Geodesic
Radii and centers in iterated line digraphs
Discussiones Mathematicae. Graph Theory, Tome 16 (1996) no. 1, pp. 17-26

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We show that the out-radius and the radius grow linearly, or "almost" linearly, in iterated line digraphs. Further, iterated line digraphs with a prescribed out-center, or a center, are constructed. It is shown that not every line digraph is admissible as an out-center of line digraph.
Keywords: center, digraph, line digraph, radius 
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Knor, Martin; Niepel, L'udovít. Radii and centers in iterated line digraphs. Discussiones Mathematicae. Graph Theory, Tome 16 (1996) no. 1, pp. 17-26. http://geodesic.mathdoc.fr/item/DMGT_1996_16_1_a1/