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A graph G is (k,l) if its vertex set can be partitioned into at most k independent sets and l cliques. The (k,l)-Graph Sandwich Problem asks, given two graphs G 1 =(V,E 1 ) and G 2 =(V,E 2 ), whether there exists a graph G=(V,E) such that E 1 E E 2 and G is (k,l). In this paper, we prove that the (k,l)-Graph Sandwich Problem is NP-complete for the cases...
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