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A pattern for the asymptotic number of rooted maps on surfaces

✍ Scribed by Zhicheng Gao

Publisher: Elsevier Science
Year: 1993
Tongue: English
Weight: 642 KB
Volume: 64
Category: Article
ISSN: 0097-3165
DOI: 10.1016/0097-3165(93)90097-r

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Let D be a finite set of positive integers with maximum bigger than two and ti,,.(rii,,.) be the number of n-edged rooted maps on the orientable (nonorientable) surface of type 9 whose face degrees (or, dually, vertex degrees) all lie in D. Define A&)= 1 ~g,&", ll>O cl,(x)= 1 fis,"X". ## Il>O We