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2012 Fiscal Year Final Research Report

Development of efficient algorithms for finding a maximum clique with theoretical and experimental evaluations and their applications

Research Project

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Project/Area Number 22500009
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Fundamental theory of informatics
Research InstitutionThe University of Electro-Communications

Principal Investigator

TOMITA Etsuji  電気通信大学, 名誉教授 (40016598)

Project Period (FY) 2010 – 2012
Keywords最大クリーク / 極大クリーク / NP完全問題 / 時間計算量 / 多項式時間的可解性 / 分枝限定法 / バイオインフォマティクス
Research Abstract

We developed some sufficient conditions and algorithms for arbitrary graphs by which the maximum clique problem can be solved in polynomial time. These algorithms can find an exact maximum clique in any arbitrary graph without any condition. We also confirmed experimentally that our newly developed another maximum-clique-finding algorithm works very efficiently. These algorithms were effectively applied for some problems as in bioinformatics.

  • Research Products

    (41 results)

All 2013 2012 2011 2010 Other

All Journal Article (20 results) (of which Peer Reviewed: 17 results) Presentation (16 results) Book (4 results) Remarks (1 results)

  • [Journal Article] A simple and faster branch-and-bound algorithm for finding a maximum clique with computational experiments2013

    • Author(s)
      Etsuji Tomita, Yoichi Sutani, Takanori Higashi, Mitsuo Wakatsuki
    • Journal Title

      IEICE Trans. on Information and Systems

      Volume: vol.E96-D,no.6

    • Peer Reviewed
  • [Journal Article] 最大クリーク問題の多項式時間的可解性の拡張2012

    • Author(s)
      中西裕陽,富田悦次,若月光夫,西野哲朗
    • Journal Title

      電子情報通信学会論文誌D

      Volume: vol.J95-D,no.9 Pages: 1716-1728

    • Peer Reviewed
  • [Journal Article] A clique-based method using dynamic programming for computing edit distance between unordered trees2012

    • Author(s)
      Tomoya Mori, Takeyuki Tamura, Daiji Fukagawa, Atsuhiro Takasu, Etsuji Tomita, Tatsuya Akutsu
    • Journal Title

      Journal of Computational Biology

      Volume: 19 Pages: 1089-1104

    • Peer Reviewed
  • [Journal Article] Structural change pattern mining based on constrained maximal k-plex search2012

    • Author(s)
      Yoshiaki Okubo, Makoto Haraguchi, Etsuji Tomita
    • Journal Title

      Lecture Notes in Artificial Intelligence

      Volume: 7569 Pages: 284-298

    • Peer Reviewed
  • [Journal Article] Finding what changes for two graphs constructed from different time intervals2012

    • Author(s)
      Aixiang Li, Makoto Haraguchi, Yoshiaki Okubo, Etsuji Tomita
    • Journal Title

      Proc. the 2012 IIAI International Conference on Advanced Applied Informatics

      Pages: 48-53

    • Peer Reviewed
  • [Journal Article] Relational change pattern mining based on modularity difference2012

    • Author(s)
      Yoshiaki Okubo, Makoto Haraguchi, Etsuji Tomita
    • Journal Title

      Proc. International Workshop on Information Search, Integration and Personalization

      Pages: 1-10

    • Peer Reviewed
  • [Journal Article] 最大クリーク問題の多項式時間的可解性の更なる改良結果2011

    • Author(s)
      中西裕陽,富田悦次,若月光夫,西野哲朗
    • Journal Title

      電子情報通信学会論文誌D

      Volume: J94-D,no.12 Pages: 2037-2046

    • Peer Reviewed
  • [Journal Article] 最大クリーク問題の多項式時間的可解性の改良結果2011

    • Author(s)
      中西裕陽,富田悦次
    • Journal Title

      電子情報通信学会論文誌D

      Volume: vol.J94-D,no.5 Pages: 843-851

    • Peer Reviewed
  • [Journal Article] An improved clique-based method for the edit distance between unordered trees with application to similar glycan structures2011

    • Author(s)
      Tatsuya Akutsu, Tomoya Mori, Daiji Fukagawa, Atsuhiro Takasu, Takeyuki Tamura, Etsuji Tomita
    • Journal Title

      Proc. International Conference on Complex, Intelligent and Software Intensive Systems

      Pages: 536-540

    • Peer Reviewed
  • [Journal Article] A clique-based method for the edit distance between unordered trees and its application to analysis of glycan structures2011

    • Author(s)
      Daiji Fukagawa, Takeyuki Tamura, Atsuhiro Takasu, Etsuji Tomita, Tatsuya Akutsu
    • Journal Title

      BMC Bioinformatics

      Volume: 12:S13 Pages: 1-9

    • Peer Reviewed
  • [Journal Article] Learning Boolean functions in AC0 on attribute and classification noise - Estimating an upper bound on attribute and classification noise2011

