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Completely Reachable Automata: An Interplay Between Automata, Graphs, and Trees
Eugenija A. Bondar, David Casas and Mikhail V. Volkov International Journal of Foundations of Computer Science 34(06) 655 (2023) https://doi.org/10.1142/S0129054123450053
Binary and circular automata having maximal state complexity for the set of synchronizing words
Circular automata synchronize with high probability
Christoph Aistleitner, Daniele D'Angeli, Abraham Gutierrez, Emanuele Rodaro and Amnon Rosenmann Journal of Combinatorial Theory, Series A 178 105356 (2021) https://doi.org/10.1016/j.jcta.2020.105356
Slowly synchronizing automata with fixed alphabet size
On the Interplay Between Černý and Babai’s Conjectures
François Gonze, Vladimir V. Gusev, Raphaël M. Jungers, Balázs Gerencsér and Mikhail V. Volkov International Journal of Foundations of Computer Science 30(01) 93 (2019) https://doi.org/10.1142/S0129054119400057
Developments in Language Theory
Jarkko Kari, Andrew Ryzhikov and Anton Varonka Lecture Notes in Computer Science, Developments in Language Theory 11647 74 (2019) https://doi.org/10.1007/978-3-030-24886-4_5
Complexity of road coloring with prescribed reset words
Vladimir V. Gusev, Raphaël M. Jungers and Daniel Průša Lecture Notes in Computer Science, Developments in Language Theory 11088 379 (2018) https://doi.org/10.1007/978-3-319-98654-8_31
A machine learning approach to synchronization of automata
François Gonze, Vladimir V. Gusev, Balázs Gerencsér, Raphaël M. Jungers and Mikhail V. Volkov Lecture Notes in Computer Science, Developments in Language Theory 10396 185 (2017) https://doi.org/10.1007/978-3-319-62809-7_13
Eugenija A. Bondar and Mikhail V. Volkov Lecture Notes in Computer Science, Descriptional Complexity of Formal Systems 9777 1 (2016) https://doi.org/10.1007/978-3-319-41114-9_1
Černý conjecture for edge-colored digraphs with few junctions
Andrzej Kisielewicz, Jakub Kowalski and Marek Szykuła Lecture Notes in Computer Science, Implementation and Application of Automata 9705 176 (2016) https://doi.org/10.1007/978-3-319-40946-7_15
François Gonze and Raphaël M. Jungers Lecture Notes in Computer Science, Language and Automata Theory and Applications 8977 212 (2015) https://doi.org/10.1007/978-3-319-15579-1_16
Cliques and colorings in generalized Paley graphs and an approach to synchronization
Mikhail Berlinkov and Marek Szykuła Lecture Notes in Computer Science, Mathematical Foundations of Computer Science 2015 9234 103 (2015) https://doi.org/10.1007/978-3-662-48057-1_8
Independent sets of words and the synchronization problem
A QUADRATIC UPPER BOUND ON THE SIZE OF A SYNCHRONIZING WORD IN ONE-CLUSTER AUTOMATA
MARIE-PIERRE BÉAL, MIKHAIL V. BERLINKOV and DOMINIQUE PERRIN International Journal of Foundations of Computer Science 22(02) 277 (2011) https://doi.org/10.1142/S0129054111008039
A lower bound for the length of the shortest carefully synchronizing words
D. S. Ananichev, M. V. Volkov and Yu. I. Zaks Lecture Notes in Computer Science, Developments in Language Theory 4036 433 (2006) https://doi.org/10.1007/11779148_39
Dimitry S. Ananichev and Mikhail V. Volkov Lecture Notes in Computer Science, Developments in Language Theory 2710 111 (2003) https://doi.org/10.1007/3-540-45007-6_8