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2008 Fiscal Year Final Research Report

Algorithmic exact approach to game theory on graphs and networks

Research Project

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Project/Area Number 18710130
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeSingle-year Grants
Research Field Social systems engineering/Safety system
Research InstitutionTokyo 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)

Project Period (FY) 2006 – 2008
KeywordsOR / アルゴリズム理論
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.

  • Research Products

    (35 results)

All 2009 2008 2007 2006

All Journal Article (11 results) (of which Peer Reviewed: 11 results) Presentation (24 results)

  • [Journal Article] Untangling a planar graph.2009

    • Author(s)
      Xavier Goaoc, Jan Kratochvil, Yoshio Okamoto, Chan-Su Shin, Andreas Spillner, Alexander Wolff
    • Journal Title

      Discrete & Computational Geometry 42

      Pages: 542-569

    • Peer Reviewed
  • [Journal Article] The Holt-Klee condition for oriented matroids.2009

    • Author(s)
      Komei Fukuda, Sonoko Moriyama, Yoshio Okamoto
    • Journal Title

      European Journal of Combinatorics 30

      Pages: 1854-1867

    • Peer Reviewed
  • [Journal Article] Fast exponential-time algorithms for the forest counting and the Tutte polynomial computation.2009

    • Author(s)
      Heidi Gebauer, Yoshio Okamoto
    • Journal Title

      International Journal of Foundations of Computer Science 20

      Pages: 25-44

    • Peer Reviewed
  • [Journal Article] Local topology of the free complex of a two-dimensional generalized convex shelling.2008

    • Author(s)
      Yoshio Okamoto
    • Journal Title

      Discrete Mathematics 308

      Pages: 3836-3846

    • Peer Reviewed
  • [Journal Article] Counting the number of independent sets in chordal graphs.2008

    • Author(s)
      Yoshio Okamoto, Takeaki Uno, Ryuhei Uehara
    • Journal Title

      Journal of Discrete Algorithms 6

      Pages: 229-242

    • Peer Reviewed
  • [Journal Article] Fair cost allocations under conflicts - a game-theoretic point of view.2008

    • Author(s)
      Yoshio Okamoto
    • Journal Title

      Discrete Optimization 5

      Pages: 1-18

    • Peer Reviewed
  • [Journal Article] Relationships between the class of unit grid intersection graphs and other classes of bipartite graphs.2007

    • Author(s)
      Yota Otachi, Yoshio Okamoto, Koichi Yamazaki
    • Journal Title

      Discrete Applied Mathematics 155

      Pages: 2383-2390

    • Peer Reviewed
  • [Journal Article] Matroid representation of clique complexes2007

    • Author(s)
      Kenji Kashiwabara, Yoshio Okamoto, Takeaki Uno
    • Journal Title

      Discrete Applied Mathematics 155

      Pages: 1910-1929

    • Peer Reviewed
  • [Journal Article] The even outdegree conjecture for acyclic PLCP-cubes in dimension five.2006

    • Author(s)
      Sonoko Moriyama, Yoshio Okamoto
    • Journal Title

      IEICE Transactions on Information and Systems E89-D

      Pages: 2402-2404

    • Peer Reviewed
  • [Journal Article] Core stability of minimum coloring games.2006

    • Author(s)
      Thomas Bietenhader, Yoshio Okamoto
    • Journal Title

      Mathematics of Operations Research 31

      Pages: 418-431

    • Peer Reviewed
  • [Journal Article] The minimum weight triangulation problem with few inner points.2006

    • Author(s)
      Michael Hoffmann, Yoshio Okamoto
    • Journal Title

      Computational Geometry: Theory and Applications 34

      Pages: 149-158

    • Peer Reviewed
  • [Presentation] Querying two boundary points for shortest paths in a polygonal domain.2009

    • Author(s)
      ang Won Bae, Yoshio Okamoto
    • Organizer
      20th International Symposium on Algorithms and Computation (ISAAC 2009)
    • Place of Presentation
      Ala Moana Hotel, Hawaii, USA
    • Year and Date
      2009-12-18
  • [Presentation] On the geodesic diameter in polygonal domains.2009

    • Author(s)
      Sang Won Bae, Matias Korman, Yoshio Okamoto
    • Organizer
      Japan Conference on Computational Geometry and Graphs (JCCGG 2009)
    • Place of Presentation
      金沢市文化ホール
    • Year and Date
      2009-11-11
  • [Presentation] A tight lower bound for convexly independent subsets of the Minkowski sums of planar point sets.2009

    • Author(s)
      Kevin Buchin, Radoslav Fulek, Masashi Kiyomi, Yoshio Okamoto, Shin-ichi Tanigawa, Csaba D. Toth
    • Organizer
      Japan Conference on Computational Geometry and Graphs (JCCGG 2009)
    • Place of Presentation
      金沢市文化ホール
    • Year and Date
      2009-11-11
  • [Presentation] A provably efficient algorithm for the multicriteria linear programming.2009

    • Author(s)
      Yoshio Okamoto, Takeaki Uno
    • Organizer
      20th International Symposium on Mathematical Programming (ISMP 2009)
    • Place of Presentation
      University of Chicago, IL, USA
    • Year and Date
      2009-08-26
  • [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
  • [Presentation] Discrete geometry of multi-criteria optimization problems.2009

