Maximal Line Digraphs - Archive ouverte HAL Access content directly
Preprints, Working Papers, ... Year : 2024

Maximal Line Digraphs


A line digraph L(G) = (A, E) is the digraph constructed from the digraph G = (V, A) such that there is an arc (a, b) in L(G) if the terminal node of a in G is the initial node of b. The maximum number of arcs in a line digraph with m nodes is (m/2)2 + (m/2) if m is even, and ((m − 1)/2)2 + m − 1 otherwise. For m ≥ 7, there is only one line digraph with as many arcs if m is even, and if m is odd, there are two line digraphs, each being the transpose of the other.
Fichier principal
Vignette du fichier
zqfbqtqwgqcbgrtnqxkktgkhwyzdnsyg.pdf (484.94 Ko) Télécharger le fichier
Origin Files produced by the author(s)

Dates and versions

hal-04587485 , version 1 (24-05-2024)
hal-04587485 , version 2 (11-06-2024)


  • HAL Id : hal-04587485 , version 2


Quentin Japhet, Dimitri Watel, Dominique Barth, Marc-Antoine Weisser. Maximal Line Digraphs. 2024. ⟨hal-04587485v2⟩
117 View
15 Download


Gmail Mastodon Facebook X LinkedIn More