\(W_ v\) paths in the projective plane

DOI10.1016/0012-365X(86)90112-3zbMath0648.05034OpenAlexW2012428799MaRDI QIDQ1104936

D. W. Barnette

Publication date: 1986

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0012-365x(86)90112-3

zbMATH Keywords

graphprojective planepathcell complexembedded in a manifold

Mathematics Subject Classification ID

Finite affine and projective planes (geometric aspects) (51E15) Paths and cycles (05C38) Planar graphs; geometric and topological aspects of graph theory (05C10)

Related Items (7)

\(W_ v\) cycles in plane graphs ⋮ Nonrevisiting paths on surfaces ⋮ Non-revisiting paths on surfaces with low genus ⋮ Connectivity and \(W_v\)-paths in polyhedral maps on surfaces ⋮ W\({}_ V\) paths on the torus ⋮ A 2-manifold of genus 8 without the \(W_ v\)-property ⋮ On essential and inessential polygons in embedded graphs

Cites Work

• Graph theorems for manifolds
• A 3-Sphere Counterexample to the W_v-Path Conjecture
• Paths on Polytopes
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