Let G be a fixed collection of digraphs. Given a digraph H, a G-packing of H is a collection of vertex disjoint subgraphs of H, each isomorphic to a member of G. For undirected graphs, Loebl and Poljak have completely characterized the complexity of deciding the existence of a perfect G-packing, in the case that G consists of two graphs one of which is a single edge on two vertices. We characterize G-packing where G consists of two digraphs one of which is a single arc on two vertices.
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