An unknotting theorem for delta and sharp edge-homotopy

• Nikkuni, Ryo

Abstract

Two spatial embeddings of a graph are said to be delta (resp. sharp) edge-homotopic if they are transformed into each other by self delta (resp. sharp) moves and ambient isotopies. We show that any two spatial embeddings of a graph are delta (resp. sharp) edge-homotopic if and only if the graph does not contain a subgraph which is homeomorphic to the theta graph or the disjoint union of two 1-spheres, or equivalently G is homeomorphic to a bouquet. © 2007 WILEY-VCH Verlag GmbH & Co. KGaA.

Journal

• Mathematische Nachrichten

  Mathematische Nachrichten 280 (8), 897-906, 2007-01-01

  John Wiley & Sons

Keywords

• Ck-move
• Delta move
• Sharp move
• Spatial graph

Details

• CRID: 1050845760853985152
• NII Article ID: 120000817180
• ISSN: 0025584X
• Web Site: http://hdl.handle.net/2297/6715
• Text Lang: en
• Article Type: journal article
• Data Source:
  • IRDB
  • CiNii Articles
  • KAKEN