Asymptotics of Decomposable Combinatorial Structures of Alg-Log Type With Positive Log Exponent
2010 ◽
Vol DMTCS Proceedings vol. AM,...
(Proceedings)
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Keyword(s):
International audience We consider the multiset construction of decomposable structures with component generating function $C(z)$ of alg-log type, $\textit{i.e.}$, $C(z) = (1-z)^{-\alpha} (\log \frac{1}{ 1-z})^{\beta}$. We provide asymptotic results for the number of labeled objects of size $n$ in the case when $\alpha$ is positive and $\beta$ is positive and in the case $\alpha = 0$ and $\beta \geq 2$. The case $0<-\alpha <1$ and any $\beta$ and the case $\alpha > 0$ and $\beta = 0$ have been treated in previous papers. Our results extend previous work of Wright.
2010 ◽
Vol Vol. 12 no. 2
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2010 ◽
Vol Vol. 12 no. 2
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2014 ◽
Vol Vol. 16 no. 1
(Combinatorics)
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Keyword(s):
2007 ◽
Vol DMTCS Proceedings vol. AH,...
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2008 ◽
Vol DMTCS Proceedings vol. AJ,...
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2015 ◽
Vol DMTCS Proceedings, 27th...
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2020 ◽
Vol DMTCS Proceedings, 28th...
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2010 ◽
Vol DMTCS Proceedings vol. AN,...
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Keyword(s):
Keyword(s):