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On essential and inessential polygons in embedded graphs

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Publication:1850578
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DOI10.1006/jctb.2001.2065zbMath1025.05016OpenAlexW1995705554MaRDI QIDQ1850578

R. Bruce Richter, Richard P. Vitray

Publication date: 10 December 2002

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

Full work available at URL: https://doi.org/10.1006/jctb.2001.2065


zbMATH Keywords

discface chainorientable imbedding


Mathematics Subject Classification ID

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


Related Items (3)

Unnamed Item ⋮ Non-revisiting paths on surfaces with low genus ⋮ Connectivity and \(W_v\)-paths in polyhedral maps on surfaces



Cites Work

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  • Disjoint circuits of prescribed homotopies in a graph on a compact surface
  • W\({}_ V\) paths on the torus
  • \(W_ v\) paths in the projective plane
  • Graph minors. VII: Disjoint paths on a surface
  • Non-revisiting paths on surfaces with low genus
  • Nonrevisiting paths on surfaces
  • Separating and nonseparating disjoint homotopic cycles in graph embeddings
  • Curves von 2-manifolds and isotopies
  • Combinatorial Local Planarity and the Width of Graph Embeddings
  • Computing the orientable genus of projective graphs


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