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Design Theory of Algorithms for Partial k-Trees

Research Project

Project/Area Number 19500001
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Fundamental theory of informatics
Research InstitutionTohoku University

Principal Investigator

ZHOU Xiao  Tohoku University, 大学院・情報科学研究科, 准教授 (10272022)

Co-Investigator(Kenkyū-buntansha) 西関 隆夫  東北大学, 大学院・情報科学研究科, 教授 (80005545)
Project Period (FY) 2007 – 2009
Project Status Completed (Fiscal Year 2009)
Budget Amount *help
¥4,550,000 (Direct Cost: ¥3,500,000、Indirect Cost: ¥1,050,000)
Fiscal Year 2009: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2008: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2007: ¥2,080,000 (Direct Cost: ¥1,600,000、Indirect Cost: ¥480,000)
Keywordsアルゴリズム / 部分k木 / 分解木 / 多項式時間 / 線形時間 / 彩色
Research Abstract

In this research, I succeeded to solve some combination optimization and build the methodology that could generate efficient algorithm to solve those problems automatically. Furthermore, for a small k, say one (trees) or two (series-parallel graphs), it succeeded to develop polynomial-time algorithm for solving many combination problem. Inspection of effectiveness of the technique was possible theoretically. In this research, I have published 8 journal papers and 3 international conference papers. As a result of having been provided, I give a design theory of linear-time algorithms. Its impact in a field of a linear-time algorithm theory is very important.

Report

(4 results)
  • 2009 Annual Research Report   Final Research Report ( PDF )
  • 2008 Annual Research Report
  • 2007 Annual Research Report
  • Research Products

    (30 results)

All 2010 2009 2008 2007 Other

All Journal Article (21 results) (of which Peer Reviewed: 21 results) Presentation (6 results) Remarks (3 results)

  • [Journal Article] Partitioning graphs with supply and demand2009

    • Author(s)
      Takehiro Ito, Xiao Zhou, Takao Nishizeki
    • Journal Title

      Discrete Applied Math. 157

      Pages: 2620-2633

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Efficient algorithms for wavelength assignment on trees of rings2009

    • Author(s)
      Zhengbing Bian, Qianping Gu, Xiao Zhou
    • Journal Title

      Discrete Applied Mathematics 157

      Pages: 875-889

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Partitioning graphs with supply and demand2009

    • Author(s)
      T.Ito, X.Zhou, T.Nishizeki
    • Journal Title

      Discrete Applied Math. 157

      Pages: 2620-2633

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Efficient algorithms for wavelength assignment on trees of rings2009

    • Author(s)
      Z. B. Bian, Q. P. Gu, X. Zhou
    • Journal Title

      Discrete Applied Mathematics 157

      Pages: 875-889

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Partitioning graphs with supply and demand2009

    • Author(s)
      T. Ito, X. Zhou, T. Nishizek
    • Journal Title

      Discrete Applied Mathematics (印刷中)

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Orthogonal drawings of series-parallel graphs with minimum bends2008

    • Author(s)
      Xiao Zhou, Takao Nishizek
    • Journal Title

      SIAM J.Discrete Math. 22

      Pages: 1570-1604

    • NAID

      110003499880

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Approximability of partitioning graphs with supply and demand2008

    • Author(s)
      Takehiro Ito, Erik D. Demaine, Xiao Zhou, Takao Nishizeki
    • Journal Title

      Journal of Discrete Algorithms 6

      Pages: 627-650

    • NAID

      110004851550

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Approximability of partitioning graphs with supply and demand2008

    • Author(s)
      T. Ito, E. D. Demaine, X. Zhou, T. Nishizek
    • Journal Title

      Journal of Discrete Algorithms 6

      Pages: 627-650

    • NAID

      110004851550

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Orthogonal drawings of series-parallel graphs with minimum bends2008

    • Author(s)
      X. Zhou, T. Nishizek
    • Journal Title

      SIAM J. Discrete Math 22

      Pages: 1570-1604

    • NAID

      110003499880

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] List total colorings of series-parallel graphs2007

    • Author(s)
      Yuki Matsuo, Xiao Zhou, Takao Nishizeki
    • Journal Title

      IEICE Trans.on Fundamentals of Electronics, Communications and Computer Sciences E90-A

      Pages: 907-916

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Algorithms for finding distance-edge-colorings of graphs2007

    • Author(s)
      Takehiro Ito, Akira Kato, Xiao Zhou, Takao Nishizeki
    • Journal Title

      Journal of Discrete Algorithms 5

      Pages: 304-322

    • NAID

      10015530666

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Partitioning a multi-weighted graph to connected subgraphs of almost uniform size2007

    • Author(s)
      Takehiro Ito, Kazuya Goto, Xiao Zhou, Takao Nishizeki
    • Journal Title

      IEICE Trans. on Information and Systems E90-D

      Pages: 449-456

    • NAID

      130005444301

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Total colorings of degenerate graphs2007

    • Author(s)
      Shuji Isobe, Xiao Zhou, Takao Nishizeki
    • Journal Title

      Combinatorica 27

      Pages: 167-182

    • NAID

      110003191839

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] List total colorings of series-parallel graphs2007

