The underlying graph of a line digraph

The underlying graph of a line digraph

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Article ID: iaor1993634
Country: Netherlands
Volume: 37/38
Issue: 1/5
Start Page Number: 525
End Page Number: 538
Publication Date: Jul 1992
Journal: Discrete Applied Mathematics
Authors:
Abstract:

The recovery of a line digraph from its underlying graph is considered in this paper. The location of loops and digons are determined, and save for a few exceptions, the solution is unique up to converses. The relation between the automorphism groups of a line digraph and its underlying graph follows as a corollary. The results are applied to de Bruijn and Kautz digraphs.

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