Examples of using Polynomial time in English and their translations into Romanian
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The fully polynomial time approximation scheme(FPTAS) for the knapsack problem takes advantage of the fact that the reason the problem has no known polynomial time solutions is because the profits associated with the items are not restricted.
at least not NP-complete.[11] If graph isomorphism is NP-complete, the polynomial time hierarchy collapses to its second level.[12][13]
there can be no polynomial time algorithm that approximates the maximum clique to within a factor better than O(n1- ε),
Polynomial time algorithms are known for many algorithmic problems on matchings,
there is a polynomial time algorithm for maximum cliques based on applying the algorithm for complements of bipartite graphs to shared neighborhoods of pairs of vertices.
to show that there is a polynomial time many-one reduction from the boolean satisfiability problem to each of 21 combinatorial
No classical algorithm is known that can factor in polynomial time.
the problem can be solved in polynomial time.
To be exact, the knapsack problem has a fully polynomial time approximation scheme(FPTAS).[18].
these problems are outside P, and so require more than polynomial time.
The class of questions for which an answer can be verified in polynomial time is called NP, which stands for"nondeterministic polynomial time.".
all NP problems can be reduced(in polynomial time) to them.
The general class of questions for which some algorithm can provide an answer in polynomial time is called"class P" or just"P".
For instance, the language of True quantified Boolean formulas is decidable in polynomial space, but not non-deterministic polynomial time(unless NP= PSPACE).[9].
and Every problem in NP is reducible to C{\displaystyle\scriptstyle C} in polynomial time.[1].
If the shortest program that can solve SUBSET-SUM in polynomial time is b bits long,
there was a fierce debate among the computer scientists about whether NP-complete problems could be solved in polynomial time on a deterministic Turing machine.
Nobody has yet been able to determine conclusively whether NP-complete problems are in fact solvable in polynomial time, making this one of the great unsolved problems of mathematics.
For instance, the clique problem may be solved in polynomial time for planar graphs[22] while the independent set problem remains NP-hard on planar graphs.[23].