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Aesthetic Drawing Algorithms for Graphs

Research Project

Project/Area Number 10205202
Research Category

Grant-in-Aid for Scientific Research on Priority Areas (B)

Allocation TypeSingle-year Grants
Research InstitutionGunma University (1999-2001)
Tohoku University (1998)

Principal Investigator

NAKANO Shin-ichi  Gunma University, Faculty of Engineering, Associate Professor, 工学部, 助教授 (30227855)

Co-Investigator(Kenkyū-buntansha) YAMAZAKI Koichi  Gunma University, Faculty of Engineering, Lecturer, 工学部, 講師 (00246662)
Project Period (FY) 1998 – 2000
Project Status Completed (Fiscal Year 2001)
Budget Amount *help
¥9,700,000 (Direct Cost: ¥9,700,000)
Fiscal Year 2000: ¥2,500,000 (Direct Cost: ¥2,500,000)
Fiscal Year 1999: ¥3,000,000 (Direct Cost: ¥3,000,000)
Fiscal Year 1998: ¥4,200,000 (Direct Cost: ¥4,200,000)
KeywordsGraphs / Algorithm / Optimization / Information Visualization / Visualization / 平面グラフ / 描画 / マップラベリング / グラフ描画
Research Abstract

Automatic aesthetic drawings of graphs have created intense interest due to their broad applications. Generally we can formalize the drawing problems as multi stage optimization problems for some criterions. In this project we have formalized some basic drawing problems and design algorithms to solve them. Also we have improved some known drawing algorithms. We have presented these results at many international conferences and many international academic journals.
Also we have implemented a practical graph drawing system as Java software. We have implemented a graph editor, some system core, some basic drawing algorithms. The system support to plug in new drawing algorithms we are planning to implement in the future.
We also design some algorithms those are needed to develop our graph drawing software system. We have designed new generating algorithms for graphs. The algorithms systematically generate graphs with designated property without repetitions, also efficiently. By the algorithm we can test our system for all possible input graphs, so we have improved system reliability. We have designed those algorithms for many class of graphs, and we have presented these results at many international conferences.

Report

(4 results)
  • 2001 Final Research Report Summary
  • 2000 Annual Research Report
  • 1999 Annual Research Report
  • 1998 Annual Research Report
  • Research Products

    (31 results)

All Other

All Publications (31 results)

  • [Publications] Rahman, Nakano, Nishizeki: "A Linear Algorithm for Bend-Optimal Orthogonal Drawings of Triconnected Cubic Plane Graphs"Journal of Graph Algorithms and Applications. 3. 31-62 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Rahman, Nakano, Nishizeki: "Box-rectangular Drawings of Plane Graphs"Journal of Algorithms. 37. 363-398 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Miura, Nakano, Nishizeki: "Grid Drawings of Four-connected Plane Graphs"Proc.of GraphDrawing99,Lecture Notes in Computer Science. 1731. 145-154 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Rahman, Nakano, Nishizeki: "Rectangular Drawings of Plane Graphs without Designated Corners"Proc.of COCOON 2000,Lecture Notes in Computer Science. 1858. 85-94 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Miura, Nakano, Nishizeki: "Convex Grid Drawings of Four-Connected Plane Graphs"Proc.of ISAAC 2000,Lecture Notes in Computer Science. 1969. 254-265 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Li, Nakano: "Efficient Generation of Plane Triangulations without Repetitions"Proc.of ICALP 2001,Lecture Notes in Computer Science. 2076. 433-443 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] 中野、他4名: "離散構造とアルゴリズムVII"近代科学社. 204 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Md. Saidur Rahman, Shin-ichi Nakano and Takao Nishizeki: "A Linear Algorithm for Bend-Optimal Orthogonal Drawings of Triconnected Cubic Plane Graphs"Journal of Graph Algorithms and Applications. Vol. 3, No. 4. 31-62 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Md. Saidur Rahman, Shin-ichi Nakano and Takao Nishizeki: "Box-rectangular Drawings of Plane Graphs"Journal of Algorithms. Vol. 37, No.2. 363-398 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Kazuyuki Miura, Shin-ichi Nakano and Takao Nishizeki: "Grid Drawings of Four-connected Plane Graphs"Proc. of GraphDrawing99, LNCS. 1731. 145-154 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Md. Saidur Rahman, Shin-ichi Nakano, Takao Nishizeki: "Rectangular Drawings of Plane Graphs without Designated Corners"Proc. of 6th Annual International Conference, COCOON 2000, LNCS. 1858. 85-94 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Kazuyuki Miura, Shin-ichi Nakano, Takao Nishizeki: "Convex Grid Drawings of Four-Connected Plane Graphs"Proc. of ISAAC 2000, LNCS. 1969. 254-265 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Zhangjian Li and Shin-ichi Nakano: "Efficient Generation of Plane Triangulations without Repetitions"Proc. of ICALP 2001, LNCS. 2076. 433-443 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Md.Saidur Rahman,Shin-ichi Nakano,Takao Nishizeki: "Rectangular Drawings of Plane Graphys without Designated Corners"Proc.of 6th Annual International Conference, COCOON2000. LNCS,1858. 85-94 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] Shin-ichi NAKANO: "Planar Drawings of Plane Graphs"IEICE TRANS.INF.& SYST.,. Vol.E83-D. 384-391 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] Shin-ichi Nakano,Takao Nishizeki,Takeshi Tokuyama: "Labeling Points with Rectangles of Various Shapes"Proc.of Graph Drawing 2000. LNCS,1984. 91-102 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] Md.Saidur Rahman,Shin-ichi Nakano and Takao Nishizeki: "A Linear Algorithm for Bend-Optimal Orthogonal Drawings of Triconnected Cubic Plane Graphs"Journal of Graph Algorithms and Applications. Vol.3. 31-62 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] Md.Saidur Rahman,Shin-ichi Nakano and Takao Nishizeki: "Box-rectangular Drawings of Plane Graphs"Journal of Algorithms. Vol.37. 363-398 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] K.Miura,S.Nakano,T.Nishizeki: "Grid Drawings of Four-connected Plane Graphs"Discrete & Computational Geometry 採録. (印刷中).