    • Author(s)
      Akinobu Miyata, Jun Tarui, Etsuji Tomita
    • Journal Title

      Theoretical Computer Science

      Volume: 412 Pages: 4650-4660

    • Peer Reviewed
  • [Journal Article] 最大クリーク問題の多項式時間的可解性について2011

    • Author(s)
      中西裕陽,富田悦次,若月光夫,西野哲朗
    • Journal Title

      京都大学数理解析研究所講究録

      Volume: vol.1744 Pages: 169-176

  • [Journal Article] 実時間最終状態受理式決定性限定1カウンタ変換器の多項式時間等価性判定アルゴリズム2011

    • Author(s)
      若月光夫,清野和司,富田悦次,西野哲 朗
    • Journal Title

      京都大学数理解析研究所講究録

      Volume: vol.1744 Pages: 1-10

  • [Journal Article] Improving object position estimation based on non-linear mapping using relevance vector machine2011

    • Author(s)
      Jesus Robles-Castro, Gonzalo Duchen-Sanchez, Haruhisa Takahashi
    • Journal Title

      Proc. International Conference on Electrical Communications and Computers (CONIELECOMP)

      Pages: 171-176

    • Peer Reviewed
  • [Journal Article] A Comparison of SVM-based evolutionary methods for multicategory cancer diagnosis using microarray gene expression data2011

    • Author(s)
      Rameswar Debnath, Haruhisa.Takahashi, Takio Kurita
    • Journal Title

      Journal of Systemics, Cybernetics and Informatics

      Volume: vol.6 Pages: 63-68

    • Peer Reviewed
  • [Journal Article] 最大クリーク問題の多項式時間的可解性の一結果2010

    • Author(s)
      中西裕陽,富田悦次
    • Journal Title

      電子情報通信学会論文誌D

      Volume: vol.J93-D,no.4 Pages: 417-425

    • Peer Reviewed
  • [Journal Article] 最大クリーク抽出の単純な最大時間計算量評価と多項式時間的可解性2010

    • Author(s)
      中西裕陽,富田悦次,若月光夫
    • Journal Title

      京都大学数理解析研究所講究録

      Volume: vol.1691 Pages: 108-114

  • [Journal Article] Polynomial time identification of strict prefix deterministic finite state transducers2010

    • Author(s)
      Mitsuo Wakatsuki, Etsuji Tomita
    • Journal Title

      Lecture Notes in Artificial Intelligence

      Volume: 6339 Pages: 313-316

    • Peer Reviewed
  • [Journal Article] Asbestos detection in building materials through consolidation of similarities in color and shape features2010

    • Author(s)
      Atsuo Nomoto, Kazuhiro Hotta, Haruhisa Takahashi
    • Journal Title

      Journal of Robotics and Mechatoronics

      Volume: vol.22, no.4 Pages: 496-505

    • Peer Reviewed
  • [Journal Article] Fast human action recognition using conditional random field2010

    • Author(s)
      Hirokazu Nagai, Haruhisa Takahashi, Kazuhiro Hotta
    • Journal Title

      Journal of Signal Processing

      Volume: vol.14, no. 6 Pages: 499-505

    • Peer Reviewed
  • [Presentation] 疑似独立集合制約と正規化カットを用いたグラフの構造比較2013

    • Author(s)
      間澤直寛,原口誠,富田悦次
    • Organizer
      情報処理学会数理モデル化と問題解決研究会
    • Place of Presentation
      武雄文化会館.
    • Year and Date
      20130227-28
  • [Presentation] 決定性 限定1カウンタ変換器のある部分クラスに対する質問による多項式時間学習アルゴリズム2013

    • Author(s)
      若月光夫, 富田悦次, 西野哲朗
    • Organizer
      冬のLAシンポジウム
    • Place of Presentation
      京都大学
    • Year and Date
      20130128-30
  • [Presentation] 極大k-plex探索による外部接続度を考慮した構造変化抽出2012

    • Author(s)
      大久保好章,原口誠,富田悦次
    • Organizer
      ERATO湊離散構造処理系プロジェクト「2012年度秋のワークショップ」
    • Place of Presentation
      ゆうばりホテルシューパロ
    • Year and Date
      20121015-17
  • [Presentation] 最終状態受理式決定性限定1カウンタ変換器の多項式時間等価性判定アルゴリズム2012

    • Author(s)
      若月光夫,清野和司,富田悦次,西野哲朗
    • Organizer
      冬のLAシンポジウム
    • Place of Presentation
      京都大学
    • Year and Date
      20120130-0201
  • [Presentation] クリーク全列挙に基づく構造変化検出アルゴリズム2012

    • Author(s)
      エラウィンディサラ,原口誠,大久保好章,富田悦次
    • Organizer
      情報処理学会数理モデル化と問題解決研究会
    • Place of Presentation
      指宿市市民会館
    • Year and Date
      2012-03-12
  • [Presentation] 最大・極大クリーク抽出アルゴリズムとその応用2011

