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Efficient Algorithms for Partitionings, Colorings and Drawings of Graphs and their Applications

Research Project

Project/Area Number 21500001
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Fundamental theory of informatics
Research InstitutionKwansei Gakuin University (2010-2013)
Tohoku University (2009)

Principal Investigator

NISHIZEKI Takao  関西学院大学, 理工学部, 教授 (80005545)

Co-Investigator(Renkei-kenkyūsha) ZHOU Xiao  東北大学, 大学院情報科学研究科, 教授 (10272022)
ITO Takehiro  東北大学, 大学院情報科学研究科, 准教授 (40431548)
UCHIZAWA Kei  山形大学, 工学部, 准教授 (90510248)
Project Period (FY) 2009-04-01 – 2014-03-31
Project Status Completed (Fiscal Year 2013)
Budget Amount *help
¥4,550,000 (Direct Cost: ¥3,500,000、Indirect Cost: ¥1,050,000)
Fiscal Year 2013: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2012: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2011: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2010: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2009: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Keywordsグラフ / アルゴリズム / 分割 / 彩色 / 描画 / 全域配送林 / 直並列グラフ / 部分k木 / 公平連結分割 / 辺容量 / 擬多項式時間 / グラフ分割 / グラフ彩色 / グラフ描画 / 格子凸描画 / 内部3連結グラフ / 3連結成分分解木 / アルゴリズム理論 / 離散構造 / 設計自動化 / VLSI設計
Research Abstract

This research develops efficient algorithms for the partitioning, coloring and drawing problems of graphs, and applies them to practical problems in real world. One of the representative results is an algorithm for the fairest connected partition problem. It partitions a weighted graph G to a specified number of connected subgraphs by deleting edges from G so that the difference between the maximum sum of weights in a subgraph and the minimum one is as small as possible.

Report

(6 results)
  • 2013 Annual Research Report   Final Research Report ( PDF )
  • 2012 Annual Research Report
  • 2011 Annual Research Report
  • 2010 Annual Research Report
  • 2009 Annual Research Report
  • Research Products

    (44 results)

All 2014 2013 2012 2011 2010 2009 Other

All Journal Article (20 results) (of which Peer Reviewed: 20 results) Presentation (19 results) Book (4 results) Remarks (1 results)

  • [Journal Article] Spanning Distribution Trees of Graphs2014

    • Author(s)
      M. Kawabata, T. Nishizeki
    • Journal Title

      IEICE Transactions on Information and Systems

      Volume: E97.D Issue: 3 Pages: 406-412

    • DOI

      10.1587/transinf.E97.D.406

    • NAID

      130003394855

    • ISSN
      0916-8532, 1745-1361
    • Related Report
      2013 Annual Research Report 2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] Parametric power supply networks2014

    • Author(s)
      S. Morishita, T. Nishizeki
    • Journal Title

      J. Comb. Optim.

      Volume: 印刷中 Issue: 1 Pages: 1-15

    • DOI

      10.1007/s10878-013-9661-5

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Partitioning trees with supply, demand and edge-capacity2013

    • Author(s)
      M. Kawabata, T. Nishizeki
    • Journal Title

      IEICE Trans. on Fundamentals of Elec. Comm. & Comp. Sci.

      Volume: E96-A, No.6 Pages: 1036-1043

    • NAID

      110008746413

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Small grid drawings of planar graphs with balanced partition2012

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

      J. Combinatorial Optimization

      Volume: 24 Issue: 2 Pages: 99-115

    • DOI

      10.1007/s10878-011-9381-7

    • Related Report
      2013 Final Research Report 2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Partitioning a weighted tree into subtrees with weights in a given range2012

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

      Algorithmica

      Volume: 62-3 Issue: 3-4 Pages: 823-841

    • DOI

      10.1007/s00453-010-9485-y

    • Related Report
      2013 Final Research Report 2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Absolutely secure messsage transmission using a key sharing graph2012

    • Author(s)
      T. Nishizeki, Y. Indo
    • Journal Title

      Discrete Math., Algorithms and Appl.

      Volume: 4 Issue: 04 Pages: 1250053-1250053

    • DOI

      10.1142/s179383091250053x

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Minimum cost partitions of trees with supply and demand2012

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

      Algorithmica

      Volume: 64 Issue: 3 Pages: 400-415

    • DOI

      10.1007/s00453-011-9573-7

    • NAID

      110008676163

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] 内部3連結グラフの格子凸描画2012

    • Author(s)
      西関隆夫, 橋本友也
    • Journal Title

      電子情報通信学会論文誌D

      Volume: J95-D-3 Pages: 356-365

    • NAID

      110008746412

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Minimum Cost Edge-Colorings of Trees Can Be Reduced to Matchings2011

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

      IEICE Transactions on Information and Systems

      Volume: E94-D Issue: 2 Pages: 190-195

    • DOI

      10.1587/transinf.E94.D.190

    • NAID

      130000453878

    • ISSN
      0916-8532, 1745-1361
    • Related Report
      2013 Final Research Report 2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Size-energy tradeoffs for unite circuits computing symmetric Boolean functions2011

    • Author(s)
      T.Nishizeki, K.Uchizawa
    • Journal Title

      Theoretical Computer Science

      Volume: 412 Issue: 8-10 Pages: 773-782

    • DOI

      10.1016/j.tcs.2010.11.022

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Minimum cost edge-colorings of trees can be reduced to matchings2011

    • Author(s)
      T.Ito
    • Journal Title

      IEICE Trans.

