From light edges to strong edge-colouring of 1-planar graphs

A strong edge-colouring of an undirected graph $G$ is an edge-colouring where every two edges at distance at most~$2$ receive distinct colours. The strong chromatic index of $G$ is the least number of colours in a strong edge-colouring of $G$. A conjecture of Erd\H{o}s and Ne\v{s}et\v{r}il, stated b...

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Bibliographic Details
Main Authors: Julien Bensmail, François Dross, Hervé Hocquard, Eric Sopena
Format: Article
Language:English
Published: Discrete Mathematics & Theoretical Computer Science 2020-01-01
Series:Discrete Mathematics & Theoretical Computer Science
Subjects:
Online Access:https://dmtcs.episciences.org/5404/pdf