A study of spatial graphs from topological viewpoint

• Project/Area Number: 15540097
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Single-year Grants
• Section: 一般
• Research Field: Geometry
• Research Institution: Waseda 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: ¥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)
• Keywords: Knot / 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.

Research Products

• [Journal Article] 2^irreducibility of spatial graphs (2006)
  • 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
• [Journal Article] 2-irreducibility of spatial graphs (2006)
  • 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
• [Journal Article] 2-irreducibility of spatial graphs (2006)
  • Author(s): Fengchun Lei, Kouki Taniyama, Gengyu Zhang
  • Journal Title: Journal of Knot Theory and its Ramifications Vol.15, No.1 Pages: 31-41
• [Journal Article] Newly found for biddun graphs for tvivializability (2005)
  • 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
• [Journal Article] Newly found forbidden graphs for trivializability (2005)
  • 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
• [Journal Article] Newly found forbidden graphs for trivializability (2005)
  • 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
• [Journal Article] Identifiable projections of spatial graphs (2004)
  • 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
• [Journal Article] Identifiable projections of spatial graphs (2004)
  • 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
• [Journal Article] Identifiable projections of spatial graphs (2004)
  • Author(s): Y.Huh, K.Taniyama
  • Journal Title: Journal of Knot Theory and its Ramifications 12 Pages: 991-998
• [Journal Article] Local moves on spatial graphs and finite type invariants (2003)
  • 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
• [Journal Article] Homology calssification of spatlnlgunphs by libuiu numbers and Siman lunulaats (2003)
  • 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
• [Journal Article] Alarge complete graph contains a link with large link inuariant (2003)
  • 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
• [Journal Article] Local moves on spatial graphs and finite type invariants (2003)
  • 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
• [Journal Article] Homology classification of spatial graphs by linking numbers and Simon invariants (2003)
  • 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
• [Journal Article] A large complete graph contains a link with large link invariant (2003)
  • 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
• [Publications] K.Taniyama, A.Yasuhara: "Local moves on spatial graphs and finite type invariants"Pacific Journal of Mathematics. 211. 183-200 (2003)
• [Publications] R.Shinjo, K.Taniyama: "Homology classification of spatial graphs by linking numbers and Simon invariants"Topology and its Applications. 134. 53-67 (2003)
• [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)