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A combinatorial research for finite algebraic systems

Research Project

Project/Area Number 62540046
Research Category

Grant-in-Aid for General Scientific Research (C)

Allocation TypeSingle-year Grants
Research Field 代数学・幾何学
Research InstitutionKobe University

Principal Investigator

TAMURA Saburo  Kobe Univ., Faculty of Education, Prof., 教育学部, 教授 (50035151)

Co-Investigator(Kenkyū-buntansha) TAKAHASHI Jyoji  Kobe Univ., Faculty of Education, Ass. Prof., 教育学部, 助教授 (30197149)
SHIRAKURA Teruhiro  Kobe Univ., Faculty of Education, Ass. Prof., 教育学部, 助教授 (30033913)
FUNAKOSHI Shunsuke  Kobe Univ., Faculty of Education, Prof., 教育学部, 教授 (40031356)
OKUYAMA Akihiro  Kobe Univ., Faculty of Education, Prof., 教育学部, 教授 (40030275)
Project Period (FY) 1987 – 1989
Project Status Completed (Fiscal Year 1989)
Budget Amount *help
¥2,100,000 (Direct Cost: ¥2,100,000)
Fiscal Year 1989: ¥700,000 (Direct Cost: ¥700,000)
Fiscal Year 1988: ¥700,000 (Direct Cost: ¥700,000)
Fiscal Year 1987: ¥700,000 (Direct Cost: ¥700,000)
KeywordsEnumeration / Finite algebraic system / Relational system / Graph / Digraph / Odd degree / 有限代数系 / 様相論理体系 / グラフ / 有向グラフ / 奇点 / 数え上げ / 組合せ論
Research Abstract

We published "Introduction to combinatorial algebraic system" (1984) and "Introduction to graph theory(1988)". In these books we considered the enumeration of some relational systems, algebraic systems and graphs.
In this research we continue these studies and have several new results. One of our results will be appeared in the report "Enumeration of digraph with given number of vertices of odd out-degree and vertices of odd in-degree." (accepted by Discrete Mathematics)

Report

(3 results)
  • 1989 Annual Research Report   Final Research Report Summary
  • 1988 Annual Research Report
  • Research Products

    (14 results)

All Other

All Publications (14 results)

  • [Publications] 田村三郎他: "組合せ論的代数系入門(関係とグラフ)" BASIC数学. 17-4. 41-47 (1984)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1989 Final Research Report Summary
  • [Publications] 田村三郎他: "組合せ論的代数系入門(置換群と数え上げ)" BASIC数学. 18-1. 48-57 (1985)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1989 Final Research Report Summary
  • [Publications] S.Tamura: "The number of ways to introduce modalitie into finite Boolean algebras" Proc.symposium on Math.Logic. (1984)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1989 Final Research Report Summary
  • [Publications] S.Tamura他: "Enumeration of digraph with given number of vertices of odd out-degree and vertices of odd in-degree" Discrete Mathematics.

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1989 Final Research Report Summary
  • [Publications] 田村三郎他: "やさしいグラフ論" 現代数学社, 222 (1988)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1989 Final Research Report Summary
  • [Publications] S. Tamura: "The number of ways to introduce modalities into finite Boolean algebras" Proc. Symp. on Mathematical Logic. (1984)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1989 Final Research Report Summary
  • [Publications] S. Tamura: "A Gentzen formuralion without the cut rule for ortholattices" Kobe Jour. Math.Vol. 5. (1988)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1989 Final Research Report Summary
  • [Publications] S. Tazawa, T. Shirakura & S. Tamura: "Enumeration of digraphs with given number of vertices of odd out-degree and vertices of odd in-degree" Discrete Mathematics.

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1989 Final Research Report Summary
  • [Publications] S.Tamura: "The number of ways to introduce modalities into finite Boolean algebras" Proc.symposium of Math.Logic. (1984)

    • Related Report
      1989 Annual Research Report
  • [Publications] S.Tamura: "A Gentzen formulation without the cut rule for ortholattices" Kobe Journal of Mathematics. Vol.5. (1988)

    • Related Report
      1989 Annual Research Report
  • [Publications] S.Tamura etc.: "Enumeration of digraph with given number of vertices of odd outーdegree and vertices of odd inーdegree" Discrete Mathematics.

    • Related Report
      1989 Annual Research Report
  • [Publications] 田村三郎,田中正彦: BASIC数学. 17ー4. 41-47 (1984)

    • Related Report
      1988 Annual Research Report
  • [Publications] 田村三郎,田中正彦: BASIC数学. 18ー1. 48-57 (1985)

    • Related Report
      1988 Annual Research Report
  • [Publications] S.Tamura: Proc.symposium on Math.Logic. 42-44 (1984)

    • Related Report
      1988 Annual Research Report

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Published: 1987-04-01   Modified: 2016-04-21  

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