Note on Ramsey theorems for spatial graphs

  • Authors:
  • Seiya Negami

  • Affiliations:
  • Yokohama National University, Yokohama, Japan

  • Venue:
  • Theoretical Computer Science
  • Year:
  • 2001

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Abstract

To show that Ramsey theorem for spatial graphs without local knots does not hold in general, we construct a spatial embedding of Kn;n which has no local knots on edges and which contains any subdivision of a given nonsplittable 2-component link.