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Polyhedral computation, discrete optimization and quantum information

Research Project

Project/Area Number 22800031
Research Category

Grant-in-Aid for Research Activity Start-up

Allocation TypeSingle-year Grants
Research Field Fundamental theory of informatics
Research InstitutionKyoto University

Principal Investigator

AVIS David  京都大学, 情報学研究科, 教授 (90584110)

Project Period (FY) 2010 – 2011
Project Status Completed (Fiscal Year 2011)
Budget Amount *help
¥3,146,000 (Direct Cost: ¥2,420,000、Indirect Cost: ¥726,000)
Fiscal Year 2011: ¥1,508,000 (Direct Cost: ¥1,160,000、Indirect Cost: ¥348,000)
Fiscal Year 2010: ¥1,638,000 (Direct Cost: ¥1,260,000、Indirect Cost: ¥378,000)
Keywords計算幾何学 / 離散幾何学 / アルゴリズム理論 / 量子情報 / 多面体 / 離散最適化 / アルゴリズム
Research Abstract

The purpose of this grant was to provide funds for the new Geometric Computation Laboratory at Kyoto University which I have now established. This laboratory is concerned primarily with the following three research topics : polyhedral computation, discrete optimization and quantum information. The common theme linking these three topics is high dimensional geometry, and in particular, the study of polyhedra and related convex bodies. In addition to high quality theoretical results, the Geometric Computation Laboratory has been developing software that allows the results to be used widely in the engineering and scientific community.

Report

(3 results)
  • 2011 Annual Research Report   Final Research Report ( PDF )
  • 2010 Annual Research Report
  • Research Products

    (19 results)

All 2012 2011 2010 Other

All Journal Article (3 results) (of which Peer Reviewed: 1 results) Presentation (13 results) Remarks (3 results)

  • [Journal Article] On the Existence of Hamiltonian Paths for History Based Pivot Rules on Acyclic Unique Sink Orientations of Hypercubes2012

    • Author(s)
      Y. Aoshima, D. Avis, T. Deering, Y. Matsumoto and S. Moriyama
    • Journal Title

      Discrete Applied Mathematics, accepted for publication

    • Related Report
      2011 Final Research Report
  • [Journal Article] Leggett-Garg Inequalities and the Geometry of the Cut Polytope2010

    • Author(s)
      D. Avis P. Hayden and M. Wilde
    • Journal Title

      Physical Review A

    • Related Report
      2011 Final Research Report
  • [Journal Article] Leggett-Garg inequalities and the geometry of the cut polytope2010

    • Author(s)
      David Avis, P.Hayden, M.Wilde
    • Journal Title

      Phys, Rev.A

      Volume: 82巻 Pages: 1-4

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Presentation] Verifying Nash Equilibria in PageRank Games on Undirected Web Graphs2011

    • Author(s)
      David Avis
    • Organizer
      ISAAC 2011
    • Place of Presentation
      ワークピア横浜(神奈川県)
    • Year and Date
      2011-12-07
    • Related Report
      2011 Annual Research Report
  • [Presentation] The Directed Cut Cone and Polytope with Mining Applications2011

    • Author(s)
      D. Avis
    • Organizer
      Conference on Discrete Geometry and Optimization, invited lecture
    • Place of Presentation
      Fields Institute, University of Toronto
    • Year and Date
      2011-09-20
    • Related Report
      2011 Final Research Report
  • [Presentation] The directed cut cone and polytope with mining applications2011

    • Author(s)
      David Avis
    • Organizer
      Field's Institute
    • Place of Presentation
      トロント(カナダ)(招待講演)
    • Year and Date
      2011-09-20
    • Related Report
      2011 Annual Research Report
  • [Presentation] History Based Pivot Rules for Acyclic USOs on Hypercubes2011

    • Author(s)
      D. Avis
    • Organizer
      Efficiency of the Simplex Method : Quo Vadis the Hirsch Conjecture, invited lecture
    • Place of Presentation
      IPAM, UCLA
    • Year and Date
      2011-07-19
    • Related Report
      2011 Final Research Report
  • [Presentation] Enumerating Hamiltonian Paths on Acyclic USO Cube with History Based Pivot Rules2011

    • Author(s)
      Y. Aoshima, D. Avis, T. Deering, Y. Matsumoto and S. Moriyama
    • Organizer
      AAAC2011
    • Place of Presentation
      National Tsing Hua University, Taiwan
    • Year and Date
      2011-04-16
    • Related Report
      2011 Final Research Report
  • [Presentation] History based pivot rules for acyclic USOs on hypercubes2011

    • Author(s)
      David Avis
    • Organizer
      Workshop on the Efficiency of the Simplex Method : Quo vadis Hirsch conjecture?
    • Place of Presentation
      IPAM Building, UCLA Los Angeles, USA
    • Year and Date
      2011-01-19
    • Related Report
      2010 Annual Research Report
  • [Presentation] Verifying Nash Equilibria in Page Rank Games on Undirected Web Graphs2011

    • Author(s)
      D. Avis, K. Iwama, D. Paku
    • Organizer
      ISAAC 2011
    • Related Report
      2011 Final Research Report
  • [Presentation] History based pivot rules for acyclic USOs2010

    • Author(s)
      David Avis
    • Organizer
      Conference on Discrete and Computational Geometry
    • Place of Presentation
      Lausanne, Switzerland(招待講演)
    • Year and Date
      2010-08-30
    • Related Report
      2010 Annual Research Report
  • [Presentation] "Those Ubiquitous Cut Polyhedra", Paul Erdos Memorial Lecture2010

    • Author(s)
      D. Avis
    • Organizer
      21st CCCG, Winnipeg
    • Year and Date
      2010-08-21
    • Related Report
      2011 Final Research Report
  • [Presentation] The locker problem with empty lockers2010

    • Author(s)
      David Avis, Luc Devroye, Kazuo Iwama
    • Organizer
      Asian Association for Algorithms and Computation (AAAC)
    • Place of Presentation
      POSTECH(Pohang, Korea)
    • Year and Date
      2010-08-19
    • Related Report
      2010 Annual Research Report
  • [Presentation] Those Ubiquitous Cut Polyhedra2010

    • Author(s)
      David Avis
    • Organizer
      Canadian Conference on Computational Geometry (CCCG)
    • Place of Presentation
      Manitoba大学(Winnipeg, Manitoba, Canada)(招待講演)
    • Year and Date
      2010-08-09
    • Related Report
      2010 Annual Research Report
  • [Presentation] Recollections on the Discovery of the Reverse Search Technique2010

    • Author(s)
      D. Avis
    • Organizer
      LA Symposium
    • Related Report
      2011 Final Research Report
  • [Presentation] Structural Properties of the Directed Cut Polytope2010

    • Author(s)
      D. Avis and C. Meagher
    • Organizer
      Canadian Math Society Summer Meeting
    • Place of Presentation
      Fredericton
    • Related Report
      2011 Final Research Report
  • [Remarks]

    • URL

      http://www.i.kyoto-u.ac.jp/~avis

    • Related Report
      2011 Final Research Report
  • [Remarks]

    • URL

      http://www.lab2.kuis.kyoto-u.ac.jp/~avis/

    • Related Report
      2011 Annual Research Report
  • [Remarks]

    • URL

      http://www.lab2.kuis.kyoto-u.ac.jp/~avis/

    • Related Report
      2010 Annual Research Report

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Published: 2010-08-27   Modified: 2016-04-21  

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