Open Access
RAIRO-Theor. Inf. Appl.
Volume 58, 2024
Article Number 3
Number of page(s) 7
Published online 01 March 2024
  1. J. Kari, and M. Volkov, Černý’s conjecture and the road colouring problem, in Handbook of Automata Theory, Vol. I, edited by J.-É. Pin. EMS Publishing House (2021) 525–565. [CrossRef] [Google Scholar]
  2. M.V. Volkov, Synchronization of finite automata. Russ. Math. Surv. 77 (2022) 819–891. [CrossRef] [Google Scholar]
  3. G. Thierrin, Simple automata. Kybernetika (Praha) 6 (1970) 343–350. [Google Scholar]
  4. B. Steinberg, A theory of transformation monoids: combinatorics and representation theory. Electron. J. Combinatorics 17 (2010) article #R164. [CrossRef] [Google Scholar]
  5. I.K. Rystsov, Primitive and irreducible automata. Cybernet. Syst. Anal. 51 (2015) 506–513. [CrossRef] [Google Scholar]
  6. J. Almeida, and E. Rodaro, Semisimple synchronizing automata and the Wedderburn–Artin Theory. Int. J. Found. Comput. Sci. 27 (2016) 127–145. [CrossRef] [Google Scholar]
  7. A. Restivo, and R. Vaglica, A graph theoretic approach to automata minimality. Theor. Comput. Sci. 429 (2012) 282–291. [CrossRef] [Google Scholar]
  8. S. Davies, Primitivity, uniform minimality, and state complexity of boolean operations. Theory Comput. Syst. 62 (2018) 1952–2005. [CrossRef] [MathSciNet] [Google Scholar]
  9. J. Černý, Poznámka k homogénnym experimentom s konečnými automatmi. Matematicko-fyzikalny Časopis Slovenskej Akadémie Vied 14 (1964) 208–216. [In Slovak. English translation: A note on homogeneous experiments with finite automata. J. Automata Lang. Combinatorics 24 (2019) 123–132.] [Google Scholar]
  10. F. Arnold, and B. Steinberg, Synchronizing groups and automata. Theor. Comput. Sci. 359 (2006) 101–110. [CrossRef] [Google Scholar]
  11. P.M. Neumann, Primitive permutation groups and their section-regular partitions. Michigan Math. J. 58 (2009) 309–322. [CrossRef] [MathSciNet] [Google Scholar]
  12. J. Ara,újo, W. Bentz and P.J. Cameron, Groups synchronizing a transformation of non-uniform kernel. Theor. Comput. Sci. 498 (2013) 1–9. [CrossRef] [Google Scholar]
  13. J. Ara,újo and P.J. Cameron, Primitive groups synchronize non-uniform maps of extreme ranks. J. Combinatorial Theory, Ser. B 106 (2014) 98–114. [CrossRef] [MathSciNet] [Google Scholar]
  14. J. Ara,újo, W. Bentz, P.J. Cameron, G. Royle and A. Schaefer, Primitive groups, graph endomorphisms and synchronization. Proc. London Math. Soc. 113 (2016) 829–867. [CrossRef] [MathSciNet] [Google Scholar]
  15. I.K. Rystsov, Marek Szykula, Primitive automata that are synchronizing. ArXiv (2023) [Google Scholar]
  16. J. Ara,újo, P.J. Cameron and B. Steinberg, Between primitive and 2-transitive: Synchronization and its friends. EMS Surv. Math. Sci. 4 (2017) 101–184. [CrossRef] [MathSciNet] [Google Scholar]
  17. I. K. Rystsov, Quasioptimal bound for the length of reset words for regular automata. Acta Cybernetica 12 (1995), 145–152. [MathSciNet] [Google Scholar]
  18. I.K. Rystsov, Estimation of the length of reset words for automata with simple idempotents. Cybernet. Syst. Anal. 36 (2000) 339–344. [CrossRef] [Google Scholar]
  19. K. Culik, II, J. Karhumäki and J. Kari, A note on synchronized automata and Road Coloring Problem. Int. J. Found. Comput. Sci. 13 (2002) 459–471. [CrossRef] [Google Scholar]
  20. A.N. Trahtman, The road coloring problem. Isr. J. Math. 172 (2009) 51–60. [CrossRef] [Google Scholar]

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