| 1. | Quasi-polynomial time algorithms typically arise in NP ).
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| 2. | There exist though polynomial time algorithms for that problem for dense hypergraphs.
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| 3. | This caused lack of any known polynomial time algorithm that solved max flow problem in generic case.
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| 4. | Description : For long, there was no provably polynomial time algorithm for the linear programming problem.
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| 5. | The Atlantic City algorithms which are bounded probabilistic polynomial time algorithms are probably correct and probably fast.
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| 6. | Much of this initial work focused on problems for which worst-case polynomial time algorithms were already known.
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| 7. | However, non-existence of a polynomial time algorithm does not automatically ensure that the system is secure.
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| 8. | If so, this type of algorithm might serve our purposes almost as well as a polynomial time algorithm .
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| 9. | Describes a polynomial time algorithm that finds a clique of size in any graph that has clique number for any constant.
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| 10. | Quantum polynomial time algorithms exist for certain subclasses of groups, such as semi-direct products of some Abelian groups.
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