Geodesic
About a Feistel block cipher generalization
Prikladnaâ diskretnaâ matematika, no. 3 (2012), pp. 34-40.

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Generalized Feistel Networks based on shift registers are investigated. The involutivity criterion is proved for the encryption algorithms in this class. The mixing properties of concerned algorithms are researched using a graph-theoretical approach. The upper bounds for the diameter and for the exponent of the mixing graph of the appropriated round function are given.
Keywords: Feistel block cipher, involutivity, mixing graph (matrix) of a transformation, diameter of a graph, exponent of a graph. 
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A. M. Koreneva; V. M. Fomichev. About a Feistel block cipher generalization. Prikladnaâ diskretnaâ matematika, no. 3 (2012), pp. 34-40. http://geodesic.mathdoc.fr/item/PDM_2012_3_a3/

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[3] Fomichev V. M., “Otsenki eksponentov primitivnykh grafov”, Prikladnaya diskretnaya matematika, 2011, no. 2(12), 101–112