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The enumeration of maps on the torus and the projective plane. (English) Zbl 0617.05036
The enumeration of rooted maps, (embedded graphs), by number of edges, on the torus and projective plane, is studied. Explicit expressions for the generating functions are obtained. Numerical tables for the numbers with up to 20 edges are presented.

MSC:
05C30 Enumeration in graph theory
05A15 Exact enumeration problems, generating functions
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