The number of loopless planar maps

DOI10.1016/0012-365X(85)90084-6zbMath0563.05032MaRDI QIDQ1057283

Edward A. Bender, Nicholas C. Wormald

Publication date: 1985

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

zbMATH Keywords

enumerationloopless planar maps

Mathematics Subject Classification ID

Enumeration in graph theory (05C30) Planar graphs; geometric and topological aspects of graph theory (05C10)

Related Items

Chromatic sums of general maps on the sphere and the projective plane, Improved enumeration of simple topological graphs, The number of rooted circuit boundary maps, Random cubic planar maps, Counting unrooted loopless planar maps, Enumeration of unrooted maps of a given genus, Enumeration of rooted 4-regular maps without planar loops, Enumeration of loopless maps on the projective plane, A survey of the asymptotic behaviour of maps, A pattern of asymptotic vertex valency distributions in planar maps, On functional equations arising from map enumerations

Cites Work

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• Counting rooted maps by genus. III: Nonseparable maps
• On elementary calculus and the Good formula
• A Census of Planar Triangulations
• Enumeration of Rooted Triangular Maps
• Enumeration of Triangulations of the Disk
• A Census of Planar Maps
• On the Enumeration of Rooted Non-Separable Planar Maps