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Suppose that a graph is known to have a cycle

Suppose that a graph is known to have a cycle cut set of no more than k nodes. Describe a simple algorithm for finding a minimal cycle cut set whose runtime is not much more than Q(nk) for a CSP with n variables. Search the literature for methods for finding approximately minimal cycle cut sets in time that is polynomial in the size of the cut set. Does the existence of such algorithms make the cycle cut set method practical?

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