MacLane's theorem for arbitrary surfaces

DOI10.1016/j.jctb.2008.03.005zbMath1180.05036OpenAlexW2000664493MaRDI QIDQ1003829

Reinhard Diestel, Henning Bruhn

Publication date: 4 March 2009

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

Full work available at URL: https://doi.org/10.1016/j.jctb.2008.03.005

zbMATH Keywords

surfaceembeddingscycle spacegenusMacLane's theorem

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 (3)

Locally finite graphs with ends: A topological approach. II: Applications ⋮ The smallest self-dual embeddable graphs in a pseudosurface ⋮ Self-dual embeddings of K_{4m,4n} in different orientable and nonorientable pseudosurfaces with the same Euler characteristic

Cites Work

• Applications of algebraic topology. Graphs and networks. The Picard- Lefschetz theory and Feynman integrals
• Relative Embeddings of Graphs on Closed Surfaces
• On the surface duality of linear graphs
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