๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

The number of degree restricted maps on general surfaces

โœ Scribed by Zhicheng Gao


Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
727 KB
Volume
123
Category
Article
ISSN
0012-365X

No coin nor oath required. For personal study only.

โœฆ Synopsis


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 show that k&(x) and m,(x) are algebraic functions of a certain form. Asymptotic expressions for q,,. and %,, are also derived for some special sets D.


๐Ÿ“œ SIMILAR VOLUMES


On the Number of Solovay r-Degrees
โœ Douglas R. Busch ๐Ÿ“‚ Article ๐Ÿ“… 1976 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 275 KB