuya Akiba, Yoichi Iwata, and Yuichi Yoshida
    • Journal Title

      Proceedings of the 2013 ACM SIGMOD International Conference on Management of Data (SIGMOD'13)

      Volume: 1 Pages: 349-360

    • DOI

      10.1145/2463676.2465315

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Fast and scalable reachability queries on graphs by pruned labeling with landmarks and paths2013

    • Author(s)
      Yosuke Yano, Takuya Akiba, Yoichi Iwata, and Yuichi Yoshida
    • Journal Title

      Proceedings of the 22nd ACM international conference on Conference on information & knowledge management (CIKM '13)

      Volume: 1 Pages: 1601-1606

    • DOI

      10.1145/2505515.2505724

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Linear-time enumeration of maximal k-edge-connected subgraphs in large networks by random contraction2013

    • Author(s)
      Takuya Akiba, Yoichi Iwata, and Yuichi Yoshida
    • Journal Title

      Proceedings of the 22nd ACM international conference on Conference on information & knowledge management (CIKM '13)

      Volume: 1 Pages: 909-918

    • DOI

      10.1145/2505515.2505751

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Exact and approximation algorithms for the maximum constraint satisfaction problem over the point algebra2013

    • Author(s)
      Y. Iwata, Y. Yoshida
    • Journal Title

      Proceeings of the 30th Symposium on Theoretical Aspects of Computer Science

      Volume: Vol.1 Pages: 127-138

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] Fast Elliptic Curve Cryptography Using Optimal Double-Base Chains2012

    • Author(s)
      V. Suppakitpaisarn, M. Edahiro, and H. Imai
    • Journal Title

      Proceedings of the International Conference on Informatics & Application (ICIA2012)

      Pages: 190-204

    • Related Report
      2013 Final Research Report 2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] Optimal elliptic curve scalar multiplication using double-base chains2012

    • Author(s)
      V. Suppakitpaisarn, M. Edahiro, and H. Imai
    • Journal Title

      International Journal of Digital Information and Wireless Communications (IJDIWC)

      Volume: Vol.2 Pages: 115-134

    • Related Report
      2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] Quantum network coding for quantum repeaters2012

    • Author(s)
      T. Satoh, F. Le Gall, and H. Imai
    • Journal Title

      Physical Review A

      Volume: 86 Pages: 32331-32331

    • Related Report
      2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] Exact and approximation algorithms for the maximum constraint satisfaction problem over the point algebra2012

    • Author(s)
      Y. Iwata, Y. Yoshida
    • Journal Title

      Proceedings of the 30th Symposium on Theoretical Aspects of Computer Science

      Pages: 127-138

    • Related Report
      2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] Optimal Elliptic Curve Scalar Multiplication Using Double-Base Chains2012

    • Author(s)
      V. Suppakitpaisarn, M. Edahiro, and H. Imai
    • Journal Title

      International Journal of Digital Information and Wireless Communications (IJDIWC)

      Volume: Vol.2 Pages: 115-134

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] Quantum Network Coding for Quantum Repeaters2012

    • Author(s)
      T. Satoh, F. Le Gall, and H. Imai
    • Journal Title

      Physical Review A

      Volume: 86 Issue: 3 Pages: 32331-32331

    • DOI

      10.1103/physreva.86.032331

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Presentation] 2-Hopラベルの直接的な計算によるグラフ最短経路クエリ処理の効率化2014

    • Author(s)
      秋葉拓哉, 岩田陽一, 吉田悠一
    • Organizer
      第6回データ工学と情報マネジメントに関するフォーラム(DEIM)
    • Place of Presentation
      ウェスティン淡路島, 兵庫県
    • Year and Date
      2014-03-03
    • Related Report
      2013 Final Research Report
  • [Presentation] Representing quantum graph states by binary decision diagrams2014

    • Author(s)
      H. Hiraishi, H. Imai, Y. Iwata, and B. Lin
    • Organizer
      Quantum Information Processing 2014
    • Place of Presentation
      Barcelona, Spain
    • Year and Date
      2014-02-03
    • Related Report
      2013 Annual Research Report 2013 Final Research Report
  • [Presentation] Linear Rank-Width Bounds for BDD of Quantum Graph States2014

    • Author(s)
      H. Hiraishi, H. Imai, Y. Iwata, and B. Lin
    • Organizer
      LAシンポジウム冬
    • Place of Presentation
      京都大学, 京都府
    • Year and Date
      2014-01-28
    • Related Report
      2013 Final Research Report
  • [Presentation] Linear Rank-Width Bounds for BDD of Quantum Graph States2014

