The asymptotic number of rooted maps on a surface. II: Enumeration by vertices and faces. (English) Zbl 0777.05065
[For Part I see ibid. Ser. A 43, 244-257 (1986; Zbl 0606.05031).]
The authors give new asymptotic formulae on the enumeration of rooted maps on a surface by vertices and faces simultaneously. The proof hinges on parametrizations of the generating functions.
The authors give new asymptotic formulae on the enumeration of rooted maps on a surface by vertices and faces simultaneously. The proof hinges on parametrizations of the generating functions.
Reviewer: L.A.Székely (Budapest)
MSC:
| 05C30 | Enumeration in graph theory |
| 05C10 | Planar graphs; geometric and topological aspects of graph theory |
| 05A16 | Asymptotic enumeration |
Citations:
Zbl 0606.05031References:
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