Enumeration of rooted cubic planar maps

DOI10.1007/s000260200006zbMath1017.05050OpenAlexW2078935483MaRDI QIDQ1400784

Nicholas C. Wormald, Zhi-Cheng Gao

Publication date: 14 August 2003

Published in: Annals of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s000260200006

zbMATH Keywords

generating functionasymptotic enumerationplanar mapcubic planar map

Mathematics Subject Classification ID

Enumeration in graph theory (05C30)

Related Items (9)

Enumeration of \(r\)-regular maps on the torus. I: Rooted maps on the torus, the projective plane and the Klein bottle. Sensed maps on the torus ⋮ Triangles in random cubic planar graphs ⋮ Enumeration of non-positive planar trivalent graphs ⋮ Random cubic planar maps ⋮ Cubic graphs and related triangulations on orientable surfaces ⋮ Asymptotic expansions for sub-critical lagrangean forms ⋮ Generating unlabeled connected cubic planar graphs uniformly at random ⋮ On the expected number of perfect matchings in cubic planar graphs ⋮ Random cubic planar graphs

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