generalized binomial series
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scholarly journals On generalized binomial series and strongly regular graphs

2013 ◽  
Vol 32 (4) ◽  
pp. 393-408 ◽  
Author(s):  
Vasco Moço Mano ◽  
Luis Antonio de Almeida Vieira ◽  
Enide Andrade Martins
Keyword(s):  
Strongly Regular Graphs ◽  
Regular Graphs ◽  
Binomial Series ◽  
Strongly Regular ◽  
Generalized Binomial Series

scholarly journals On the asymptotic enumeration of accessible automata

2010 ◽  
Vol Vol. 12 no. 3 (Automata, Logic and Semantics) ◽  
Author(s):  
Elcio Lebensztayn
Keyword(s):  
Asymptotic Estimate ◽  
Asymptotic Enumeration ◽  
Lagrange Inversion ◽  
Binomial Series ◽  
Letter Alphabet ◽  
International Audience ◽  
Generalized Binomial Series

Automata, Logic and Semantics International audience We simplify the known formula for the asymptotic estimate of the number of deterministic and accessible automata with n states over a k-letter alphabet. The proof relies on the theory of Lagrange inversion applied in the context of generalized binomial series.

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