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Given a graph $G=(V,E)$ on $n$ vertices and an assignment of colours to itsedges, a set of edges $S \subseteq E$ is said to be rainbow if edges from $S$have pairwise different colours assigned to them. In this paper, we investigaterainbow spanning trees in randomly coloured random $G_{k-out}$ graphs.

Rainbow spanning trees in randomly coloured $G_{k-out}$