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Enumeration of labeled 4-regular planar graphs

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Publication:1690037
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DOI10.1016/j.endm.2017.07.056zbMath1378.05092OpenAlexW2742440149MaRDI QIDQ1690037

Marc Noy, Clément Requilé, Juanjo Rué

Publication date: 18 January 2018

Full work available at URL: http://hdl.handle.net/2117/109823


zbMATH Keywords

generating functionsplanar graphsgraph enumeration


Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Enumeration in graph theory (05C30) Planar graphs; geometric and topological aspects of graph theory (05C10)


Related Items (3)

Random graphs: combinatorics, complex networks and disordered systems. Abstracts from the workshop held March 26--31, 2023 ⋮ Unnamed Item ⋮ Structure and enumeration of \(K_{4}\)-minor-free links and link diagrams



Cites Work

  • Unnamed Item
  • Generation of simple quadrangulations of the sphere
  • Asymptotic enumeration and limit laws of planar graphs
  • Random cubic planar graphs
  • Generating all 4-regular planar graphs from the graph of the octahedron
  • Generating all 3‐connected 4‐regular planar graphs from the octahedron graph
  • The enumeration of c-nets via quadrangulations


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