Maximal Line Digraphs

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Authors: Quentin Japhet, Dimitri Watel, Dominique Barth, Marc-Antoine Weisser
Cited by: 0

Abstract

ABSTRACT A line digraph is the digraph constructed from the digraph such that there is an arc in if the terminal node of in is the initial node of . The maximum number of arcs in a line digraph with nodes is if is even, and otherwise. For , there is only one line digraph with as many arcs if is even, and if is odd, there are two line digraphs, each being the transpose of the other.

Fields of Study & Subjects

Computational Geometry and Mesh Generation graph theory and CDMA systems Advanced Graph Theory Research

Publication details

Journal / source
Journal of Graph Theory
Volume
112
Issue
4
Pages
456–468
Publication date
14 April 2026
Language
EN