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Studies on Exact Exponential Time Algorithms for Computationally Intractable Problems

Research Project

Project/Area Number 23700015
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeMulti-year Fund
Research Field Fundamental theory of informatics
Research InstitutionKyoto University

Principal Investigator

TAMAKI SUGURU  京都大学, 情報学研究科, 助教 (40432413)

Project Period (FY) 2011 – 2013
Project Status Completed (Fiscal Year 2013)
Budget Amount *help
¥3,900,000 (Direct Cost: ¥3,000,000、Indirect Cost: ¥900,000)
Fiscal Year 2013: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2012: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2011: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Keywords計算量理論 / アルゴリズム論 / 充足可能性問題 / 制約充足問題 / 論理回路 / グラフ / アルゴリズム理論 / 厳密アルゴリズム / 計算困難性 / 彩色問題 / グラフ理論 / 証明の複雑さ
Research Abstract

Many practical optimization problems are known to be NP-hard, which is the class of computationally intractable problems. In this study, we gave design and complexity analysis of efficient exact algorithms for such computationally difficult problems. As a result, we obtained improved algorithms for the satisfiability problems of Boolean circuits and the CNF maximum satisfiability problem. We also gave subexponential time algorithms for the minimum arrangement problem and robust algorithms for the constraint satisfaction problems.

Report

(4 results)
  • 2013 Annual Research Report   Final Research Report ( PDF )
  • 2012 Research-status Report
  • 2011 Research-status Report
  • Research Products

    (30 results)

All 2014 2013 2012 2011 Other

All Journal Article (7 results) (of which Peer Reviewed: 7 results) Presentation (19 results) (of which Invited: 2 results) Remarks (4 results)

  • [Journal Article] A Query Efficient Non-Adaptive Long Code Test with Perfect Completeness2014

    • Author(s)
      Suguru Tamaki, Yuichi Yoshida
    • Journal Title

      Random Structures & Algorithms

      Volume: 未定

    • NAID

      120005676683

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Derandomizing the HSSW Algorithm for 3-SAT2013

    • Author(s)
      Kazuhisa Makino, Suguru Tamaki, Masaki Yamamoto
    • Journal Title

      Algorithmica

      Volume: 67(2) Pages: 112-124

    • Related Report
      2013 Annual Research Report 2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] A satisfiability algorithm and average-case hardness for formulas over the full binary basis2013

    • Author(s)
      Kazuhisa Seto, Suguru Tamaki
    • Journal Title

      Computational Complexity

      Volume: 22(2) Pages: 245-274

    • NAID

      120005474485

    • Related Report
      2013 Annual Research Report 2013 Final Research Report 2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] Derandomizing HSSW Algorithm for 3-SAT2013

    • Author(s)
      Kazuhisa Makino, Suguru Tamaki, Masaki Yamamoto
    • Journal Title

      Algorithmica

      Volume: 未定 Issue: 2 Pages: 112-124

    • DOI

      10.1007/s00453-012-9741-4

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] An exact algorithm for the Boolean connectivity problem for k-CNF2011

    • Author(s)
      Kazuhisa Makino, Suguru Tamaki, Masaki Yamamoto
    • Journal Title

      Theor. Comput. Sci

      Volume: 412(35) Pages: 4613-4618

    • NAID

      120003338848

    • Related Report
      2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] An exact algorithm for the Boolean connectivity problem for k-CNF2011

    • Author(s)
      K.Makino, S.Tamaki, M.Yamamoto
    • Journal Title

      Theor.Comput.Sci.

