Algorithmic exact approach to game theory on graphs and networks
Project/Area Number |
18710130
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Research Category |
Grant-in-Aid for Young Scientists (B)
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Allocation Type | Single-year Grants |
Research Field |
Social systems engineering/Safety system
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Research Institution | Tokyo Institute of Technology (2007-2008) Toyohashi University of Technology (2006) |
Principal Investigator |
OKAMOTO Yoshio Tokyo Institute of Technology, 大学院・情報理工学研究科, 特任准教授 (00402660)
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Project Period (FY) |
2006 – 2008
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Project Status |
Completed (Fiscal Year 2008)
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Budget Amount *help |
¥3,800,000 (Direct Cost: ¥3,500,000、Indirect Cost: ¥300,000)
Fiscal Year 2008: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2007: ¥1,200,000 (Direct Cost: ¥1,200,000)
Fiscal Year 2006: ¥1,300,000 (Direct Cost: ¥1,300,000)
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Keywords | OR / アルゴリズム理論 / 組合せ最適化 / ゲーム理論 / アルゴリズム / グラフ / ネットワーク / 計算幾何 / オペレーションズ・リサーチ / 多主体意思決定 / 公平配分問題 |
Research Abstract |
グラフ・ネットワークに関わる協力ゲーム理論について,アルゴリズム理論・計算理論の観点から精緻な議論を行った.特に,最小彩色ゲームと呼ばれる費用分担問題に対して,今までに提案された公平な費用分担の中のいくつかが効率よく計算できることを示した.それに加えて,コア安定性問題に対する計算量理論的な解析も行った.さらに,最小費用全域木ゲームと呼ばれる費用分担問題に対して,公平費用分担が効率よく計算できるための十分条件である劣モジュラ性を満たす場合の考察をした.
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Report
(4 results)
Research Products
(82 results)
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[Journal Article] Untangling a planar graph.2009
Author(s)
Xavier Goaoc, Jan Kratochvil, Yoshio Okamoto, Chan-Su Shin, Andreas Spillner, Alexander Wolff
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Journal Title
Discrete & Computational Geometry 42
Pages: 542-569
Related Report
Peer Reviewed
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[Journal Article] Untangling a planar graph2009
Author(s)
Xavier Goaoc, Jan Kratochvil, Yoshio Okamoto, Chan-Su Shin, Andreas Spillner, Alexander Wolff
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Journal Title
Discrete & Computational Geometry 42
Pages: 542-569
Related Report
Peer Reviewed
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[Presentation] How to make a picturesque maze.2009
Author(s)
Yoshio Okamoto, Ryuhei Uehara
Organizer
21st Canadian Conference on Computational Geometry (CCCG 2009)
Place of Presentation
University of British Columbia, Canada
Year and Date
2009-08-18
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[Presentation] 絵画的迷路の作り方2009
Author(s)
岡本吉央
Organizer
2008年度冬のLAシンポジウム
Place of Presentation
京都大学数理解析研究所
Year and Date
2009-02-02
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[Presentation] binary tanglegrams: Hardness, approximation, fixed-parameter tractability.2008
Author(s)
Kevin Buchin, Maike Buchin, Jaroslaw Byrka, Marin Nollenburg, Yoshio Okamoto, Rodrigo I. Silveira, Alexander Wolff
Organizer
16th International Symposium on Graph Drawing (GD 2008)
Place of Presentation
Aldemar Knossos Royal Village Hotel, Hersonissos, Crete, Greece
Year and Date
2008-09-24
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[Presentation] Improved bounds for wireless localization.2008
Author(s)
Tobias Christ, Michael Hoffmann, Yoshio Okamoto, Takeaki Uno
Organizer
11th Scandinavian Workshop on Algorithm Theory (SWAT 2008)
Place of Presentation
Scandic Opalen Conference Center, Goteborg, Sweden
Year and Date
2008-07-02
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[Presentation] Moving vertices to make drawings plane.2007
Author(s)
Xavier Goaoc, Jan Kratochvil, Yoshio Okamoto, Chan-Su Shin, Alexander Wolff
Organizer
15th International Symposium on Graph Drawing (GD 2007)
Place of Presentation
Swiss-Grand Resort & Spa Bondi Beach, Sydney, Australia
Year and Date
2007-09-24
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[Presentation] Separating a bicolored point set by spheres.2007
Author(s)
Yoshio Okamoto, Hideki Tsubouchi
Organizer
Kyoto International Conference on Computational Geometry and Graph Theory in honor of Jin Akiyama and Vasek Chvatal on their 60th birthdays.
Place of Presentation
京都大学
Year and Date
2007-06-11
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