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Research on configurations of point sets and their substructures

Research Project

Project/Area Number 24740076
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeMulti-year Fund
Research Field General mathematics (including Probability theory/Statistical mathematics)
Research InstitutionShiga University (2013-2014)
Suzuka National College of Technology (2012)

Principal Investigator

SHINOHARA Masashi  滋賀大学, 教育学部, 講師 (70432903)

Project Period (FY) 2012-04-01 – 2015-03-31
Project Status Completed (Fiscal Year 2014)
Budget Amount *help
¥2,600,000 (Direct Cost: ¥2,000,000、Indirect Cost: ¥600,000)
Fiscal Year 2014: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2013: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2012: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Keywords距離集合 / 離散幾何 / 部分構造 / 点の配置 / Ramsey number
Outline of Final Research Achievements

To characterize good configurations of a given space is well studied in cording theory, design theory and other subjects. Our main purpose is to find good configurations of a space and give relationships between these theories.
In this research, we studied a configuration which have small number of distinct distances. We got some results about relationships between configurations and their substructures by relationships between configurations and their discrete structures.

Report

(4 results)
  • 2014 Annual Research Report   Final Research Report ( PDF )
  • 2013 Research-status Report
  • 2012 Research-status Report
  • Research Products

    (18 results)

All 2015 2014 2013 2012 Other

All Journal Article (2 results) (of which Peer Reviewed: 1 results) Presentation (16 results) (of which Invited: 1 results)

  • [Journal Article] 距離集合における点の配置問題とグラフ2013

    • Author(s)
      篠原雅史, 野崎寛
    • Journal Title

      RIMS考究録

      Volume: 未定

    • Related Report
      2012 Research-status Report
  • [Journal Article] A geometrical characterization of strongly regular graphs2012

    • Author(s)
      H. Nozaki-M.Shinohara
    • Journal Title

      Linear Algebra and its Applications

      Volume: 437 Pages: 2587-2600

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Presentation] 平面上の距離集合と正多角形2015

    • Author(s)
      篠原雅史
    • Organizer
      数理情報科学さくらセミナー
    • Place of Presentation
      鹿児島大学
    • Year and Date
      2015-03-18
    • Related Report
      2014 Annual Research Report
  • [Presentation] Diameter bounds for the intersection of spherical shells2015

    • Author(s)
      篠原雅史
    • Organizer
      研究会「直観幾何学」
    • Place of Presentation
      熊本大学
    • Year and Date
      2015-03-10
    • Related Report
      2014 Annual Research Report
  • [Presentation] 平面上の距離集合と正多角形2015

    • Author(s)
      篠原雅史
    • Organizer
      熊本組合せ論研究集会
    • Place of Presentation
      熊本大学
    • Year and Date
      2015-01-10
    • Related Report
      2014 Annual Research Report
  • [Presentation] Interval methods for a classification of three-distance set2014

    • Author(s)
      Masashi Shinohara
    • Organizer
      Eighth Shanghai conference on combinatorics
    • Place of Presentation
      中国
    • Year and Date
      2014-05-23
    • Related Report
      2014 Annual Research Report
  • [Presentation] A new generalization of Ramsey number R(s,t)2014

    • Author(s)
      Masashi Shinohara, Akihiro Munemasa
    • Organizer
      Sixth discrete geometry and algebraic combinatorics conference
    • Place of Presentation
      アメリカ
    • Year and Date
      2014-04-11
    • Related Report
      2014 Annual Research Report
  • [Presentation] Complementary Ramsey number について

    • Author(s)
      篠原雅史
    • Organizer
      東北大学組合せ論セミナー
    • Place of Presentation
      東北大学
    • Related Report
      2013 Research-status Report
  • [Presentation] Complementary Ramsey number について

    • Author(s)
      篠原雅史・宗政昭弘
    • Organizer
      離散数学とその応用研究集会2013
    • Place of Presentation
      山形
    • Related Report
      2013 Research-status Report
  • [Presentation] Small complementary Ramsey numbers

    • Author(s)
      篠原雅史・宗政昭弘
    • Organizer
      応用数学合同研究集会
    • Place of Presentation
      龍谷大学
    • Related Report
      2013 Research-status Report
  • [Presentation] On complementary Ramsey numbers

    • Author(s)
      篠原雅史
    • Organizer
      Hakata Workshop 2014~ Discrete Mathematics and its Applications~
    • Place of Presentation
      福岡
    • Related Report
      2013 Research-status Report
  • [Presentation] 2-距離集合の連続変形と Petersen graph の空間への埋め込みについて

    • Author(s)
      篠原雅史
    • Organizer
      研究会 直観幾何学
    • Place of Presentation
      熊本大学
    • Related Report
      2013 Research-status Report
  • [Presentation] ラムゼー数の新しい一般化について

    • Author(s)
      篠原雅史
    • Organizer
      数理情報科学さくらセミナー
    • Place of Presentation
      鹿児島大学
    • Related Report
      2013 Research-status Report
  • [Presentation] 完全多部グラフに対応する 2-距離集合について

    • Author(s)
      篠原雅史
    • Organizer
      1日離散幾何研究集会
    • Place of Presentation
      東京理科大学
    • Related Report
      2012 Research-status Report
  • [Presentation] 距離集合における点の配置問題とグラフ

    • Author(s)
      篠原雅史
    • Organizer
      RIMS共同研究「デザイン、符号、グラフおよびその周辺」
    • Place of Presentation
      京都大学
    • Related Report
      2012 Research-status Report
  • [Presentation] On spherical and non-spherical two-distance set

    • Author(s)
      Masashi Shinohara
    • Organizer
      Shanghai conference on algebraic combinatorics
    • Place of Presentation
      上海交通大学
    • Related Report
      2012 Research-status Report
  • [Presentation] 2-distance set の変形とその極小次元

    • Author(s)
      篠原雅史
    • Organizer
      九州大学組合せ論セミナー
    • Place of Presentation
      九州大学
    • Related Report
      2012 Research-status Report
  • [Presentation] 距離集合の分類と構成

    • Author(s)
      篠原雅史
    • Organizer
      第9回組合せ論若手集会
    • Place of Presentation
      慶應義塾大学
    • Related Report
      2012 Research-status Report
    • Invited

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Published: 2013-05-31   Modified: 2019-07-29  

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