AN ASYMPTOTIC FORMULA FOR exp(x/1-x)

Title & Authors
AN ASYMPTOTIC FORMULA FOR exp(x/1-x)
Song, Jun-Ho; Lee, Chang-Woo;

Abstract
We show that G(x) = $\small{e^{(x}}$(1-x))/ -1 is the exponential generating function for the labeled digraphs whose weak components are transitive tournaments and derive both a recursive formula and an explicit formula for the number of them on n vertices. Moreover, we investigate the asymptotic behavior for the coefficients of G(x) using Hayman's method.d.
Keywords
transitive tournament;exponetial generating function;recursive formula;admissible;Hayman's method;
Language
English
Cited by
References
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Topics on Tournaments, 1968.

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