Abstract
As noted earlier, the study of line graphs as a topic of its own can be credited to Krausz in his 1943 paper. The line digraph counterpart was written by Harary and Norman and didn’t appear until 1960. In this chapter, line digraphs are defined, after which some of their elementary directed properties are established, including some involving connectedness, degrees, paths and cycles, and distance. This is followed by some of the nicest results on line digraphs that different greatly from their undirected counterparts: (1) non-isomorphic digraphs with isomorphic line digraphs, and (2) digraphs isomorphic to their line digraph.
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Beineke, L.W., Bagga, J.S. (2021). Fundamentals of Line Digraphs. In: Line Graphs and Line Digraphs. Developments in Mathematics, vol 68. Springer, Cham. https://doi.org/10.1007/978-3-030-81386-4_10
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DOI: https://doi.org/10.1007/978-3-030-81386-4_10
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