Enumeration of minimal acyclic automata via generalized parking functions
Discrete mathematics & theoretical computer science, DMTCS Proceedings, 27th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2015), DMTCS Proceedings, 27th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2015) (2015).

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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 functions and the transitions functions of acyclic automata.
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     author = {Priez, Jean-Baptiste},
     title = {Enumeration of minimal acyclic automata via generalized parking functions},
     journal = {Discrete mathematics & theoretical computer science},
     publisher = {mathdoc},
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     year = {2015},
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Priez, Jean-Baptiste. Enumeration of minimal acyclic automata via generalized parking functions. Discrete mathematics & theoretical computer science, DMTCS Proceedings, 27th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2015), DMTCS Proceedings, 27th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2015) (2015). doi : 10.46298/dmtcs.2471. http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.2471/

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