On functional equations arising from map enumerations

DOI10.1016/0012-365X(93)90009-IzbMath0792.05074OpenAlexW1993779612MaRDI QIDQ1313970

Yanpei Liu

Publication date: 1 March 1994

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0012-365x(93)90009-i

zbMATH Keywords

generating functionsfunctional equationsenumerationsplanar map

Mathematics Subject Classification ID

Enumeration in graph theory (05C30) Functional equations for real functions (39B22) Planar graphs; geometric and topological aspects of graph theory (05C10) Formal power series rings (13F25)

Related Items

Counting rooted 4-regular unicursal planar maps, Counting rooted unicursal planar maps, On the number of fair triangulations, The number of rooted Eulerian planar maps, The enumeration of general rooted planar maps, Enumeration on nonseparable planar maps

Cites Work

• The number of loopless planar maps
• Enumerating rooted simple planar maps
• Enumerating rooted loopless planar maps
• On the vertex partition equation of loopless Eulerian planar maps
• Counting rooted maps by genus. III: Nonseparable maps
• Enumeration of rooted vertex non-separable planar maps
• Enumeration des graphes planaires à l'aide des séries formelles en variables non commutatives
• On face partition of rooted outerplanar maps
• A Census of Slicings
• On the enumeration of planar maps
• A Census of Planar Maps
• Enumeration of Non-Separable Planar Maps
• On the Enumeration of Rooted Non-Separable Planar Maps
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