Irreducibility of spatial graphs

Kouki Taniyama*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)


A graph embedded in the 3-sphere is called irreducible if it is non-splittable and for any 2-sphere embedded in the 3-sphere that intersects the graph at one point the graph is contained in one of the 3-balls bounded by the 2-sphere. We show that irreducibility is preserved under certain deformations of embedded graphs. We show that certain embedd graphs are irreducible.

Original languageEnglish
Pages (from-to)121-124
Number of pages4
JournalJournal of Knot Theory and its Ramifications
Issue number1
Publication statusPublished - 2002


  • Irreducible graph
  • Spatial graph

ASJC Scopus subject areas

  • Algebra and Number Theory


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