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Research on Asymptotically Succinct BDD Data Structures

Research Project

Project/Area Number 24650062
Research Category

Grant-in-Aid for Challenging Exploratory Research

Allocation TypeMulti-year Fund
Research Field Intelligent informatics
Research InstitutionHokkaido University

Principal Investigator

MINATO Shin-ichi  北海道大学, 情報科学研究科, 教授 (10374612)

Co-Investigator(Kenkyū-buntansha) KIDA Takuya  北海道大学, 大学院情報科学研究科, 准教授 (70343316)
Project Period (FY) 2012-04-01 – 2015-03-31
Project Status Completed (Fiscal Year 2014)
Budget Amount *help
¥3,900,000 (Direct Cost: ¥3,000,000、Indirect Cost: ¥900,000)
Fiscal Year 2014: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2013: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2012: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
KeywordsBDD / ZDD / 簡潔データ構造 / 離散構造 / 論理関数 / 組合せ集合
Outline of Final Research Achievements

BDD(Binary Decision Diagram) is a data structure to represent Boolean functions or combinatorial sets in a compressed index structure. Today, BDDs are widely used for various applications, however, since a BDD needs to manipulates pointers and hash tables, BDD's compression rate may become worse than naive bit string representation, for the data where BDD's compression is not very effective. In our research, we developed a new algorithm, named "DenceZDD," which generates asymptotically succinct BDD structures by packing the structural information into a bit string. In addition, we proposed a method for dynamically manipulating BDDs by hybrid combination of a Dence ZDD system and a conventional BDD manipulation system.

Report

(4 results)
  • 2014 Annual Research Report   Final Research Report ( PDF )
  • 2013 Research-status Report
  • 2012 Research-status Report
  • Research Products

    (11 results)

All 2015 2014 2013 2012

All Journal Article (3 results) (of which Peer Reviewed: 3 results) Presentation (8 results)

  • [Journal Article] Enumerating Eulerian Trails via Hamiltonian Path Enumeration2015

    • Author(s)
      Hiroyuki Hanada, Shuhei Denzumi, Yuma Inoue, Hiroshi Aoki, Norihito Yasuda, Shogo Takeuchi, and Shin-ichi Minato
    • Journal Title

      Springer LNCS

      Volume: 8973 Pages: 161-174

    • DOI

      10.1007/978-3-319-15612-5_15

    • ISBN
      9783319156118, 9783319156125
    • Related Report
      2014 Annual Research Report
    • Peer Reviewed
  • [Journal Article] An Efficient Method for Indexing All Topological Orders of a Directed Graph2014

    • Author(s)
      Yuma Inoue and Shin-ichi Minato
    • Journal Title

      Springer LNCS

      Volume: 8889 Pages: 103-114

    • DOI

      10.1007/978-3-319-13075-0_9

    • ISBN
      9783319130743, 9783319130750
    • Related Report
      2014 Annual Research Report
    • Peer Reviewed
  • [Journal Article] DenseZDD: A Compact and Fast Index for Families of Sets2014

    • Author(s)
      Shuhei Denzumi, Jun Kawahara, Koji Tsuda, Hiroki Arimura, Shin-ichi Minato and Kunihiko Sadakane
    • Journal Title

      Proc. of Symposium on Experimental Algorithms (SEA 2014)

      Volume: Springer LNCS

    • NAID

      120006659589

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Presentation] Enumerating Eulerian Trails via Hamiltonian Path Enumeration2015

    • Author(s)
      Hiroyuki Hanada, Shuhei Denzumi, Yuma Inoue, Hiroshi Aoki, Norihito Yasuda, Shogo Takeuchi, and Shin-ichi Minato
    • Organizer
      9th International Workshop of Algorithms and Computation (WALCOM2015)
    • Place of Presentation
      Dhaka, Bangladesh
    • Year and Date
      2015-02-27
    • Related Report
      2014 Annual Research Report
  • [Presentation] An Efficient Method for Indexing All Topological Orders of a Directed Graph2014

    • Author(s)
      Yuma Inoue and Shin-ichi Minato
    • Organizer
      25th International Symposium on Algorithms and Computation (ISAAC 2014)
    • Place of Presentation
      Jeonju, Korea
    • Year and Date
      2014-12-15
    • Related Report
      2014 Annual Research Report
  • [Presentation] 順列決定グラフ(πDD)を用いたオイラー路の高速な列挙索引化2014

    • Author(s)
      井上祐馬, 湊真一
    • Organizer
      電子情報通信学会コンピュテーション研究会
    • Place of Presentation
      中央大学(東京都)
    • Year and Date
      2014-10-08
    • Related Report
      2014 Annual Research Report
  • [Presentation] DenseZDD: A Compact and Fast Index for Families of Sets2014

    • Author(s)
      Shuhei Denzumi, Jun Kawahara, Koji Tsuda, Hiroki Arimura, Shin-ichi Minato and Kunihiko Sadakane
    • Organizer
      Symposium on Experimental Algorithms (SEA 2014)
    • Place of Presentation
      IDA Conference Centre(デンマーク・コペンハーゲン)
    • Related Report
      2013 Research-status Report
  • [Presentation] 巨大で疎な組合せ集合を表現するための三分索引化ZDD2013

    • Author(s)
      青木洋士, 戸田貴久, 湊真一
    • Organizer
      電子情報通信学会コンピュテーション研究会
    • Place of Presentation
      名古屋工業大学(名古屋市)
    • Related Report
      2013 Research-status Report
  • [Presentation] 大規模疎行列を扱うZDDの演算を高速化する飛び越しリンク構造2013

    • Author(s)
      湊真一
    • Organizer
      電子情報通信学会コンピュテーション研究会
    • Place of Presentation
      岐阜大学(岐阜市)
    • Related Report
      2012 Research-status Report
  • [Presentation] Succinct Indices Based on Zero-Suppressed Binary Decision Diagrams2013

    • Author(s)
      Shuhei Denzumi, Jun Kawahara, Koji Tsuda, Hiroki Arimura, Kunihiko Sadakane, Shin-ichi Minato
    • Organizer
      電子情報通信学会コンピュテーション研究会
    • Place of Presentation
      岐阜大学(岐阜市)
    • Related Report
      2012 Research-status Report
  • [Presentation] Fast and Succinct Indices Based on Zero-Suppressed Binary Decision Diagrams2012

    • Author(s)
      Shuhei Denzumi, Jun Kawahara, Koji Tsuda, Hiroki Arimura, and Shin-ichi Minato
    • Organizer
      Third Workshop on Algorithms for Large-Scale Information Processing (ALSIP 2012)
    • Place of Presentation
      JA AZM Hall, Miyazaki, Japan
    • Related Report
      2012 Research-status Report

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Published: 2013-05-31   Modified: 2023-03-16  

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