The number of rooted essential maps on surfaces

DOI10.1007/s10114-008-6181-9zbMath1184.05077OpenAlexW1987870908MaRDI QIDQ2519337

Yanpei Liu, Wenzhong Liu

Publication date: 26 January 2009

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-008-6181-9

zbMATH Keywords

essential mapEuler formulaenumerating functionLangrangian inversion

Mathematics Subject Classification ID

Enumeration in graph theory (05C30) Eulerian and Hamiltonian graphs (05C45)

Cites Work

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• Relations fonctionnelles et dénombrement des cartes pointées sur le tore. (Functional relations and the enumeration of rooted genus one maps)
• The number of rooted 2-connected triangular maps on the projective plane
• Counting rooted maps by genus. III: Nonseparable maps
• Counting rooted maps on a surface
• Enumeration of three kinds of rooted maps on the Klein bottle
• Counting rooted maps by genus. I
• Counting rooted maps by genus. II
• A Census of Planar Triangulations
• A Census of Slicings
• The Enumeration of Maps on the Torus and the Projective Plane
• On the enumeration of non-planar maps
• A Census of Planar Maps

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