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Alternating graphs

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Publication:1569051
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DOI10.1006/jctb.1999.1915zbMath1028.05028OpenAlexW2912254572MaRDI QIDQ1569051

Sam Payne, Jonathan Kravis, Ryan Dorman, Kerryann M. Foley, Colin C. Adams

Publication date: 25 June 2000

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

Full work available at URL: https://semanticscholar.org/paper/8e685359c58b8f077352a4fcff8f28f87d839bd8


zbMATH Keywords

crossing numberincompressible surfacealternating knotsspatial graphalternating projectionspatial embedding


Mathematics Subject Classification ID

Planar graphs; geometric and topological aspects of graph theory (05C10) Relations of low-dimensional topology with graph theory (57M15)


Related Items (2)

A classification of spanning surfaces for alternating links ⋮ THE GEOMETRY OF THE DEHN COMPLEX FOR A SPATIAL GRAPH



Cites Work

  • Unnamed Item
  • Closed incompressible surfaces in alternating knot and link complements
  • A spanning tree expansion of the Jones polynomial
  • Jones polynomials and classical conjectures in knot theory
  • Almost alternating links
  • Toroidally alternating knots and links
  • New Invariants in the Theory of Knots
  • Invariants of Graphs in Three-Space


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