English

Enumeration of minimal acyclic automata via generalized parking functions

Combinatorics 2015-05-07 v2

Abstract

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.

Keywords

Cite

@article{arxiv.1411.4757,
  title  = {Enumeration of minimal acyclic automata via generalized parking functions},
  author = {Jean-Baptiste Priez},
  journal= {arXiv preprint arXiv:1411.4757},
  year   = {2015}
}