Balancing connected colourings of graphs

We show that the edges of any graph <i>G</i> containing two edge-disjoint spanning trees can be blue/red coloured so that the blue and red graphs are connected and the blue and red degrees at each vertex differ by at most four. This improves a result of Hörsch. We discuss variations of t...

Full description

Bibliographic Details
Main Authors: Illingworth, F, Powierski, E, Scott, A, Tamitegama, Y
Format: Journal article
Language:English
Published: Electronic Journal of Combinatorics 2023