    • Author(s)
      富田悦次
    • Organizer
      東京工業大学GCOEセミナー
    • Place of Presentation
      東京工業大学
    • Year and Date
      2011-12-19
  • [Presentation] 変化検出のための極大整合連結集合2011

    • Author(s)
      原口誠,大久保好章,富田悦次,吉岡真治
    • Organizer
      人工知能学会人工知能基本問題研究会
    • Place of Presentation
      慶応大学
    • Year and Date
      2011-12-16
  • [Presentation] 最大クリーク問題の多項式時間的可解性の拡張2011

    • Author(s)
      中西裕陽,富田悦次,若月光夫,西野哲朗
    • Organizer
      電子情報通信学会コンピュテーション研究会
    • Place of Presentation
      東北大学
    • Year and Date
      2011-10-21
  • [Presentation] 最大クリーク問題の多項式時間的可解性について2011

    • Author(s)
      富田悦次
    • Organizer
      JSTERATO湊離散構造処理系プロジェクトセミナー
    • Place of Presentation
      北海道大学
    • Year and Date
      2011-10-12
  • [Presentation] An improved clique-based method for computing edit distance between rooted unordered trees2011

    • Author(s)
      森智弥,田村武幸,深川大路,高須淳宏,富田悦次,阿久津達也
    • Organizer
      情報処理学会バイオ情報学研究会
    • Place of Presentation
      神戸大学
    • Year and Date
      2011-09-13
  • [Presentation] 最大クリーク問題の多項式時間的可解性の更なる改良結果2011

    • Author(s)
      中西裕陽,富田悦次,若月光夫,西野哲朗
    • Organizer
      電子情報通信学会コンピュテーション研究会
    • Place of Presentation
      京都大学
    • Year and Date
      2011-04-22
  • [Presentation] 最大クリーク問題の多項式時間的可解性について2011

    • Author(s)
      中西裕陽,富田悦次,若月光夫,西野哲朗
    • Organizer
      冬のLAシンポジウム
    • Place of Presentation
      京都大学
    • Year and Date
      2011-02-13
  • [Presentation] 実時間最終状態受理式決定性限定1カウンタ変換器の多項式時間等価性判定アルゴリズム2011

    • Author(s)
      若月光夫,清野和司,富田悦次,西野哲朗
    • Organizer
      冬のLAシンポジウム
    • Place of Presentation
      京都大学
    • Year and Date
      2011-02-13
  • [Presentation] 最大クリーク問題の多項式時間的可解性の改良結果2010

    • Author(s)
      中西裕陽,富田悦次
    • Organizer
      電子情報通信学会コンピュテーション研究会
    • Place of Presentation
      九州工業大学Kyutechプラザ
    • Year and Date
      2010-12-03
  • [Presentation] 無順序木の編集距離を計算する実用的アルゴリズムについて2010

    • Author(s)
      深川大路,田村武幸,高須淳宏,富田悦次,阿久津達也
    • Organizer
      人工知能学会人工知能基本問題研究会
    • Place of Presentation
      兵庫県立大学
    • Year and Date
      2010-08-01
  • [Presentation] PLENARY LECTURE, The Maximum Clique Problem2010

    • Author(s)
      Etsuji Tomita
    • Organizer
      WSEAS International Conference
    • Place of Presentation
      Corfu Island, Greece.
    • Year and Date
      2010-07-24
  • [Book] 応用オートマトン工学2012

    • Author(s)
      西野哲朗, 若月光夫, 後藤隆彰
    • Publisher
      コロナ社
  • [Book] Efficient algorithms for finding maximum and maximal cliques: Effective tools for bioinformatics," in "Biomedical Engineering, Trends in Electronics, Communications and Software2011

    • Author(s)
      Etsuji Tomita, Tatsuya Akutsu, Tsutomu Matsunaga
    • Total Pages
      625-640
    • Publisher
      A. N. Laskovski (Ed.), InTech
    • URL

      http://www.intechopen.com/articles/show/title/efficient-algorithms-for-finding-maximum-and-maximal-cliques-effective-tools-for-bioinformatics

  • [Book] 数理モデルの応用技術2010

    • Author(s)
      中森眞理雄,富田悦次
    • Total Pages
      227-229
    • Publisher
      情報処理学会
  • [Book] オートマトン・言語理論(第二版)

    • Author(s)
      富田悦次,横森貴
    • Publisher
      森北出版(印刷中)
  • [Remarks] 本研究の重要な基礎をなす下記論文TCS2006は,「Theoretical Computer Science Top CitedArticle 2005-2010」表彰を受けた

    • URL

      http://www.etlab.ice.uec.ac.jp/~tomita/index_e.html

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Published: 2014-08-29  

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