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A method for generating the characteristics of nodes for a directed graph using the new mathematical tools

Research Project

Project/Area Number 22500268
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Statistical science
Research InstitutionTokyo Metropolitan College of Industrial Technology

Principal Investigator

HOFUKU Ichiro  東京都立産業技術高等専門学校, ものづくり工学科, 教授 (10229205)

Co-Investigator(Kenkyū-buntansha) YOKOI Takeru  東京都立産業技術高等専門学校, ものづくり工学科, 准教授 (40469573)
Co-Investigator(Renkei-kenkyūsha) OSHIMA Kunio  東京理科大学, 経営学部, 教授 (90130327)
Project Period (FY) 2010 – 2012
Project Status Completed (Fiscal Year 2012)
Budget Amount *help
¥2,340,000 (Direct Cost: ¥1,800,000、Indirect Cost: ¥540,000)
Fiscal Year 2012: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2011: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2010: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Keywordsランキング / ノードクラスタリング / 有向グラフ / クラスタリング / PH algorithm / 情報検索システム
Research Abstract

In the present study, we solved the following problems to analyze the structure of a given directed graph:・cluster the nodes and generate a pair of groups of nodes,・describe the relation between the groups by using diagrams,・generate an index that represents the rate of complexity.Based on the processes of analysis mentioned above, we give the node clustering method from which a given directed graph is possible to degenerate among nodes. Furthermore, an application of the node clustering is also given to present the advantage of degeneration for a directed graph.

Report

(4 results)
  • 2012 Annual Research Report   Final Research Report ( PDF )
  • 2011 Annual Research Report
  • 2010 Annual Research Report
  • Research Products

    (12 results)

All 2012 2010

All Journal Article (10 results) (of which Peer Reviewed: 10 results) Presentation (2 results)

  • [Journal Article] A method to cluster the nodes in a directed graph2012

    • Author(s)
      I.Hofuku, K.Oshima
    • Journal Title

      Applied Mathematical and Computational Sciences

      Volume: Vol.4, No.1 Pages: 1-22

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] A New Ranking ModelUsing the Power Method2012

    • Author(s)
      I.Hofuku, K.Oshima
    • Journal Title

      Applied Mathematics and Information Science

      Volume: Vol.6, No.1 Pages: 75-84

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] A method to cluster the nodes in a directed graph2012

    • Author(s)
      I.Hofuku
    • Journal Title

      Applied Mathematical and Computational Sciences

      Volume: Vol.4 Pages: 1-22

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] 行動辞書を利用したTwitterからの行動抽出2012

    • Author(s)
      横井 健
    • Journal Title

      第11回情報科学技術フォーラム(FIT2012)講演論文集

      Volume: Vol.11 Pages: 51-56

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] NMFを用いたコンセンサスソフトクラスタリングによる最適トピック数の検討2012

    • Author(s)
      横井 健
    • Journal Title

      電気学会論文誌C

      Volume: Vol.132 Pages: 53-60

    • NAID

      10030528906

    • Related Report
      2012 Annual Research Report 2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A method to cluster the nodes in a directed graph2012

    • Author(s)
      I.Hofuku, K.Oshima
    • Journal Title

      Applied Mathematics and Information Science

      Volume: Vol.6 Pages: 75-84

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Measures to Represent the Properties of Nodes in a Directed Graph2010

    • Author(s)
      I.Hofuku, T.Yokoi, K.Oshima
    • Journal Title

      INFORMATION

      Volume: Vol.13, No.3(A) Pages: 537-549

    • Related Report
      2012 Final Research Report 2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] The KeywordExtraction with the Ranking Method using ANP2010

    • Author(s)
      T.Yokoi, I.Hofuku
    • Journal Title

      INFORMATION

      Volume: Vol.13,No.3(B) Pages: 1065-1073

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] The Keyword Extraction with the Ranking Method using ANP2010

    • Author(s)
      T.Yokoi, I.Hofuku
    • Journal Title

      INFORMATION

      Volume: Vol.13, No.3(B) Pages: 1065-1073

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Topic Number Estimation by Consensus Soft Clustering with NMF2010

    • Author(s)
      T.Yokoi
    • Journal Title

      The 2010 International Conference on Database Theory and Application

      Volume: Vol.2 Pages: 63-73

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Presentation] ノードクラスタリング法とその応用について2012

    • Author(s)
      保福一郎
    • Organizer
      RIMS研究会(函数解析学による一般化エントロピーの新展開)
    • Related Report
      2012 Annual Research Report 2012 Final Research Report
  • [Presentation] 単語と文書間における複数の関係性を用いたキーワード抽出手法の提案2010

    • Author(s)
      横井健
    • Organizer
      NLP若手の会第5回シンポジウム
    • Place of Presentation
      国立情報学研究所
    • Related Report
      2010 Annual Research Report

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Published: 2010-11-30   Modified: 2019-07-29  

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