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Any knot is inevitable in a regular projection of a planar graph

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Publication:1272473
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DOI10.1006/jctb.1997.1805zbMath0914.05020OpenAlexW1966573961MaRDI QIDQ1272473

Tatsuya Tsukamoto

Publication date: 1998

Published in: Journal of Combinatorial Theory. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jctb.1997.1805


zbMATH Keywords

knotplanar graphspatial graphRamsey-type theoremregular projectionknotted graph


Mathematics Subject Classification ID

Planar graphs; geometric and topological aspects of graph theory (05C10)




Cites Work

  • Topological Ramsey theorem for complete bipartite graphs
  • Ramsey-type theorems for spatial graphs and good drawings
  • Sachs' linkless embedding conjecture
  • Knots and links in spatial graphs
  • KNOT-INEVITABLE PROJECTIONS OF PLANAR GRAPHS
  • Invariants of Graphs in Three-Space
  • Linkless embeddings of graphs in 3-space
  • Knotted Projections of Planar Graphs
  • Ramsey Theorems for Knots, Links and Spatial Graphs
  • Knots


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