Irreducibility of spatial graphs

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

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
Volume11
Issue number1
DOIs
Publication statusPublished - 2002 Aug 26

Keywords

  • Irreducible graph
  • Spatial graph

ASJC Scopus subject areas

  • Algebra and Number Theory

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