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Development and Evaluations of Efficient Algorithms for Combinatorial Optimization Problems

Research Project

Project/Area Number 06680311
Research Category

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

Allocation TypeSingle-year Grants
Research Field 計算機科学
Research InstitutionThe University of Electro-Communications

Principal Investigator

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

Co-Investigator(Kenkyū-buntansha) WAKATSUKI Mitsuo  The University of Electro-Communications Dept.of Communications and Systems Engi, 電気通信学部, 助手 (30251705)
TARUI Jun  The University of Electro-Communications Dept.of Communications and Systems Engi, 電気通信学部, 講師 (00260539)
TAKAHASHI Haruhisa  The University of Electro-Communications Dept.of Communications and Systems Engi, 電気通信学部, 助教授 (90135418)
Project Period (FY) 1994 – 1995
Project Status Completed (Fiscal Year 1995)
Budget Amount *help
¥2,200,000 (Direct Cost: ¥2,200,000)
Fiscal Year 1995: ¥800,000 (Direct Cost: ¥800,000)
Fiscal Year 1994: ¥1,400,000 (Direct Cost: ¥1,400,000)
Keywordscombinatorial optimization / algorithm / maximum clique / maximum weight clique / branch-and-bound / approximate coloring / Boltzmann machine / RNA secondary structure prediction / ポルツマンマシン / 深さ優先探索 / 確立アルゴリズム / RNA 2次構造予測
Research Abstract

We have developed a simple and branch and bound algorithm for finding a maximum clique of a graph. Our approach successively applies a pruning method based on greedy coloring followed by suitable arrangements for the vertices in consideration. The algorithm reduces the number of search tree nodes very effectively and hence runs fast. It is experimentally confirmed to run faster for a number of random graphs with up to 600 vertices and other graphs than several algorithms which have been appeared in the literature. This algorithm has been further improved by combining several methods.
We have also developed a simple branch and bound algorithm for finding a maximum weight clique in a weighted graph. Its bounding rule is principally based upon a sequentail approximate coloring which has been applied in the above algorithms.
Based upon Boltzmann machines, a new algorithm is given for approximately coloring a graph. Besides, the above algorithm for finding a maximum weight clique is applied for an RNA secondary structure prediction problem.

Report

(3 results)
  • 1995 Annual Research Report   Final Research Report Summary
  • 1994 Annual Research Report
  • Research Products

    (26 results)

All Other

All Publications (26 results)

  • [Publications] 富田悦次: "最大クリークを抽出する単純で効率的な分枝限定アルゴリズムと実験的評価" 電子情報通信学会論文誌. J79-D-1. 1-8 (1996)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] 今松憲一: "近似彩色を用いた単純な最大重みクリーク抽出アルゴリズム" 電気通信大学紀要. 8. 17-21 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] Yosiaki YAMADA: "A Randomiged Algorithen for Finding a Near-Maximum Cligue and Its Experimental Evolutions" Systems and Computers in Japan. 25. 1-7 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] 若月光夫: "最大重みクリーク抽出アルゴリズムのRNAの二次構造予測への適用" 情報処理学会第52回全国大会講演論文集. (1). 53-54 (1996)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] 菊池 淳: "グラフの近似彩色を行う確率アルゴリズム" 情報処理学会第52回全国大会講演論文集. (1). 67-68 (1996)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] Etsuji TOMITA: "The extended equivalence problem for a class of non-real-time deterministic pushdowm automata" Acta Informatica. 32. 395-413 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] 富田悦次(分担): "アルゴリズム辞典" 共立出版, 951 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] TOMITA,Etsuji: "A simple and efficient branch and bound algorithm for finding a maximum clique with the experimental evaluations" Trans.IEICE. J79-D-I. 1-8 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] IMAMATSU,Ken'ichi: "A simple algorithm for finding a maximum weight clique based upon an approximate coloring" Bulletin of the University of Electro-Communications. 8. 17-21 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] YAMADA,Yoshiaki: "A randomized algorithm for finding a near-maximum clique and its experimental evaluations" Systems and Computers in Japan. 25. 1-7 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] WAKATSUKI,Mitsuo: "An application of an algorithm for finding a maximum weight clique to RNA secondary prediction" JPSJ Nat.Conv.Rec.1. 53-54 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] KIKUCHI,Jun: "A randomized algorithm for approximate graph coloring" IPSJ Nat.Conv.Rec.1. 67-68 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] TOMITA,Etsuji: "The extended equivalence problem for a class of non-real-time deterministic pushdown automata" Acta Informatica. 32. 395-413 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] 富田,悦次: "最大クリークを抽出する単純で効率的な分枝限定アルゴリズムと実験的評価" 電子情報通信学会論文誌. J79-D-I. 1-8 (1996)

    • Related Report
      1995 Annual Research Report
  • [Publications] 今松憲一: "近似彩色を用いた単純な最大重みクリーク抽出アルゴリズム" 電気通信大学紀要. 8. 17-21 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] 田中健夫: "最大重みクリークの近似抽出解法によるRNAの二次構造予測" 電子情報通信学会情報・システムソサイエティ大会講演論文集. (D-1). 11- (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] 若月,光夫: "最大重みクリーク抽出アルゴリズムのRNAの二次構造予測への適用" 情報処理学会第52回全国大会講演論文集. (1). 53- (1996)

    • Related Report
      1995 Annual Research Report
  • [Publications] 菊池淳: "グラフの近似彩色を行う確率アルゴリズム" 情報処理学会第52回全国大会講演論文集. (1). 67- (1996)

    • Related Report
      1995 Annual Research Report
  • [Publications] Etsuji TOMITA: "The extended equivalence problem for a class of non-real-time deterministic pushdown automata" Acta Informatica. 32. 395-413 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] Yoshiaki YAMADA: "A Randomized Algorithm for Findiug a Near-Maximum Clique and Its Experimeatal Evaluations" Systems and Computers in Japan. 25. 1-7 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] 今松 憲一: "最大クリークを抽出する単純で効率的な分枝限定手法" 情報処理学会 第50回全国大会論文集. (発表予定). (1995)

    • Related Report
      1994 Annual Research Report
  • [Publications] 富田 悦次: "最大クリークを抽出する単純で効率的な分枝限定アルゴリズムと実験的評価" Technical Report of the Univ,of Electro-Comm.CAS 95-4. 1-13 (1995)

    • Related Report
      1994 Annual Research Report
  • [Publications] Etsuji TOMITA: "The Exteuded Equivaleuce Probleun for Some Non-Real-Time Deterministic Pushdown Automata" Acta Informatica. (to appear).

    • Related Report
      1994 Annual Research Report
  • [Publications] Kazushi SEINO: "The Exteuded Equivalence Problem for a Clau WSP of Non-Real-Time PPDA's" Bulletin of the Univ.of Electro-Comm.7. 141-156 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] Ken HIGUCHI: "A Palgnomial-Time Algorithm for Checktng the Inclusion for Strict Deterministic Restricted One-Counter Automata" IEICE Traus.on Information and Systems. (to appear).

    • Related Report
      1994 Annual Research Report
  • [Publications] 富田 悦次(分担): "アルゴリズム辞典" 共立出版, 951 (1994)

    • Related Report
      1994 Annual Research Report

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Published: 1994-04-01   Modified: 2016-04-21  

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