Preprints, Working Papers, ... Year : 2024

Maximal Line Digraphs

Abstract

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)

Identifiers

Cite

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

Altmetric

Share

More