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A graph G=(V,E) is C probe if V can be partitioned into two sets, probes P and non-probes N, where N is independent and new edges may be added between non-probes such that the resulting graph is in the graph class C. We say that (N,P) is a C probe partition for G. The C unpartitioned probe problem consists of an input graph G and the question: Is G a C probe graph? A (k,ℓ)-partition of a graph G is...
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