      Volume: 412(35) Issue: 35 Pages: 4613-4618

    • DOI

      10.1016/j.tcs.2011.04.041

    • NAID

      120003338848

    • Related Report
      2011 Research-status Report
    • Peer Reviewed
  • [Journal Article] A Query Efficient Non-Adaptive Long Code Test with Perfect Completeness

    • Author(s)
      Suguru Tamaki, Yuichi Yoshida
    • Journal Title

      Random Structures & Algorithms

      Volume: (to appear)

    • NAID

      120005676683

    • Related Report
      2013 Final Research Report
    • Peer Reviewed
  • [Presentation] Solving Sparse Instances of Max SAT via Width Reduction and Greedy Restriction2014

    • Author(s)
      Takayuki Sakai, Kazuhisa Seto and Suguru Tamaki
    • Organizer
      Proceedings of the 17th International Conference on Theory and Applications of Satisfiability Testing (SAT)
    • Place of Presentation
      (to appear)
    • Related Report
      2013 Final Research Report
  • [Presentation] The complexity of robust satisfiability of the constraint satisfaction problem2014

    • Author(s)
      Suguru Tamaki
    • Organizer
      Dagstuhl Seminar 14201
    • Place of Presentation
      Saarland, Germany
    • Related Report
      2013 Final Research Report
    • Invited
  • [Presentation] Solving Sparse Instances of Max SAT via Width Reduction and Greedy Restriction2014

    • Author(s)
      Takayuki Sakai, Kazuhisa Seto, Suguru Tamaki
    • Organizer
      The 7th AAAC Annual Meeting
    • Place of Presentation
      Hangzhou, China
    • Related Report
      2013 Annual Research Report 2013 Final Research Report
  • [Presentation] Solving Sparse Instances of Max SAT via Width Reduction and Greedy Restriction2014

    • Author(s)
      Takayuki Sakai, Kazuhisa Seto, Suguru Tamaki
    • Organizer
      The 17th International Conference on Theory and Applications of Satisfiability Testing
    • Place of Presentation
      Vienna, Austria
    • Related Report
      2013 Annual Research Report
  • [Presentation] A satisfiability algorithm and average-case hardness for formulas over the full binary basis2013

    • Author(s)
      Suguru Tamaki
    • Organizer
      Dagstuhl Seminar 13331
    • Place of Presentation
      Saarland, Germany
    • Related Report
      2013 Final Research Report
    • Invited
  • [Presentation] The complexity of robust satisfiability of the constraint satisfaction problem2013

    • Author(s)
      Suguru Tamaki
    • Organizer
      The 6th AAAC Annual Meeting
    • Place of Presentation
      Matsushima, Japan
    • Related Report
      2013 Annual Research Report 2013 Final Research Report
  • [Presentation] Approximation Guarantees for the Minimum Linear Arrangement Problem by Higher Eigenvalues2012

    • Author(s)
      Suguru Tamaki, Yuichi Yoshida
    • Organizer
      Proceedings of the 15th International Workshop on Approximation Algorithms for Combinatorial Optimization Problems (APPROX)
    • Place of Presentation
      (pages 313-324)
    • Related Report
      2013 Final Research Report
  • [Presentation] A Satisfiability Algorithm and Average-Case Hardness for Formulas over the Full Binary Basis2012

    • Author(s)
      Kazuhisa Seto, Suguru Tamaki
    • Organizer
      Proceedings of the 27th IEEE Conference on Computational Complexity (CCC)
    • Place of Presentation
      (pages 107-116)
    • Related Report
      2013 Final Research Report
  • [Presentation] Linear programming, width-1 CSPs, and robust satisfaction2012

    • Author(s)
      Gabor Kun, Ryan O'Donnell, Suguru Tamaki, Yuichi Yoshida, Yuan Zhou
    • Organizer
      Proceedings of the 3rd Innovations in Theoretical Computer Science Conference (ITCS)
    • Place of Presentation
      (pages 484-495)
    • Related Report
      2013 Final Research Report
  • [Presentation] A Satisfiability Algorithm and Average-Case Hardness for Formulas over the Full Binary Basis2012

    • Author(s)
      K. Seto, S. Tamaki
    • Organizer
      CCC 2012 (発表確定)
    • Place of Presentation
      Porto, Portugal
    • Related Report
      2011 Research-status Report
  • [Presentation] Linear programming, width-1 CSPs, and robust satisfaction2012

