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...

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Detalhes bibliográficos
Principais autores: Illingworth, F, Powierski, E, Scott, A, Tamitegama, Y
Formato: Journal article
Idioma:English
Publicado em: Electronic Journal of Combinatorics 2023