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Some Asymptotical Estimates for Planar Eulerian Maps

Published online by Cambridge University Press:  12 September 2008

Valery A. Liskovets
Valery A. Liskovets
Affiliation:
Fakultäet Mathematik und Naturwiss, Technische Universitäet Dresden, Institut für Algebra, Mommsenstr. 13, D-01062 Dresden, Germany
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Abstract

In this paper, asymptotical estimates of the form Rn(1+o(1)) for various classes of planar valency-restricted Eulerian maps are established. It follows, in particular, that ‘almost all’ (as n → ∞) n-edged planar Eulerian maps have n/3 (1+o(1)) vertices. A brief survey of known asymptotical results (a table of values of R) for various classes of planar maps is also presented.

Type
Research Article
Information
Combinatorics, Probability and Computing , Volume 5 , Issue 2 , June 1996 , pp. 131 - 138
Copyright
Copyright © Cambridge University Press 1996

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