Geodesic
The labeling graphs of definite automata
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 5 (2019), pp. 44-48
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The paper describes the algorithm of labelling direct graph's edges so that the obtained transition graph represents a definite automata. 
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R. A. Ishchenko. The labeling graphs of definite automata. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 5 (2019), pp. 44-48. http://geodesic.mathdoc.fr/item/VMUMM_2019_5_a7/

[1] Ischenko R.A., “Grafy gruppovykh avtomatov”, Intellektualnye sistemy, 21:2 (2017), 111–116

[2] Ginzburg A., “About some properties of definite, reverse-definite and related automata”, IEEE Trans. Electronic Computers, 15 (1966), 806–810 | DOI | Zbl

[3] Perles M., Rabin M.O., Shamir E., “Theory of definite automata”, IEEE Trans. Electronic Computers, 12 (1963), 233–243 | DOI | MR | Zbl