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