Braid presentation of spatial graphs

Ken Kanno, Kouki Taniyama

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)


We define braid presentation of edge-oriented spatial graphs as a natural generalization of braid presentation of oriented links. We show that every spatial graph has a braid presentation. For an oriented link, it is known that the braid index is equal to the minimal number of Seifert circles. We show that an analogy does nothold for spatial graphs.

Original languageEnglish
Pages (from-to)509-522
Number of pages14
JournalTokyo Journal of Mathematics
Issue number2
Publication statusPublished - 2010


  • Braid presentation
  • Spatial graph

ASJC Scopus subject areas

  • General Mathematics


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