Embeddings of infinite graphs

DOI10.1016/0095-8956(88)90094-9zbMath0591.05028OpenAlexW1975792295MaRDI QIDQ1074594

Bojan Mohar

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1016/0095-8956(88)90094-9

zbMATH Keywords

embeddingsgenusinfinite graphsend of a graphcellular embeddingsnoncompact surfaces

Mathematics Subject Classification ID

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

Related Items (12)

Strong isoperimetric inequalities and combinatorial curvatures on multiply connected planar graphs ⋮ On the topology of infinite regular and chiral maps ⋮ Ising percolation in the hyperbolic plane ⋮ Involutions of hyperbolic spatial graph exteriors whose fixed point sets are closed surfaces ⋮ The set of vertices with positive curvature in a planar graph with nonnegative curvature ⋮ Realization of graph symmetries through spatial embeddings into the 3-sphere ⋮ Representations of graphs and networks (coding, layouts and embeddings) ⋮ Survey article: consequences of some outerplanarity extensions ⋮ Tree amalgamation of graphs and tessellations of the Cantor sphere ⋮ Bounds for isoperimetric constants of infinite plane graphs ⋮ An analogue of the Descartes-Euler formula for infinite graphs and Higuchi’s conjecture ⋮ 3-connected planar spaces uniquely embed in the sphere

Cites Work

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• Embedding graphs in surfaces
• Über unendliche Wege in Graphen
• FOUNDATIONS OF THE THEORY OF MAPS ON SURFACES WITH BOUNDARY
• The combinatorial map color theorem
• Theory of Maps on Orientable Surfaces
• Generalized Embedding Schemes
• The embeddings of a graph—A survey
• On the Classification of Noncompact Surfaces

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