      Volume: 94-D Pages: 190-195

    • NAID

      130000453878

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Size-energy tradeoffs for unate circuits computing symmetric Boolean functions2011

    • Author(s)
      K.Uchizawa
    • Journal Title

      Theoretical Computer Science

      Volume: 412 Pages: 773-782

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Energy and depth of threshold circuits2010

    • Author(s)
      K.Uchizawa
    • Journal Title

      Theoretical Computer Science

      Volume: 411 Pages: 3938-3946

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Convex drawings of internally triconnected plane graphs on O(n^2) grids2010

    • Author(s)
      X.Zhou
    • Journal Title

      Discrete Math., Alg.and Appl.

      Volume: 2 Pages: 347-362

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Minimizing AND-EXOR expressions for two-variable multiple-valued input binary output functions2010

    • Author(s)
      T.Mizuki, H.Tsubata, T.Nishizeki
    • Journal Title

      Journal of Multiple-Valued Logic and Soft Computing Vol.16, Nos.1-2

      Pages: 197-208

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Octagonal drawings of plane graphs with prescribed face areas2009

    • Author(s)
      Md. S. Rahman, K. Miura, T. Nishizeki
    • Journal Title

      Computational Geometry : Theory and Applications

      Volume: 42-3 Issue: 3 Pages: 214-230

    • DOI

      10.1016/j.comgeo.2008.09.002

    • NAID

      110003178794

    • Related Report
      2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] Octagonal drawings of plane graphs with prescribed face areas2009

    • Author(s)
      Md.S.Rahman, K.Miura, T.Nishizeki
    • Journal Title

      Computational Geometry : Theory and Applications Vol.42, No.3

      Pages: 214-230

    • NAID

      110003178794

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Open rectangle-of-influence drawings of inner triangulated plane graphs2009

    • Author(s)
      K.Miura, T.Matsuno, T.Nishizeki
    • Journal Title

      Discrete and Computational Geometry 41

      Pages: 643-670

    • NAID

      110004851549

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Efficient compression of web graphs2009

    • Author(s)
      Y.Asano, Y.Miyawaki, T.Nishizeki
    • Journal Title

      IEICE Trans.Fundamentals Vol.E92-A, No.10

      Pages: 2454-2462

    • NAID

      10026860065

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

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

      Discrete Applied Mathematics Vol.157, Issue 12

      Pages: 2620-2633

    • NAID

      110003206419

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Presentation] Spanning Distribution Trees of Graphs2013

    • Author(s)
      T. Nishizeki
    • Organizer
      FAW-AAIM 2013
    • Place of Presentation
      大連海事大学,中国
    • Year and Date
      2013-06-26
    • Related Report
      2013 Final Research Report
  • [Presentation] Parametric Power Supply Networks2013

    • Author(s)
      T. Nishizeki
    • Organizer
      COCOON 2013
    • Place of Presentation
      杭州浙江大学,中国
    • Year and Date
      2013-06-21
    • Related Report
      2013 Final Research Report
  • [Presentation] Algorithms for Bandwidth Consecutive Multicolorings of Graphs2012

    • Author(s)
      T. Nishizeki
    • Organizer
      FAW-AAIM 2012
    • Place of Presentation
      北京大学,中国
    • Year and Date
      2012-05-14
    • Related Report
      2013 Final Research Report
  • [Presentation] Partitioning trees with supply, demand and edge-capacity-Extended Absutract-2011

    • Author(s)
      M.Kawabata, T.Nishizeki
    • Organizer
      ISORA2011
    • Place of Presentation
      中国,敦煌
    • Year and Date
      2011-08-28
    • Related Report
      2011 Annual Research Report
  • [Presentation] Absolutely secure message transmission using a key sharing graph-Extended Abstract-2011

    • Author(s)
      Y.Indo, T.Mizuki, T.Nishizeki
    • Organizer
      ISORA2011
    • Place of Presentation
      中国,敦煌
    • Year and Date
      2011-08-28
    • Related Report
      2011 Annual Research Report
  • [Presentation] Minimum cost partitions of trees with supply and demand2010

    • Author(s)
      T. Nishizeki
    • Organizer
      ISAAC 2010
    • Place of Presentation
      amada Plaza Jeju, Korea
    • Year and Date
      2010-12-17
    • Related Report
      2013 Final Research Report
  • [Presentation] Minimum cost partitions of trees with supply and demand2010

    • Author(s)
      T.Ito
    • Organizer
      ISAAC 2010
    • Place of Presentation
      韓国 済州島
    • Year and Date
      2010-12-17
    • Related Report
      2010 Annual Research Report
  • [Presentation] Minimum cost edge-colorings of trees can be reduced to matchings2010

