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A study of spatial graphs from topological viewpoint

Research Project

Project/Area Number 15540097
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Geometry
Research InstitutionWaseda University

Principal Investigator

TANIYAMA kouki  Waseda University, Faculty of Education and Integrated Arts and Sciences, Professor, 教育・総合科学学術院, 教授 (10247207)

Project Period (FY) 2003 – 2005
Project Status Completed (Fiscal Year 2005)
Budget Amount *help
¥3,400,000 (Direct Cost: ¥3,400,000)
Fiscal Year 2005: ¥1,100,000 (Direct Cost: ¥1,100,000)
Fiscal Year 2004: ¥1,100,000 (Direct Cost: ¥1,100,000)
Fiscal Year 2003: ¥1,200,000 (Direct Cost: ¥1,200,000)
KeywordsKnot / spatial graph
Research Abstract

We have studied 2-irreducibility of spatial graphs and showed that it is preserved under certain geometric operation, we have studied regular projections of knots, links and spatial graphs and showed certain results on knotted projections and identifiable projections.

Report

(4 results)
  • 2005 Annual Research Report   Final Research Report Summary
  • 2004 Annual Research Report
  • 2003 Annual Research Report
  • Research Products

    (18 results)

All 2006 2005 2004 2003 Other

All Journal Article (15 results) Publications (3 results)

  • [Journal Article] 2^irreducibility of spatial graphs2006

    • Author(s)
      F.Lei, K.Taniyama, G.Zhang
    • Journal Title

      J.KnotTheory Ramifications 15

      Pages: 31-41

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] 2-irreducibility of spatial graphs2006

    • Author(s)
      F.Lei, K.Taniyama, G.Zhang
    • Journal Title

      J.Knot Teory Ramitications 15

      Pages: 31-41

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] 2-irreducibility of spatial graphs2006

    • Author(s)
      Fengchun Lei, Kouki Taniyama, Gengyu Zhang
    • Journal Title

      Journal of Knot Theory and its Ramifications Vol.15, No.1

      Pages: 31-41

    • Related Report
      2005 Annual Research Report
  • [Journal Article] Newly found for biddun graphs for tvivializability2005

    • Author(s)
      R.Nikkunl, M.Ozawa, Y.Tsutsumi, K.Taniyama
    • Journal Title

      J.KnotTheory Ramifications 14

      Pages: 523-538

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Newly found forbidden graphs for trivializability2005

    • Author(s)
      R.Nikuni, M.Ozawa, K.Taniyama
    • Journal Title

      J.Knot Teory Ramitications 14

      Pages: 523-538

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Newly found forbidden graphs for trivializability2005

    • Author(s)
      Ryo Nikkuni, Makoto Ozawa, Yukihiro Tsutsumi, Kouki Taniyama
    • Journal Title

      Journal of Knot Theory and its Ramifications Vol.14, No.4

      Pages: 523-538

    • Related Report
      2005 Annual Research Report
  • [Journal Article] Identifiable projections of spatial graphs2004

    • Author(s)
      Y.Huh, K.Taniyama
    • Journal Title

      J.KnotTheory Ramifications 13

      Pages: 991-998

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Identifiable projections of spatial graphs2004

    • Author(s)
      Y.Huh, K.Taniyama
    • Journal Title

      J.Knot Teory Ramitications 13

      Pages: 991-998

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Identifiable projections of spatial graphs2004

    • Author(s)
      Y.Huh, K.Taniyama
    • Journal Title

      Journal of Knot Theory and its Ramifications 12

      Pages: 991-998

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Local moves on spatial graphs and finite type invariants2003

    • Author(s)
      K.Taniyama, A.Yasuhara
    • Journal Title

      Pacific J. Math. 211

      Pages: 183-200

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Homology calssification of spatlnlgunphs by libuiu numbers and Siman lunulaats2003

    • Author(s)
      R.Shinjo, K.Taniyama
    • Journal Title

      Topology Appl. 134

      Pages: 53-67

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Alarge complete graph contains a link with large link inuariant2003

    • Author(s)
      M.shirai, k.Taniyama
    • Journal Title

      J.KnotTheory Ramifications 12

      Pages: 915-919

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Local moves on spatial graphs and finite type invariants2003

    • Author(s)
      K.Taniyama, A.Ymsuhara
    • Journal Title

      Pacific J.Math. 211

      Pages: 183-200

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Homology classification of spatial graphs by linking numbers and Simon invariants2003

    • Author(s)
      R.Shinjo, K.Taniyama
    • Journal Title

      Topology Appl. 134

      Pages: 53-67

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] A large complete graph contains a link with large link invariant2003

    • Author(s)
      M.shirai, K.Taniyama
    • Journal Title

      J.Knot Teory Ramifications 12

      Pages: 915-919

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Publications] K.Taniyama, A.Yasuhara: "Local moves on spatial graphs and finite type invariants"Pacific Journal of Mathematics. 211. 183-200 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] R.Shinjo, K.Taniyama: "Homology classification of spatial graphs by linking numbers and Simon invariants"Topology and its Applications. 134. 53-67 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] M.Shirai, K.Taniyama: "A large complete graph in a space contains a link with large link invariant"Journal of Knot Theory and Its Ramifications. 12. 915-919 (2003)

    • Related Report
      2003 Annual Research Report

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Published: 2003-04-01   Modified: 2016-04-21  

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