Duality of infinite graphs

DOI10.1016/0095-8956(82)90064-8zbMath0501.05054OpenAlexW2035926970MaRDI QIDQ1172075

Carsten Thomassen

Publication date: 1982

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(82)90064-8

zbMATH Keywords

dual graphsinfinite cutspredual graphsWhitney's 2-isomorphism theorem

Mathematics Subject Classification ID

Graph theory (05C99) Connectivity (05C40)

Related Items (18)

Geodetic rays and fibers in one-ended planar graphs ⋮ Separating double rays in locally finite planar graphs ⋮ Topological cycle matroids of infinite graphs ⋮ Whitney's 2-switching theorem, cycle spaces, and arc mappings of directed graphs ⋮ Axioms for infinite matroids ⋮ The set of vertices with positive curvature in a planar graph with nonnegative curvature ⋮ Resistances and currents in infinite electrical networks ⋮ Duality of Ends ⋮ Dual trees must share their ends ⋮ Percolation, perimetry, planarity ⋮ Algebraic flow theory of infinite graphs ⋮ Graph-like spaces: an introduction ⋮ Infinite matroids in graphs ⋮ Entropy-driven phase transition in low-temperature antiferromagnetic Potts models ⋮ Scaling behavior of diffusion on binary Archimedean electrical lattices and layers ⋮ Kuratowski's theorem ⋮ Generating the cycle space of planar graphs ⋮ Circuit preserving edge maps. II

Cites Work

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• Planarity and duality of finite and infinite graphs
• On Whitney's 2‐isomorphism theorem for graphs
• Fastplättbare Graphen
• On Planar Graphs
• Sur la Dualite en Theorie des Matroides
• How to Draw a Graph

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