| Issue |
RAIRO-Theor. Inf. Appl.
Volume 55, 2021
11th Workshop on Non-classical Models of Automata and Applications (NCMA 2019)
|
|
|---|---|---|
| Article Number | 7 | |
| Number of page(s) | 24 | |
| DOI | https://doi.org/10.1051/ita/2021005 | |
| Published online | 22 July 2021 | |
Synchronizing series-parallel deterministic finite automata with loops and related problems
Theoretische Informatik, Abteilung Informatikwissenschaften CIRT, Fachbereich 4,
Universität Trier, Germany.
* Corresponding author: fernau@uni-trier.de
Received:
2
January
2020
Accepted:
25
March
2021
We study the problem DFA-SW of determining if a given deterministic finite automaton A possesses a synchronizing word of length at most k for automata whose (multi-)graphs are TTSPL, i.e., series-parallel, plus allowing some self-loops. While DFA-SW remains NP-complete on TTSPL automata, we also find (further) restrictions with efficient (parameterized) algorithms. We also study the (parameterized) complexity of related problems, for instance, extension variants of the synchronizing word problem, or the problem of finding smallest alphabet-induced synchronizable sub-automata.
Mathematics Subject Classification: 68Q25 / 68Q45
Key words: Synchronizing words / series-parallel graphs / parameterized complexity
© The authors. Published by EDP Sciences, 2021
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