# On the synchronization of small sets of states

@article{Montoya2017OnTS, title={On the synchronization of small sets of states}, author={J. Andr{\'e}s Montoya and Christian Nolasco}, journal={Applied mathematical sciences}, year={2017}, volume={11}, pages={2151-2173} }

We study some problems related to the synchronization of finite state automata and The Černy’s conjecture. We focus on the synchronization of small sets of states, and more specifically on the synchronization of triples. We argue that it is the most simple synchronization scenario that exhibits the same intricacies of the original Černy’s scenario (all states synchronization). Thus, we argue that it is complex enough to be interesting, and tractable enough to be studied via algorithmic tools…

## 3 Citations

On the synchronization of finite state automata

- Computer Science
- 2020

It is proved that recognizing the planar games that can be won by the synchronizer is a co-NP hard problem and some additional results indicating that pla- nar games are as hard as nonplanar games amount to show that planar automata are representative of the intricacies of automata synchronization.

On the synchronization of planar automata

- Computer ScienceLATA
- 2018

New (and old) evidence is provided concerning the conjectured Cerny-universality of planar automata, which is conjectured to be representative of the synchronizing behavior of deterministic finite state automata.

Automata specialities: Cerny automata

- Computer Science
- 2018

We study the following question: what does make Černý automata such a singular set of automata? We give some partial answers. Mathematics Subject Classification: 68R01

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