polynomial time algorithm वाक्य
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- Lenstra's most widely cited scientific result is the first polynomial time algorithm to LLL lattice reduction algorithm with Hendrik Willem Lenstra and L�szl?Lov�sz.
- This is weaker than saying it is a polynomial time algorithm, since it may run for super-polynomial time, but with very low probability.
- For theoretical purposes requiring a deterministic polynomial time algorithm, it was superseded by the AKS primality test, which also does not rely on unproven assumptions.
- Polynomial time algorithms are known for determining whether the derived graph of a \ mathbb { Z } ^ d-voltage graph contains any directed cycles.
- A major unresolved challenge is to determine if the problem admits a polynomial time algorithm, that is, whether the problem lies in the complexity class P.
- Description : There is a polynomial time algorithm to find a maximum matching in a graph that is not bipartite and another step toward the idea of computational complexity.
- Finally, subsequent to the proof of the strong perfect graph theorem, a polynomial time algorithm was discovered by Chudnovsky, Cornu�jols, Liu, Seymour, and Vuakovi.
- Then, Edmonds proved in the paper " Edge-Disjoint Branchings " the upper bound in the broadcast scenario is also achievable, and proposed a polynomial time algorithm.
- For any fixed m \ ge 2, these problems do admit a pseudo-polynomial time algorithm ( similar to the one for basic knapsack ) and a PTAS.
- By repeated random selection of a possible witness, the large probability that a random string is a witness gives an expected polynomial time algorithm for accepting or rejecting an input.
- For the same reason, there exists a polynomial time algorithm for testing whether a given graph has a planar cover, but an explicit description of this algorithm is not known.
- This was important for the use of elliptic curves in cryptography, and represented a theoretical breakthrough, as it was the first deterministic polynomial time algorithm for counting points on elliptic curves.
- The characterizations of well-covered graphs with girth five or more, and of well-covered graphs that are 3-regular, also lead to efficient polynomial time algorithms to recognize these graphs.
- That is, if we assume that Adleman's theorem ), the Karp Lipton theorem is also evidence that the use of randomization does not lead to polynomial time algorithms for NP-complete problems.
- Another proof of this theorem based on unique sink orientations was given by, and showed how to use this theorem to derive a polynomial time algorithm for reconstructing the face lattices of simple polytopes from their graphs.
- A consequence of this definition is that if we had a polynomial time algorithm ( on a Turing-equivalent abstract machine ) for \ scriptstyle C, we could solve all problems in NP in polynomial time.
- Later, Narendra Karmarkar presented a faster algorithm at : Narendra Karmarkar, " A new polynomial time algorithm for linear programming ", Combinatorica, vol 4, no . 4, p . 373 395, 1984.
- Similarly, in a unit disk graph ( with a known geometric representation ), 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.
- Since it is conjectured that NP-complete problems do not have quasi-polynomial time algorithms, some inapproximability results in the field of approximation algorithms make the assumption that NP-complete problems do not have quasi-polynomial time algorithms.
- Since it is conjectured that NP-complete problems do not have quasi-polynomial time algorithms, some inapproximability results in the field of approximation algorithms make the assumption that NP-complete problems do not have quasi-polynomial time algorithms.
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