    • Author(s)
      H.Hiraishi, H.Imai, Y.Iwata, and B. Lin
    • Organizer
      LAシンポジウム冬
    • Place of Presentation
      京都大学,京都府
    • Related Report
      2013 Annual Research Report
  • [Presentation] 2-Hopラベルの直接的な計算によるグラフ最短経路クエリ処理の効率化2014

    • Author(s)
      秋葉拓哉,岩田陽一,吉田 悠一
    • Organizer
      第6回データ工学と情報マネジメントに関するフォーラム (DEIM)
    • Place of Presentation
      ウェスティン淡路島,兵庫県
    • Related Report
      2013 Annual Research Report
  • [Presentation] 二分決定図を用いた量子グラフ状態の表現2013

    • Author(s)
      平栗勇人, 平石秀史, 今井浩
    • Organizer
      第29回量子情報技術研究会(QIT29)
    • Place of Presentation
      早稲田大学, 東京都
    • Year and Date
      2013-11-18
    • Related Report
      2013 Final Research Report
  • [Presentation] Fast Exact Distance Queries on Large Networks by Pruned Shortest-Path Trees2012

    • Author(s)
      T. Akiba, Y. Iwata, and Y. Yoshida
    • Organizer
      Third Workshop on Algorithms for Large-Scale Information Processing (ALSIP 2012)
    • Place of Presentation
      宮崎観光ホテル, 宮崎県
    • Year and Date
      2012-11-30
    • Related Report
      2013 Final Research Report 2012 Research-status Report
  • [Presentation] イジング分配関数の古典・量子計算について2012

    • Author(s)
      今井浩, 平栗勇人, 平石秀史, 夫紀恵
    • Organizer
      第27回量子情報技術研究会(QIT27)
    • Place of Presentation
      慶應義塾大学日吉キャンパス, 神奈川県
    • Year and Date
      2012-11-27
    • Related Report
      2013 Final Research Report
  • [Presentation] Quantum states associated with 2D periodic graph2012

    • Author(s)
      N. Fu, Y. Hirakuri, H. Imai, and A. Motoyama
    • Organizer
      Asian Quantum Infor- mation Science Conference (AQIS2012)
    • Place of Presentation
      蘇州, 中華人民共和国
    • Year and Date
      2012-08-23
    • Related Report
      2013 Final Research Report
  • [Presentation] 点マイナーによるArchimedeanタイリングの万能量子計算能力性の証明2012

    • Author(s)
      平栗勇人, 夫紀恵, 今井浩, 元山明
    • Organizer
      夏のLAシンポジウム
    • Place of Presentation
      宮津ロイヤルホテル, 京都府
    • Year and Date
      2012-07-18
    • Related Report
      2013 Final Research Report
  • [Presentation] グラフマイナーによる二次元連結周期グラフのunbounded rank-width性の証明とその量子計算能力2012

    • Author(s)
      元山明, 夫紀恵, 平栗勇人, 今井浩
    • Organizer
      夏のLAシンポジウム
    • Place of Presentation
      宮津ロイヤルホテル, 京都府
    • Year and Date
      2012-07-18
    • Related Report
      2013 Final Research Report
  • [Presentation] Evaluating Optimized Computation in Double-Base Chain for Efficient Elliptic Curve Cryptography2012

    • Author(s)
      C. Chuengsatiansup, H. Imai, and V. Suppakitpaisarn
    • Organizer
      15th Japan-Korea Joint Workshop on Algorithms and Computation
    • Place of Presentation
      国立情報学研究所, 東京都
    • Year and Date
      2012-07-10
    • Related Report
      2013 Final Research Report
  • [Presentation] Geometrical treatment of periodic graphs with coordinate system using axis-fiber and an application to a motion planning2012

    • Author(s)
      N. Fu, A. Hashikura and H. Imai
    • Organizer
      The 9th International Symposium on Voronoi Diagrams in Science and Engineering
    • Place of Presentation
      ニュージャージー, アメリカ合衆国
    • Year and Date
      2012-06-27
    • Related Report
      2013 Final Research Report 2012 Research-status Report
  • [Presentation] Optimal Average Joint Hamming Weight for Asymmetric Representation2012

    • Author(s)
      V. Suppakitpaisarn, M. Edahiro, and H. Imai
    • Organizer
      電気情報通信学会コンピュテーション研究会
    • Place of Presentation
      北海道大学, 北海道
    • Year and Date
      2012-06-21
    • Related Report
      2013 Final Research Report 2012 Research-status Report
  • [Presentation] Notes on weighted Delaunay triangulations and discrete Ricci flow2012

