Geodesic
Generalized de Bruijn graphs
Matematičeskie zametki, Tome 62 (1997) no. 4, pp. 540-548 Cet article a éte moissonné depuis la source Math-Net.Ru

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Oriented graphs in which every pair of vertices can be connected by a unique path of given length (not depending on the choice of the pair of vertices) are studied. These graphs are a natural extension of the well-known de Bruijn graphs and retain their most important properties. Some results on the structure of and methods for constructing such graphs are obtained. 
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     title = {Generalized de {Bruijn} graphs},
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     year = {1997},
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}
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F. M. Malyshev; V. E. Tarakanov. Generalized de Bruijn graphs. Matematičeskie zametki, Tome 62 (1997) no. 4, pp. 540-548. http://geodesic.mathdoc.fr/item/MZM_1997_62_4_a6/

[1] Kholl M., Kombinatorika, Mir, M., 1970

[2] Good I. J., “Normal recurring decimals”, J. London Math. Soc., 21 (1946), 167–169 | DOI | MR | Zbl

[3] Fredricksen H., “A survey of full length nonlinear shift register cycle algorithms”, SIAM Rev., 24:2 (1982), 195–221 | DOI | MR | Zbl

[4] Kratko M. I., Strok V. V., “Posledovatelnosti de Breina s ogranicheniyami”, Voprosy kibernetiki. Kombinatornyi analiz i teoriya grafov, Nauka, M., 1980, 80–84

[5] Shirisheva I. V., “O chisle konechnykh avtomatov, ustanavlivaemykh postoyannym vkhodom v fiksirovannoe sostoyanie”, Diskretnaya matem., 6:4 (1994), 80–86 | MR

[6] Kharari F., Teoriya grafov, Mir, M., 1973

[7] Allow C. M., Brenner J. L., “Roots and canonical forms for circulant matrices”, Trans. Amer. Math. Soc., 107 (1963), 60–76