Knotted projections of planar graphs

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Abstract

In this paper we describe a regular projection of a planar graph that is achieved only by knotted embeddings in 3-space. We also give conditions under which any regular projection of such graphs can be achieved by unknotted embeddings.

Original languageEnglish
Pages (from-to)3575-3579
Number of pages5
JournalProceedings of the American Mathematical Society
Volume123
Issue number11
DOIs
Publication statusPublished - 1995
Externally publishedYes

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Keywords

  • Knot
  • Planar graph
  • Regular projection

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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