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math.CO2014★ 2 cited
Enumeration of minimal acyclic automata via generalized parking functions
Jean-Baptiste Priez
We give an exact enumerative formula for the minimal acyclic deterministic finite automata. This formula is obtained from a bijection between a family of generalized parking functi…
math.CO2014
Non-commutative Frobenius characteristic of generalized parking functions -- Application to enumeration
Jean-Baptiste Priez, Aladin Virmaux
We give a recursive definition of generalized parking function that allows us to view them as a species. From there we compute a non-commutative characteristic of the generalized p…