The Cerny conjecture for automata respecting intervals of a directed graph
Mariusz Grech, Andrzej Kisielewicz · arXiv (Cornell University) · 2012
The Černý's conjecture states that for every synchronizing automaton with n states there exists a reset word of length not exceeding (n-11)^2. We prove this conjecture for a class of automata preserving certain properties of intervals of a directed graph. Our result unifies and generalizes some earlier results obtained by other authors.