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W\({}_ V\) paths on the torus

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Publication:923374
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DOI10.1007/BF02187811zbMath0711.52005OpenAlexW2010956544MaRDI QIDQ923374

D. W. Barnette

Publication date: 1990

Published in: Discrete \& Computational Geometry (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/131138


zbMATH Keywords

dualitytoruspolyhedral map\(W_ V\)-property3- polytopesplanar revisits


Mathematics Subject Classification ID

Three-dimensional polytopes (52B10) Paths and cycles (05C38) Polyhedral manifolds (52B70)


Related Items (7)

Nonrevisiting paths on surfaces ⋮ Non-revisiting paths on surfaces with low genus ⋮ Connectivity and \(W_v\)-paths in polyhedral maps on surfaces ⋮ A 2-manifold of genus 8 without the \(W_ v\)-property ⋮ Closed 2-cell embeddings in the projective plane ⋮ Tight cycle spectrum gaps of cubic 3-connected toroidal graphs ⋮ On essential and inessential polygons in embedded graphs



Cites Work

  • \(W_ v\) paths in the projective plane
  • Decompositions of homology manifolds and their graphs
  • A 3-Sphere Counterexample to the Wv-Path Conjecture
  • Paths on Polyhedra. I
  • Paths on Polytopes


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