• Search Research Projects
  • Search Researchers
  • How to Use
  1. Back to previous page

Development and Evaluations of Efficient Algorithms for Finding a Maximum Clique Based upon Nueral Networks

Research Project

Project/Area Number 02650261
Research Category

Grant-in-Aid for General Scientific Research (C)

Allocation TypeSingle-year Grants
Research Field 情報工学
Research InstitutionThe Univesity of Electro-Communications

Principal Investigator

TOMITA Etsuji  The University of Electro-Communications Dept. of Communications and Systems, Professor, 電気通信学部, 教授 (40016598)

Co-Investigator(Kenkyū-buntansha) YOKOMORI Takashi  The University of Electro-Communications Dept. of Computer Science and Informati, 電気通信学部, 助教授 (60139722)
TAKEDA Mitsuo  The University of Electro-Communications Dept. of Communications and Systems, Pr, 電気通信学部, 教授 (00114926)
TAKAHASHI Haruhisa  The University of Electro-Communications Dept. of Communications and Systems, As, 電気通信学部, 助教授 (90135418)
Project Period (FY) 1990 – 1991
Project Status Completed (Fiscal Year 1991)
Budget Amount *help
¥2,800,000 (Direct Cost: ¥2,800,000)
Fiscal Year 1991: ¥900,000 (Direct Cost: ¥900,000)
Fiscal Year 1990: ¥1,900,000 (Direct Cost: ¥1,900,000)
KeywordsNeural network / Graph / Clique / Boltzmann machine / Randamized algorithm / N-queen problem / 近似アルゴリズム / アルゴリズム / nークィ-ン問題
Research Abstract

1. Given a graph of n nodes, we have devised an 0(n^3)-time algorithm NMCLIQ for finding a near-maximum clique. We have confirmed in experiments for several graphs with up to 400 nodes that the orders of maximal c)iques found by NMCLIQ are almost more than 85% of the maximum orders.
2. We have developed an 0(n^3)-time algorithm RACLIQUE for finding a near-maximum clique in a given graph of n nodes. While the algorithm is based upon the notion of Boltzmann machines, it employs no simulated annealing and hence is simple to control its execution. We have confirmed in experiments for several random and nonrandom graphs with up to 400 nodes that almost optimum solutions can be found very efficiently. In addition, further improvements and variations are considered and verified to be very useful.
3. We have devised two non-searching algorithms for the n-queen problem which are based upon the former resuit for finding a near-maximum clique. We have confirmed in experiments for up to 50, 000 queens that they are extremly efficient.

Report

(3 results)
  • 1991 Annual Research Report   Final Research Report Summary
  • 1990 Annual Research Report
  • Research Products

    (30 results)

All Other

All Publications (30 results)

  • [Publications] 山田 義明: "非探索アルゴリズムによるnーqueen問題の解法" 電子情報通信学会コンピュテ-ション研究会技術研究報告. COMPー90. 87-92 (1990)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] 富田 悦次: "近似最大クリ-クを抽出する多項式時間アルゴリズムとその実験的評価" 電子情報通信学会論文誌DーI. J74ーDー1. 307-310 (1991)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] 山田 義明: "ボルツマンマシンの概念を応用した近似最大クリ-ク抽出アルゴリズムの実験的評価" 電子情報通信学会コンピュテ-ション研究会技術研究報告. COMPー91. 63-68 (1991)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] 山田 義明: "ボルツマンマシンの概念に基づいた近似最大クリ-ク抽出アルゴリズムとその実験的評価" 電子情報通信学会論文誌DーI.

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] 若月 光夫: "単純決定性プッシュダウンオ-トマトンの等価性判定の改良分岐アルゴリズムとその最大時間計算量" 電子情報通信学会論文誌DーI. J74ーDー1. 595-603 (1991)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] 高橋 治久: "バックプロパゲ-ションの生物学的実現可能性" 電子情報通信学会ニュ-ロコンピュ-ティング研究会技術研究報告. NCー90. 31-38 (1990)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] 富田 悦次(分担): "情報科学辞典" 岩波書店, 1172 (1990)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] 富田 悦次(共著): "オ-トマトン・言語理論" 森北出版, 200 (1992)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] YAMADA, Yoshiaki: ""Non-searching algorithms for the n-queen problem"" IEICE Technical Report. COMP90. 87-92 (1990)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] TOMITA, Etsuji: ""A polynomial-time algorithm for finding a near-maximum clique and its experimental evaluation"" Trans. IEICE. J-74-D-I. 307-310 (1991)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] YAMADA, Yoshiaki: ""Applying the notion of Boltzmann machines to have an algorithm for finding a near-maximum clique and its experimental evaluations"" IEICE Technical Report. COMP91. 63-68 (1991)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] WAKATSUKI, Mitsuo: ""An improved branching algorithm for checking the equivalence of simple dpda's its worst-case time complexity"" Trans, IEICE. J74-D-I. 595-603 (1991)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] TAKAHASHI, Haruhisa: ""Biological plausibility of backpropagation"" IEICE Technical Report. NC90. 31-38 (1990)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] NAGAO, Makoto: Iwanami Publishing Co.,. "Encyclopedia of Information Sciences", 1172 (1990)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] TOMITA, Etsuji: Morikita Publishing Co.,. "Automata and Formal Languages", 200 (1992)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] 富田 悦次: "近似最大クリ-クを抽出する多項式時間アルゴリズムとその実験的評価" 電子情報通信学会論文誌Dー1. J74ーDー1. 307-310 (1991)

