Rooted maps on orientable surfaces, Riccati's equation and continued fractions
We present a new approach in the study of rooted maps without regard to genus. We prove the existence of a new type of equation for the generating series of these maps enumerated with respect to edges and vertices. This is Riccati's equation. It seems to be the first time that such a differenti...
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Veröffentlicht in: | Discrete mathematics 2000-03, Vol.215 (1), p.1-12 |
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Format: | Artikel |
Sprache: | eng |
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