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Practical encodings of graphs with highly functional query supports

Research Project

Project/Area Number 21700010
Research Category

Grant-in-Aid for Young Scientists (B)

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

Principal Investigator

YAMANAKA Katsuhisa  The University of Electro-Communications, 大学院・情報システム学研究科, 助教 (60508836)

Project Period (FY) 2009 – 2010
Project Status Completed (Fiscal Year 2010)
Budget Amount *help
¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2010: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2009: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Keywordsアルゴリズム理論 / グラフ理論 / 圧縮アルゴリズム / クエリのサポート / グラフ / 極大平面グラフ / 格子方形描画 / アルゴリズム / 符号化
Research Abstract

We designed encoding algorithms of graphs. We mainly focuses on plane triangulations and grid rectangular drawing, and developed encoding algorithms of them. The algorithm can encode a plane triangulation with compact space and supports the following queries : (1) adjacency, (2) degree, and (3) clockwise neighbour query. The clockwise neighbor query is frequently used in algorithms for plane graphs. Hence it is an extremely practical query. We also developed an algorithm which encodes a grid rectangular drawing with compact space.

Report

(3 results)
  • 2010 Annual Research Report   Final Research Report ( PDF )
  • 2009 Annual Research Report
  • Research Products

    (18 results)

All 2011 2010 2009

All Journal Article (6 results) (of which Peer Reviewed: 6 results) Presentation (12 results)

  • [Journal Article] A Compact Encoding of Plane Triangulations with Efficient Query Supports2010

    • Author(s)
      山中克久, 中野眞一
    • Journal Title

      Information Processing Letters 18-19巻

      Pages: 803-809

    • NAID

      110002812579

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] Random Generation and Enumeration of Proper Interval Graphs2010

    • Author(s)
      斎藤寿樹, 山中克久, 清見礼, 上原隆平
    • Journal Title

      IEICE Transactions on Information and Systems E93-D巻

      Pages: 1816-1823

    • NAID

      10027363849

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] Efficient Enumeration of All Ladder Lotteries and Its Application2010

    • Author(s)
      山中克久, 中野眞一, 松井泰子, 上原隆平, 仲田研登
    • Journal Title

      Theoretical Computer Science 411巻

      Pages: 1714-1722

    • NAID

      120002511577

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] Random Generation and Enumeration of Proper Interval Graphs2010

    • Author(s)
      斎藤寿樹, 他3名
    • Journal Title

      IEICE Transactions on Information and Systems

      Volume: E93-D Pages: 1816-1823

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A Compact Encodillg of Plane Triangulations with Efficient Query Supports2010

    • Author(s)
      山中克久, 中野眞一
    • Journal Title

      Information Processing Letters

      Volume: 18-19 Pages: 803-809

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Efficient Enumeration of All Ladder Lotteries and Its Application2010

    • Author(s)
      山中克久, 他4名
    • Journal Title

      Theoretical Computer Science 411

      Pages: 1714-1722

    • NAID

      120002511577

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Presentation] 格子方形描画のコンパクトな符号2011

    • Author(s)
      須田亮平
    • Organizer
      第73回情報処理学会全国大会
    • Place of Presentation
      東京工業大学
    • Year and Date
      2011-03-02
    • Related Report
      2010 Final Research Report
  • [Presentation] 格子方形描画のコンパクトな符号2011

    • Author(s)
      須田亮平
    • Organizer
      第73回 情報処理学会 全国大会
    • Place of Presentation
      東京工業大学
    • Year and Date
      2011-03-02
    • Related Report
      2010 Annual Research Report
  • [Presentation] Enumerating All Rooted Trees Including k Leaves2010

    • Author(s)
      山中克久
    • Organizer
      情報処理学会第131回アルゴリズム研究会
    • Place of Presentation
      函館工業専門学校
    • Year and Date
      2010-09-22
    • Related Report
      2010 Final Research Report
  • [Presentation] Enumerating All Rooted Trees Including k Leaves2010

    • Author(s)
      山中克久
    • Organizer
      情報処理学会 第131回 アルゴリズム研究会
    • Place of Presentation
      函館工業高等専門学校
    • Year and Date
      2010-09-22
    • Related Report
      2010 Annual Research Report
  • [Presentation] Random Generation and Enumeration of Bipartite Permutation Graphs2009

    • Author(s)
      斎藤寿樹
    • Organizer
      International Symposium on Algorithms and Computation (ISAAC 2009)
    • Place of Presentation
      ホノルル,アメリカ合衆国
    • Year and Date
      2009-12-18
    • Related Report
      2010 Final Research Report
  • [Presentation] Random Generation and Enumeration of Bipartite Permutation Graphs2009

    • Author(s)
      斎藤寿樹
    • Organizer
      International Symposium on Algorithms and Computation(ISAAC 2009)
    • Place of Presentation
      ホノルル, アメリカ合衆国
    • Year and Date
      2009-12-18
    • Related Report
      2009 Annual Research Report
  • [Presentation] Random Generation and Enumeration of Bipartite Permutation Graphs2009

    • Author(s)
      斎藤寿樹
    • Organizer
      電子情報通信学会コンピュテーション研究会
    • Place of Presentation
      鳥取環境大学
    • Year and Date
      2009-09-14
    • Related Report
      2010 Final Research Report
  • [Presentation] Random Generation and Enumeration of Bipartite Permutation Graphs2009

    • Author(s)
      斎藤寿樹
    • Organizer
      電子情報通信学会 コンピュテーション研究会
    • Place of Presentation
      鳥取環境大学(鳥取県)
    • Year and Date
      2009-09-14
    • Related Report
      2009 Annual Research Report
  • [Presentation] Random Generation and Enumeration of Bipartite Permutation Graphs2009

    • Author(s)
      斎藤寿樹
    • Organizer
      夏のLA シンポジウム
    • Place of Presentation
      松島(宮城県)
    • Year and Date
      2009-07-24
    • Related Report
      2010 Final Research Report
  • [Presentation] Random Generation and Enumeration of Bipartite Permutation Graphs2009

    • Author(s)
      斎藤寿樹
    • Organizer
      夏のLAシンポジウム
    • Place of Presentation
      松島(宮城県)
    • Year and Date
      2009-07-24
    • Related Report
      2009 Annual Research Report
  • [Presentation] Efficient Enumeration of All Pseudoline Arrangements2009

    • Author(s)
      山中克久
    • Organizer
      情報処理学会第124回アルゴリズム研究会
    • Place of Presentation
      東京大学医科学研究所
    • Year and Date
      2009-05-05
    • Related Report
      2010 Final Research Report
  • [Presentation] Efficient Enumeration of All Pseudoline Arrangements2009

    • Author(s)
      山中克久
    • Organizer
      情報処理学会 アルゴリズム研究会
    • Place of Presentation
      東京大学 医科学研究所(東京都)
    • Year and Date
      2009-05-05
    • Related Report
      2009 Annual Research Report

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Published: 2009-04-01   Modified: 2016-04-21  

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