    • Related Report
      1991 Annual Research Report
  • [Publications] 山田 義朗: "ボルツマンマシンの概念を応用した近似最大クリ-ク抽出アルゴリズムの実験的評価" 電子情報通信学会コンピュテ-ション研究会技術研究報告. COMPー91. 63-68 (1991)

    • Related Report
      1991 Annual Research Report
  • [Publications] 山田 義朗: "ボルツマンマシンの概念に基づいた近似最大クリ-ク抽出アルゴリズムとその実験的評価" 電子情報通信学会論文誌DーI.

    • Related Report
      1991 Annual Research Report
  • [Publications] 本村 陽一: "連続関数の領域区分近似を実現するネットワ-ク" 電子情報通信学会非線形問題研究会技術研究報告. NLPー91. 1-8 (1991)

    • Related Report
      1991 Annual Research Report
  • [Publications] 若月 光夫: "単純決定性プッシュダウンオ-トマトンの等価性判定の改良分岐アルゴリズムとその最大時間計算量" 電子情報通信学会論文誌DーI. J74ーDーI. 595-603 (1991)

    • Related Report
      1991 Annual Research Report
  • [Publications] Noriyuki TANIDA: "PolynomialーTime Identification of Strictly Regular Launguages in the Limit" IEICI Trans.on Information and Systems. E75ーD. 125-132 (1992)

    • Related Report
      1991 Annual Research Report
  • [Publications] 富田 悦次(共著): "オ-トマトン・言語理論" 森北出版, 200 (1992)

    • Related Report
      1991 Annual Research Report
  • [Publications] 山田 義朗: "非探索アルゴリズムによるnーqueen問題の解法" 電子情報通信学会コンピュテ-ション研究会技術研究報告. COMPー90. 87-92 (1990)

    • Related Report
      1990 Annual Research Report
  • [Publications] 高橋 治久: "バックプロパゲ-ションの生物学的実現可能性" 電子情報通信学会ニュ-ロコンピュ-ティング研究会技術研究報告. NC90. 31-38 (1990)

    • Related Report
      1990 Annual Research Report
  • [Publications] 若月 光夫: "単純決定性プッシュダウンオ-トマトンの等価性判定に要する最大時間計算量の改善" 電子情報通信学会コンピュテ-ション研究会技術研究報告. COMPー90. 45-54 (1990)

    • Related Report
      1990 Annual Research Report
  • [Publications] 木村 陽一: "線形分離可能性判定においてパ-セプトロンは最適か?ー実験的評価ー" 電子情報通信学会ニュ-ロコンピュ-ティング研究会技術研究報告. NC90. (1991)

    • Related Report
      1990 Annual Research Report
  • [Publications] 山下 泰弘: "簡単なネットワ-クによる時系列の認識と生成" 電子情報通信学会ニュ-ロコンピュ-ティング研究会技術研究報告. NC90. (1991)

    • Related Report
      1990 Annual Research Report
  • [Publications] 富田 悦次: "近似最大クリ-クを抽出する多項式時間アルゴリズムとその実験的評価" 電子情報通信学会論文誌DーI. J74ーDーI. (1991)

    • Related Report
      1990 Annual Research Report
  • [Publications] 富田 悦次(分担): "情報科学辞典" 岩波書店, 1172 (1990)

    • Related Report
      1990 Annual Research Report
  • [Publications] 富田 悦次(分担): "アルゴリズム辞典" 共立出版,

    • Related Report
      1990 Annual Research Report

URL: 

Published: 1990-04-01   Modified: 2016-04-21  

Information User Guide FAQ News Terms of Use Attribution of KAKENHI

Powered by NII kakenhi