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The heterochromatic tree partition number of an $$r$$ -edge-colored graph $$G,$$ denoted by $$t_r(G),$$ is the minimum positive integer $$p$$ such that whenever the edges of the graph $$G$$ are colored with $$r$$ colors, the vertices of $$G$$ can be covered by at most $$p$$ vertex disjoint heterochromatic trees. In this article we determine the upper and lower...
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