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2010 Fiscal Year Final Research Report

Toward "good characterizations" of idealness of clutters

Research Project

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Project/Area Number 19540110
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field General mathematics (including Probability theory/Statistical mathematics)
Research InstitutionYamagata University

Principal Investigator

SAKUMA Tadashi  Yamagata University, 地域教育文化学部, 准教授 (60323458)

Project Period (FY) 2007 – 2010
Keywordsclutter / ideality / excluded minor / MFMC-property / odd-hole recognition / path-parity / claw-free graph / pebble motion planning
Research Abstract

In this study, we succeeded to characterize the ideality and the packing property for several classes of clutters which are corresponding to (a generalized classes of) the odd-holes of graphs by using the excluded clutter minors.

  • Research Products

    (10 results)

All 2011 2010 2009 2008 Other

All Journal Article (9 results) (of which Peer Reviewed: 7 results) Presentation (1 results)

  • [Journal Article] N-flips in even triangulations on the torus and Dehn twists preserving monodromies2011

    • Author(s)
      Yusuke Higuchi, Atsushi Nakamoto, Kazuhiro Ota, Tadashi Sakuma
    • Journal Title

      Discrete Mathematics 311(13)

      Pages: 1128-1135

    • Peer Reviewed
  • [Journal Article] The Positive circuits of oriented matroids with the packing property or idealness2010

    • Author(s)
      Kashiwaba Kenji, Sakuma Tadashi
    • Journal Title

      Electronic Notes in Discrete Mathematics 36

      Pages: 287-294

    • Peer Reviewed
  • [Journal Article] On circular thin Lehman matrices2010

    • Author(s)
      Sakuma Tadashi, Shinohara Hidehiro
    • Journal Title

      応用数学合同研究集会報告集

      Pages: 123-126

  • [Journal Article] Disjoint Even Cycles Packing2009

    • Author(s)
      Shuya Chiba, Shinya Fujita, Ken-ichi Kawarabayashi, Tadashi Sakuma
    • Journal Title

      Electronic Notes in Discrete Mathematics 34

      Pages: 113-119

    • Peer Reviewed
  • [Journal Article] Colored Pebble Motion on Graphs (Extended Abstract)2009

    • Author(s)
      Shinya Fujita, Tomoki Nakamigawa, Tadashi Sakuma
    • Journal Title

      Electronic Notes in Discrete Mathematics 34

      Pages: 113-119

    • Peer Reviewed
  • [Journal Article] Pebble Exchange on Graphs (Extended Abstract)2009

    • Author(s)
      Shinya Fujita, Tomoki Nakamigawa, Tadashi Sakuma
    • Journal Title

      第26回代数的組合せ論シンポジウム報告集

      Pages: 126-132

  • [Journal Article] Determining the minimum rank of matroids whose basis graph is common2008

    • Author(s)
      Masahiro HACHIMORI, Hiroshi KURATA, Tadashi SAKUMA
    • Journal Title

      Electronic Notes in Discrete Mathematics 31

      Pages: 137-142

    • Peer Reviewed
  • [Journal Article] On circulant thin Lehman matrices, Electronic Notes in Discrete Mathematics

    • Author(s)
      Sakuma Tadashi, Shinohara Hidehiro
    • Journal Title

      Accepted

    • Peer Reviewed
  • [Journal Article] olored Pebble Motion on Graphs, European Journal of Combinatorics

    • Author(s)
      Shinya Fujita, Tomoki Nakamigawa, Tadashi Sakuma
    • Journal Title

      accepted

    • Peer Reviewed
  • [Presentation] The positive circuits of oriented matroids with the packing property or idealness2010

    • Author(s)
      Tadashi Sakuma
    • Organizer
      ISCO Hammamet : International Symposium on Combinatorial Optimization
    • Place of Presentation
      Yasmine Hammamet at El Medina Mediterranea.
    • Year and Date
      20100324-20100326

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Published: 2012-01-26   Modified: 2016-04-21  

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