While they seem to perform well on random graphs, a major drawback of these algorithms is their exponential time performance in the worst case.
42.
It's also known that if P = NP, then EXPTIME NEXPTIME, the class of problems solvable in exponential time by a nondeterministic Turing machine.
43.
This is substantially faster than the most efficient known classical factoring algorithm, the general number field sieve, which works in sub-exponential time about.
44.
The same dynamic programming method also can be applied to graphs with unbounded pathwidth, leading to algorithms that solve unparametrized graph problems in exponential time.
45.
Davenport and Heintz ( 1988 ) proved that quantifier elimination is in fact ( at least ) exponential space, and therefore in doubly exponential time.
46.
Therefore, the obvious approach to simulate such a system requires exponential time on a quantum bits similar to the number of particles in the original system.
47.
For example, it is possible that SAT requires exponential time in the worst case, but that almost all randomly selected instances of it are efficiently solvable.
48.
An algorithm that solves a problem in nondeterministic polynomial time can run in polynomial time or exponential time depending on the choices it makes during execution.
49.
The class 2-EXPTIME is defined similarly to EXPTIME but with a doubly exponential time bound 2 ^ { 2 ^ { p ( n ) } }.
50.
Another type of network are G-networks first proposed by Erol Gelenbe in 1993 : these networks do not assume exponential time distributions like the classic Jackson Network.
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