Priez, Jean-Baptiste - Enumeration of minimal acyclic automata via generalized parking functions

dmtcs:2471 - Discrete Mathematics & Theoretical Computer Science, January 1, 2015, DMTCS Proceedings, 27th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2015)
Enumeration of minimal acyclic automata via generalized parking functions

Authors: Priez, Jean-Baptiste

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.


Source : oai:HAL:hal-01337781v1
Volume: DMTCS Proceedings, 27th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2015)
Section: Proceedings
Published on: January 1, 2015
Submitted on: November 21, 2016
Keywords: generalized parking function,species,finite language,minimal acyclic deterministic finite automata,[INFO.INFO-DM] Computer Science [cs]/Discrete Mathematics [cs.DM]


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