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arxiv: math/0701184 · v2 · pith:623Z4Q6Unew · submitted 2007-01-06 · 🧮 math.OC

On the complexity of local search in unconstrained quadratic binary optimization

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keywords localbinaryquadraticsearchalgorithmcasecomplexityconsider
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We consider the problem of finding a local minimum of a binary quadratic function, and show by an elementary construction that every descending local search algorithm takes exponential time in the worst case.

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