    • Author(s)
      Y. Matsuo, X. Zhou and T. Nishizeki
    • Journal Title

      IEICE Trans. on Fundamentals of Electronics, Communication and Computer Science E90-A

      Pages: 907-916

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Partitioning a multi-weighted graph to connected subgraphs of almost uniform size2007

    • Author(s)
      T. Ito, K. Goto, X. Zhou and T. Nishizeki
    • Journal Title

      IEICE Trans. on Information and Systems E90-D

      Pages: 449-456

    • NAID

      130005444301

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Algorithms for finding distance-edge-colorings of graphs2007

    • Author(s)
      T. Ito, K. Goto, X. Zhou and T. Nishizeki
    • Journal Title

      Journal of Discrete Algorithms 5

      Pages: 304-322

    • NAID

      10015530666

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Total colorings of degenerate graphs2007

    • Author(s)
      S. Isobe, X. Zhou and T. Nishizeki
    • Journal Title

      Combinatorica 27

      Pages: 167-182

    • NAID

      110003191839

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Efficient algorithms for wavelength assignment on trees of rings

    • Author(s)
      Z.Bian, Q.Gu, X.Zhou
    • Journal Title

      Discrete Applied Mathematics 157

      Pages: 875-889

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Approximability of partitioning graphs with supply and demand

    • Author(s)
      T. Ito, E. Demaine, X. Zhou and T. Nishizeki
    • Journal Title

      Journal of Discrete Algorithms (採録決定)

    • NAID

      110004851550

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Orthogonal drawings of series-parallel graphs with minimum bends

    • Author(s)
      X. Zhou and T. Nishizeki
    • Journal Title

      SIAM J. Discrete Math. (採録決定)

    • NAID

      110003499880

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Partitioning graphs with supply and demand

    • Author(s)
      T. Ito, X. Zhou and T. Nishizeki
    • Journal Title

      Discrete Applied Math. (採録決定)

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Presentation] Grid drawings of planar graphs with balanced bipartition2010

    • Author(s)
      Xiao Zhou, Takashi Hikino, Takao Nishizeki
    • Organizer
      Proc. of the 4th Workshop on Algorithms and Computation (WALCOM'10), Lect. Notes in Computer Science, Springer
    • Place of Presentation
      Dhaka, Bangladesh
    • Related Report
      2009 Final Research Report
  • [Presentation] Grid drawings of planar graphs with balanced bipartition2010

    • Author(s)
      X.Zhou, T.Hikino, T.Nishizeki
    • Organizer
      In Proc.of the 4th Workshop on Algorithms and Computation(WALCOM'10), Lect.Notes in Computer Science, Springer
    • Place of Presentation
      Dhaka, Bangladesh
    • Related Report
      2009 Annual Research Report
  • [Presentation] Convex drawings of internally triconnected plane graphs on O(n^2) grids2009

    • Author(s)
      Xiao Zhou, Takao Nishizeki
    • Organizer
      Proc. of the 20th Annual International Symposium on Algorithms and Computation (ISAAC'09), Lect. Notes in Computer Science, Springer
    • Place of Presentation
      Hawaii, USA
    • Related Report
      2009 Final Research Report
  • [Presentation] Convex drawings of internally triconnected plane graphs on O(n^2)grids2009

    • Author(s)
      X.Zhou, T.Nishizeki
    • Organizer
      In Proc.of the 20th Annual International Symposium on Algorithms and Computation(ISAAC'09), Lect.Notes in Computer Science. Springer
    • Place of Presentation
      Hawaii, USA
    • Related Report
      2009 Annual Research Report
  • [Presentation] Partitioning a weighted tree to subtrees of almost uniform size2008

    • Author(s)
      T. Ito, T. Uno, X. Zhou, T. Nishizek
    • Organizer
      Proc. of ISAAC'08, LNCS., Springer, 5369, pp. 196-207, 2008
    • Place of Presentation
      オーストラリアゴールドコースト
    • Year and Date
      2008-12-17
    • Related Report
      2008 Annual Research Report
  • [Presentation] Partitioning a weighted tree to subtrees of almost uniform size2008

    • Author(s)
      Takehiro Ito, Takeaki Uno, Xiao Zhou, Takao Nishizeki
    • Organizer
      Proc. of the 19th Annual International Symposium on Algorithms and Computation (ISAAC'08), Lect. Notes in Computer Science, Springer
    • Place of Presentation
      Gold Coast, Australia
    • Related Report
      2009 Final Research Report
  • [Remarks] ホームページ等

    • URL

      http://www.ecei.tohoku.ac.jp/alg/zhou/

    • Related Report
      2009 Final Research Report
  • [Remarks]

    • URL

      http://www.nishizeki.ecei.tohoku.ac.jp/nszk/zhou/

    • Related Report
      2009 Annual Research Report
  • [Remarks]

    • URL

      http://www.nishizeki.ecei.tohoku.ac.jp/nszk/zhou/

    • Related Report
      2008 Annual Research Report

URL: 

Published: 2007-04-01   Modified: 2016-04-21  

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