    • Related Report
      2000 Annual Research Report
  • [Publications] 中野 他5名: "離散構造とアルゴリズム,7"近代科学社. 37 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] 中野眞一,西関隆夫: "グラフの自動描画"電子情報通信学会学会誌,. Vol.82. 178-180 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] 中野眞一: "グラフの自動描画"日本応用数理学会学会誌. Vol.9,no.1. 2-11 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] Shin-ichi Nakano: "Planar Drawings of Plane Graphs"電子情報通信学会論文誌英文誌,Special Issue in Algorithm Engineering. Vol.E83-D no.3. 69-77 (2000)

    • Related Report
      1999 Annual Research Report
  • [Publications] K.Miura,D.Takahashi,S.Nakano,T.Nishizeki: "A Linear-Time Algorithm to Find Four Independent Spanning Trees in Four-Connected Plane Graphs"International Journal of Foundations of Computer Science,. Vol.10 no.2. 195-210 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] Md.Saidur Rahman,Shin-ichi Nakano and Takao Nishizeki: "A Linear Algorithm for Bend-Optimal Orthogonal Drawings of Triconnected Cubic Plane Graphs"Journal of Graph Algorithms and Applications,. (99.4.22accepted).

    • Related Report
      1999 Annual Research Report
  • [Publications] Md.Saidur Rahman,Shin-ichi Nakano and Takao Nishizeki: "Box-rectangular drawings of plane graphs"Journal of Algorithms,. (00.1.30accepted).

    • Related Report
      1999 Annual Research Report
  • [Publications] Md.Saidur Rahman,Shin-ichi Nakano and Takao Nishizeki,: "Rectagular Grid Drawings of Plane Graphs" Computational Geometry:Theory and Applications. Vol.10. 203-220 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] Marek Chrobak and Shin-ichi Nakano: "Minimum-width grid drawings of plane graphs" Computational Geometry:Theory and Applications. Vol.11. 29-54 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] Md.Saidur Rahman,Shin-ichi Nakano and Takao Nishizeki: "A Linear Algorithm for Optimal Orthogonal Drawings of Triconnected Cubic Plane Graphs" Graph Drawing97,Roma,Lect.Notes in Comp.Sci.,1353,Springer. 1353. 99-110 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] K.Miura,D.Takahashi,S.Nakano,T.Nishizeki: "A Linear-Time Algorithm to Find Four Independent Spanning Trees in Four-Connected Planar Graphs" WG'98,Lect.Notes in Comp.Sci.,1517,Springer. 1517. 310-323 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] Md.Saidur Rahman,Shin-ichi Nakano and Takao Nishizeki: "Box-Rectangular Drawings with Designated Four Corners" Proc.of ICCIT98. 37-41 (1998)

    • Related Report
      1998 Annual Research Report

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Published: 1998-04-01   Modified: 2016-04-21  

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