Packing three copies of a tree into its sixth power

2021 
A graph H of order n is said to be $$k-placeable$$ into a graph G, having the same order n, if G contains k edge-disjoint copies of H. Kaneko et al. [9] proved that any non-star tree T is $$2-placeable$$ into its third power $$T^3$$ . In this paper, we give a particular interest on the $$3-placement$$ of a tree T into its sixth power $$T^6$$ .
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