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2011 Fiscal Year Final Research Report

Polyhedral computation, discrete optimization and quantum information

Research Project

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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
Keywords計算幾何学 / 離散幾何学 / アルゴリズム理論 / 量子情報
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.

  • Research Products

    (10 results)

All 2012 2011 2010 Other

All Journal Article (2 results) Presentation (7 results) Remarks (1 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

  • [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

  • [Presentation] Verifying Nash Equilibria in Page Rank Games on Undirected Web Graphs2011

    • Author(s)
      D. Avis, K. Iwama, D. Paku
    • Organizer
      ISAAC 2011
    • Year and Date
      20111200
  • [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
  • [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
  • [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
  • [Presentation] Recollections on the Discovery of the Reverse Search Technique2010

    • Author(s)
      D. Avis
    • Organizer
      LA Symposium
    • Year and Date
      20100614-16
  • [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
    • Year and Date
      20100614-16
  • [Presentation] "Those Ubiquitous Cut Polyhedra", Paul Erdos Memorial Lecture2010

    • Author(s)
      D. Avis
    • Organizer
      21st CCCG, Winnipeg
    • Year and Date
      2010-08-21
  • [Remarks]

    • URL

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

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Published: 2013-07-31  

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