Geodesic
A lower bound for the length of the shortest carefully synchronizing words
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 1 (2010), pp. 59-68.

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We introduce a notion of careful synchronization for partial finite automata as a natural generalization of the synchronization notion for complete finite automata. We obtain a lower bound for the careful synchronization threshold for automata with a given number of states.
Keywords: finite automaton, partial finite automaton, synchronizability. 
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P. V. Martyugin. A lower bound for the length of the shortest carefully synchronizing words. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 1 (2010), pp. 59-68. http://geodesic.mathdoc.fr/item/IVM_2010_1_a5/

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