    • Author(s)
      G. Kun, R. O'Donnell, S. Tamaki, Y. Yoshida, Y. Zhou
    • Organizer
      ITCS 2012
    • Place of Presentation
      Cambridge, MA, USA
    • Related Report
      2011 Research-status Report
  • [Presentation] A Satisfiability Algorithm for Formulas over the Full Binary Basis2012

    • Author(s)
      K. Seto, S. Tamaki
    • Organizer
      RIMS研究集会「アルゴリズムと計算理論の新展開」(冬のLAシンポジウム)
    • Place of Presentation
      Kyoto, Japan
    • Related Report
      2011 Research-status Report
  • [Presentation] Derandomizing HSSW Algorithm for 3-SAT2011

    • Author(s)
      Kazuhisa Makino, Suguru Tamaki, Masaki Yamamoto
    • Organizer
      Proceedings of the 17th Annual International Computing and Combinatorics Conference (COCOON)
    • Place of Presentation
      (pages 1-12)
    • Related Report
      2013 Final Research Report
  • [Presentation] Derandomizing HSSW Algorithm for 3-SAT2011

    • Author(s)
      K. Makino, S. Tamaki, M. Yamamoto
    • Organizer
      ISAAC 2011
    • Place of Presentation
      Yokohama, Japan
    • Related Report
      2011 Research-status Report
  • [Presentation] 指数時間厳密アルゴリズム2011

    • Author(s)
      玉置 卓
    • Organizer
      学術情報メディアセンターセミナー 「アルゴリズムと計算量理論」(招待講演)
    • Place of Presentation
      Kyoto, Japan
    • Related Report
      2011 Research-status Report
  • [Presentation] Linear programming, width-1 CSPs, and robust satisfaction2011

    • Author(s)
      G. Kun, R. O'Donnell, S. Tamaki, Y. Yoshida, Y. Zhou
    • Organizer
      2011年夏のLAシンポジウム
    • Place of Presentation
      Shizuoka, Japan
    • Related Report
      2011 Research-status Report
  • [Presentation] Approximation Guarantees for the Minimum Linear Arrangement Problem by Higher Eigenvalues

    • Author(s)
      Suguru Tamaki, Yuichi Yoshida
    • Organizer
      APPROX-RANDOM 2012
    • Place of Presentation
      Boston, USA
    • Related Report
      2012 Research-status Report
  • [Presentation] A Satisfiability Algorithm and Average-Case Hardness for Formulas over the Full Binary Basis

    • Author(s)
      Kazuhisa Seto, Suguru Tamaki
    • Organizer
      IEEE Conference on Computational Complexity 2012
    • Place of Presentation
      Porto, Portugal
    • Related Report
      2012 Research-status Report
  • [Presentation] The complexity of robust satisfiability of the constraint satisfaction problem

    • Author(s)
      Suguru Tamaki
    • Organizer
      AAAC 2013
    • Place of Presentation
      Matsushima, Japan
    • Related Report
      2012 Research-status Report
  • [Remarks]

    • URL

      http://www.lab2.kuis.kyoto-u.ac.jp/~tamak/index-j.html

    • Related Report
      2013 Final Research Report
  • [Remarks] 玉置 卓

    • URL

      http://www.lab2.kuis.kyoto-u.ac.jp/~tamak/index-j.html

    • Related Report
      2013 Annual Research Report
  • [Remarks] 玉置卓

    • URL

      http://www.lab2.kuis.kyoto-u.ac.jp/~tamak/index-j.html

    • Related Report
      2012 Research-status Report
  • [Remarks]

    • URL

      http://www.lab2.kuis.kyoto-u.ac.jp/~tamak/

    • Related Report
      2011 Research-status Report

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Published: 2011-08-05   Modified: 2019-07-29  

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