| Issue |
RAIRO-Theor. Inf. Appl.
Volume 58, 2024
|
|
|---|---|---|
| Article Number | 3 | |
| Number of page(s) | 7 | |
| DOI | https://doi.org/10.1051/ita/2024003 | |
| Published online | 01 March 2024 | |
Synchronization of Primitive Automata
Institute of Natural Sciences and Mathematics, Ural Federal University, Ekaterinburg, Russia
* Corresponding author: m.v.volkov@urfu.ru
Received:
23
July
2023
Accepted:
12
February
2024
We exhibit new conditions under which a primitive automaton is synchronizing. In particular, we show that the primitivity of an automaton forces its synchronizability whenever the automaton has either a letter of defect 1 or a word of rank 2.
Mathematics Subject Classification: 68Q45
Key words: Deterministic finite automaton / synchronizing automaton / primitive automaton / rank of a word in an automaton / defect of a word in an automaton
© The authors. Published by EDP Sciences, 2024
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