    • Author(s)
      Yoshio Okamoto
    • Organizer
      Canada-Japan Workshop on Discrete and Computational Geometry
    • Place of Presentation
      東京大学
    • Year and Date
      2009-07-14
  • [Presentation] Counting the number of matchings in chordal and chordal bipartite graph classes.2009

    • Author(s)
      Yoshio Okamoto, Ryuhei Uehara, Takeaki Uno
    • Organizer
      35th International Workshop on Graph-Theoretic Concepts in Computer Science (WG 2009)
    • Place of Presentation
      Centre Rabelais, Montpellier, France
    • Year and Date
      2009-06-26
  • [Presentation] Adaptive algorithms for the planar convex hull problems.2009

    • Author(s)
      Hee-Kap Ahn, Yoshio Okamoto
    • Organizer
      2nd AAAC Annual Meeting
    • Place of Presentation
      Hangzhou Huajia SHAN Resort, Hangzhou, People Republic of China
    • Year and Date
      2009-04-11
  • [Presentation] Natural wireless localization is NP-hard.2009

    • Author(s)
      Tobias Christ, Michael Hoffmann, Yoshio Okamoto
    • Organizer
      25th European Workshop on Computational Geometry (EuroCG 2009)
    • Place of Presentation
      Universite Libre de Bruxelles, Brussels, Belgium
    • Year and Date
      2009-03-17
  • [Presentation] On listing, sampling, and counting the chordal graphs with edge constraints.2008

    • Author(s)
      Shuji Kijima, Masashi Kiyomi, Yoshio Okamoto, Takeaki Uno
    • Organizer
      14th Annual International Computing and Combinatorics Conference (COCOON 2008)
    • Place of Presentation
      Mercure Teda Dalian Hotel, Dalian, People Republic of China
    • Year and Date
      20080627-20080629
  • [Presentation] Adaptive computational geometry.2008

    • Author(s)
      Hee-Kap Ahn, Yoshio Okamoto
    • Organizer
      RIMS Workshop on Computational Geometry and Discrete Mathematics
    • Place of Presentation
      京都大学
    • Year and Date
      2008-10-18
  • [Presentation] Drawing binary tanglegrams.2008

    • Author(s)
      Yoshio Okamoto
    • Organizer
      RIMS Workshop on Acceleration and Visualization of Computation for Enumeration Problems
    • Place of Presentation
      京都大学
    • Year and Date
      2008-09-30
  • [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
  • [Presentation] On algorithmic enumeration of higher-order Delaunay triangulations.2008

    • Author(s)
      Yusuke Abe, Yoshio Okamoto
    • Organizer
      11th Japan-Korea Joint Workshop on Algorithms and Computation
    • Place of Presentation
      九州大学
    • Year and Date
      2008-07-20
  • [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
  • [Presentation] Submodularity of minimum- cost spanning tree games.2008

    • Author(s)
      Masayuki Kobayashi, Yoshio Okamoto
    • Organizer
      1st AAAC Annual Meeting
    • Place of Presentation
      University of Hong Kong
    • Year and Date
      2008-04-26
  • [Presentation] A polynomial-time-delay polynomial- space algorithm for enumeration problems in multi-criteria optimization.2007

    • Author(s)
      Yoshio Okamoto, Takeaki Uno
    • Organizer
      18th International Symposium on Algorithms and Computation (ISAAC 2007)
    • Place of Presentation
      仙台エクセルホテル東急
    • Year and Date
      2007-12-19
  • [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
  • [Presentation] Hardness of separating a bicolored point set by spheres.2007

    • Author(s)
      Yoshio Okamoto
    • Organizer
      6th Slovenian International Conference on Graph Theory
    • Place of Presentation
      Best Western Kompas Hotel Bled, Slovenia
    • Year and Date
      2007-06-25
  • [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
  • [Presentation] A provably efficient algorithm for the multi-criteria linear programming.2007

    • Author(s)
      Yoshio Okamoto, Takeaki Uno
    • Organizer
      5th Hungarian-Japanese Symposium on Discrete Mathematics and Its Applications
    • Place of Presentation
      東北大学
    • Year and Date
      2007-04-03
  • [Presentation] Fast exponential-time algorithms for the forest counting in graph classes.2007

    • Author(s)
      Heidi Gebauer, Yoshio Okamoto
    • Organizer
      13th Computing: The Australasian Theory Symposium (CATS 2007)
    • Place of Presentation
      University of Ballarat, Ballarat, Australia
    • Year and Date
      2007-02-01
  • [Presentation] Fast exponential-time algorithms for the forest counting in graph classes2006

    • Author(s)
      Heidi Gebauer, Yoshio Okamoto
    • Organizer
      ICALP'06 Affiliated Workshop "Improving Exponential Time Algorithms. "
    • Place of Presentation
      S. Servolo, Venice, Italy
    • Year and Date
      2006-07-16
  • [Presentation] Algorithms for the full Steiner tree problem.2006

    • Author(s)
      Takehiro Ito, Yoshio Okamoto, Takeshi Tokuyama
    • Organizer
      ICALP'06 Affiliated Workshop "Improving Exponential Time Algorithms. "
    • Place of Presentation
      S. Servolo, Venice, Italy
    • Year and Date
      2006-07-16

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Published: 2011-06-18   Modified: 2016-04-21  

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