English

Independent sets of words and the synchronization problem

Formal Languages and Automata Theory 2011-11-24 v1

Abstract

The synchronization problem is investigated for the class of locally strongly transitive automata introduced in a previous work of the authors. Some extensions of this problem related to the notions of stable set and word of minimal rank of an automaton are studied. An application to synchronizing colorings of aperiodic graphs with a Hamiltonian path is also considered.

Keywords

Cite

@article{arxiv.1111.5467,
  title  = {Independent sets of words and the synchronization problem},
  author = {Arturo Carpi and Flavio D'Alessandro},
  journal= {arXiv preprint arXiv:1111.5467},
  year   = {2011}
}