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A skew partition as defined by Chvátal is a partition of the vertex set of a graph into four nonempty parts A1,A2,B1,B2 such that there are all possible edges between A1 and A2, and no edges between B1 and B2. We introduce the concept of (n1,n2)-extended skew partition which includes all partitioning problems into n1+n2 nonempty parts A1,…,An1,B1,…,Bn2 such that there are all possible edges between...
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