    • Author(s)
      T.Ito
    • Organizer
      FAW 2010
    • Place of Presentation
      中国 武漢
    • Year and Date
      2010-08-13
    • Related Report
      2010 Annual Research Report
  • [Presentation] Size and energy of unate circuits computing symmetric Boolean functions2010

    • Author(s)
      K.Uchizawa
    • Organizer
      WAAC 2010
    • Place of Presentation
      金沢市文化ホール
    • Year and Date
      2010-07-23
    • Related Report
      2010 Annual Research Report
  • [Presentation] Small grid drawings of planar graphs with balanced bipartition2010

    • Author(s)
      X.Zhou, T.Hikino, T.Nishizeki
    • Organizer
      WALCOM 2010
    • Place of Presentation
      BUET (バングラデシュ)
    • Year and Date
      2010-02-10
    • Related Report
      2009 Annual Research Report
  • [Presentation] Convex drawings of internal triconnected plane graphs on O(n^ 2) grids2009

    • Author(s)
      X. Zhou
    • Organizer
      ISAAC 2009
    • Place of Presentation
      Ala Moana Hotel, USA
    • Year and Date
      2009-12-18
    • Related Report
      2013 Final Research Report
  • [Presentation] Convex drawings of internally triconnected plane graphs on O(n^2)grids2009

    • Author(s)
      X.Zhou, T.Nishizeki
    • Organizer
      ISAAC 2009
    • Place of Presentation
      Ala Moana Hotel (アメリカ)
    • Year and Date
      2009-12-18
    • Related Report
      2009 Annual Research Report
  • [Presentation] Energy complexity and depth of threshold circuits2009

    • Author(s)
      K.Uchizawa, T.Nishizeki, E.Takimoto
    • Organizer
      FCT 2009
    • Place of Presentation
      ブロツワフ工科大学(ポーランド)
    • Year and Date
      2009-09-02
    • Related Report
      2009 Annual Research Report
  • [Presentation] Size and energy of threshold circuits computing mod functions2009

    • Author(s)
      K.Uchizawa, T.Nishizeki, E.Takimoto
    • Organizer
      MFCS 2009
    • Place of Presentation
      Novy Smokoveg, High Tatras (スロバキア)
    • Year and Date
      2009-08-28
    • Related Report
      2009 Annual Research Report
  • [Presentation] Parametric Power Supply Networks

    • Author(s)
      S. Morishita, T. Nishizeki
    • Organizer
      COCOON 2013
    • Place of Presentation
      杭州浙江大学,中国
    • Related Report
      2013 Annual Research Report
  • [Presentation] Spanning Distribution Trees of Graphs

    • Author(s)
      M. Kawabata, T. Nishizeki
    • Organizer
      FAW-AAIM 2013
    • Place of Presentation
      大連海事大学,中国
    • Related Report
      2013 Annual Research Report
  • [Presentation] Algorithms for Bandwidth Consecutive Multicolorings of Graphs

    • Author(s)
      T. Nishizeki
    • Organizer
      FAW-AAIM2013
    • Place of Presentation
      北京大学, 中国
    • Related Report
      2012 Annual Research Report
  • [Presentation] Parametric Power Supply Network

    • Author(s)
      T. Nishizeki
    • Organizer
      情報処理学会アルゴリズム研究会
    • Place of Presentation
      飯坂温泉伊勢谷,福島市
    • Related Report
      2012 Annual Research Report
  • [Presentation] 直並列グラフの全域配送木

    • Author(s)
      T. Nishizeki
    • Organizer
      情報処理学会アルゴリズム研究会
    • Place of Presentation
      飯坂温泉伊勢谷,福島市
    • Related Report
      2012 Annual Research Report
  • [Book] Handbook of Graph Drawing and Visualization2013

    • Author(s)
      T. Nishizeki, M. D. Saidur
    • Total Pages
      31
    • Publisher
      CRC Press Boca Raton
    • Related Report
      2013 Final Research Report
  • [Book] Handbook of Graph Drawing and Visualization2013

    • Author(s)
      T. Nishizeki, M. D. Saidur
    • Total Pages
      31
    • Publisher
      CRC Press, Boca Raton
    • Related Report
      2013 Annual Research Report
  • [Book] 「情報処理学会50年のあゆみ」グラフアルゴリズム2010

    • Author(s)
      西関隆夫
    • Total Pages
      3
    • Related Report
      2013 Final Research Report
  • [Book] 「情報処理学会50年のあゆみ」の章「グラフアルゴリズム」2010

    • Author(s)
      西関隆夫
    • Total Pages
      3
    • Publisher
      情報処理学会
    • Related Report
      2010 Annual Research Report
  • [Remarks]

    • URL

      http://ist.ksc.kwansei.ac.jp/~nishi/lab

    • Related Report
      2013 Final Research Report

URL: 

Published: 2009-04-01   Modified: 2019-07-29  

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