Geodesic
Skeleton automata
Prikladnaâ diskretnaâ matematika, no. 2 (2011), pp. 73-76.

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A skeleton automaton is an automaton in which the relation of mutual accessibility of states is the identity relation. We prove that automata that admit a regular enumeration of states are exactly skeleton automata. It is shown how for a given automaton one can construct an automaton with minimal number of states that has the same subautomata lattice, and is necessarily a skeleton automaton. A procedure is proposed to obtain a skeleton automaton from a given automaton by removal of minimal number of arcs in its transition diagram.
Keywords: automaton, strongly connected automaton, skeleton automaton, regular enumeration of states, subautomata lattice. 
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     author = {V. N. Salii},
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     url = {http://geodesic.mathdoc.fr/item/PDM_2011_2_a4/}
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V. N. Salii. Skeleton automata. Prikladnaâ diskretnaâ matematika, no. 2 (2011), pp. 73-76. http://geodesic.mathdoc.fr/item/PDM_2011_2_a4/

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