    • Author(s)
      T. Tanuma and H. Imai
    • Organizer
      電子情報通信学会コンピュテーション研究会
    • Place of Presentation
      北海道大学, 北海道
    • Year and Date
      2012-06-21
    • Related Report
      2013 Final Research Report
  • [Presentation] Fastest Multi-Scalar Multiplication Based on Optimal Double-Base Chains2012

    • Author(s)
      V. Suppakitpaisarn, M. Edahiro, and H. Imai
    • Organizer
      World Congress on Internet Security (WorldCIS-2012)
    • Place of Presentation
      オンタリオ, カナダ
    • Year and Date
      2012-06-10
    • Related Report
      2013 Final Research Report 2012 Research-status Report
  • [Presentation] Quantum network coding for quantum repeaters2012

    • Author(s)
      T. Satoh, F. Le Gall, H. Imai
    • Organizer
      The 7th Conference on Theory of Quantum Computation, Communication, and Cryptography
    • Place of Presentation
      東京大学, 東京都
    • Year and Date
      2012-05-17
    • Related Report
      2013 Final Research Report 2012 Research-status Report
  • [Presentation] 三値マトロイドの生成とWhiteの予想に関する実験2012

    • Author(s)
      平石秀史, 今井浩, 森山園子
    • Organizer
      電子情報通信学会コンピュテーション研究会
    • Place of Presentation
      大阪府立大学, 大阪
    • Year and Date
      2012-04-27
    • Related Report
      2013 Final Research Report
  • [Presentation] 二分決定図を用いた量子グラフ状態の表現

    • Author(s)
      平栗勇人, 平石秀史, 今井浩
    • Organizer
      第29回量子情報技術研究会(QIT29)
    • Place of Presentation
      早稲田大学,東京都
    • Related Report
      2013 Annual Research Report
  • [Presentation] 三値マトロイドの生成とWhiteの予想に関する実験

    • Author(s)
      平石秀史,今井浩,森山園子
    • Organizer
      電子情報通信学会コンピュテーション研究会
    • Place of Presentation
      大阪府立大学, 大阪府
    • Related Report
      2012 Research-status Report
  • [Presentation] Notes on weighted Delaunay triangulations and discrete Ricci flow

    • Author(s)
      T. Tanuma and H. Imai
    • Organizer
      電子情報通信学会コンピュテーション研究会
    • Place of Presentation
      北海道大学
    • Related Report
      2012 Research-status Report
  • [Presentation] Evaluating Optimized Computation in Double-Base Chain for Efficient Elliptic Curve Cryptography

    • Author(s)
      C.Chuengsatiansup, H.Imai, and V.Suppakitpaisarn
    • Organizer
      15th Japan-Korea Joint Workshop on Algorithms and Computation
    • Place of Presentation
      国立情報学研究所, 東京都
    • Related Report
      2012 Research-status Report
  • [Presentation] Quantum states associated with 2D periodic graph

    • Author(s)
      N. Fu, Y. Hirakuri, H. Imai, and A. Motoyama
    • Organizer
      Asian Quantum Information Science Conference (AQIS2012)
    • Place of Presentation
      蘇州, 中華人民共和国
    • Related Report
      2012 Research-status Report
  • [Presentation] イジング分配関数の古典・量子計算について

    • Author(s)
      今井 浩, 平栗 勇人, 平石 秀史, 夫紀恵
    • Organizer
      第27回量子情報技術研究会(QIT27)
    • Place of Presentation
      慶應義塾大学日吉キャンパス, 神奈川県
    • Related Report
      2012 Research-status Report
  • [Presentation] 点マイナーによるArchimedeanタイリングの万能量子計算能力性の証明

    • Author(s)
      平栗 勇人, 夫 紀恵, 今井 浩, 元山 明
    • Organizer
      夏のLAシンポジウム
    • Place of Presentation
      宮津ロイヤルホテル, 京都府
    • Related Report
      2012 Research-status Report
  • [Presentation] グラフマイナーによる二次元連結周期グラフのunbounded rank-width性の証明とその量子計算能力

    • Author(s)
      元山 明, 夫 紀恵, 平栗 勇人, 今井 浩
    • Organizer
      夏のLAシンポジウム
    • Place of Presentation
      宮津ロイヤルホテル, 京都府
    • Related Report
      2012 Research-status Report

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Published: 2013-05-31   Modified: 2019-07-29  

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