randomizing algorithm - significado y definición. Qué es randomizing algorithm
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Qué (quién) es randomizing algorithm - definición

ALGORITHM USED IN ARITHMETIC
Tonelli algorithm; Tonelli's algorithm; Shanks-Tonelli algorithm; Shanks–Tonelli algorithm; Tonelli-Shanks algorithm; Shanks algorithm

Randomized algorithm         
  • Figure 1: Contraction of vertex A and B
  • Figure 2: Successful run of Karger's algorithm on a 10-vertex graph. The minimum cut has size 3 and is indicated by the vertex colours.
ALGORITHM DESIGNED TO USE RANDOMNESS FROM AUXILIARY INPUTS AS PART OF ITS LOGIC
Probabilistic algorithm; Probabalistic algorithm; Randomised algorithm; Randomized algorithms; Probabilistic algorithms; Derandomisation; Derandomization; Randomized computation; Random computation; Random algorithm; Randomized complexity; Probabilistic complexity; Probabilistic computational complexity; Probabilistic complexity theory; Probabilistic-Complexity Theory; Computational complexity of randomized algorithms
A randomized algorithm is an algorithm that employs a degree of randomness as part of its logic or procedure. The algorithm typically uses uniformly random bits as an auxiliary input to guide its behavior, in the hope of achieving good performance in the "average case" over all possible choices of random determined by the random bits; thus either the running time, or the output (or both) are random variables.
Prim's algorithm         
  • The adjacency matrix distributed between multiple processors for parallel Prim's algorithm. In each iteration of the algorithm, every processor updates its part of ''C'' by inspecting the row of the newly inserted vertex in its set of columns in the adjacency matrix. The results are then collected and the next vertex to include in the MST is selected globally.
  • generation]] of this maze, which applies Prim's algorithm to a randomly weighted [[grid graph]].
  • Prim's algorithm starting at vertex A. In the third step, edges BD and AB both have weight 2, so BD is chosen arbitrarily. After that step, AB is no longer a candidate for addition to the tree because it links two nodes that are already in the tree.
  • Demonstration of proof. In this case, the graph ''Y<sub>1</sub>'' = ''Y'' − ''f'' + ''e'' is already equal to ''Y''. In general, the process may need to be repeated.
ALGORITHM
Jarnik algorithm; Prim-Jarnik algorithm; Prim-Jarnik's algorithm; Jarnik's algorithm; Prim-Jarník; DJP algorithm; Jarník algorithm; Jarník's algorithm; Jarníks algorithm; Jarniks algorithm; Prim-Jarník algorithm; Prim-Jarnik; Prim algorithm; Prim’s algorithm; Jarník-Prim; Prims algorithm
In computer science, Prim's algorithm (also known as Jarník's algorithm) is a greedy algorithm that finds a minimum spanning tree for a weighted undirected graph. This means it finds a subset of the edges that forms a tree that includes every vertex, where the total weight of all the edges in the tree is minimized.
Dinic's algorithm         
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ALGORITHM FOR COMPUTING THE MAXIMAL FLOW OF A NETWORK
Dinic's Algorithm; Dinitz blocking flow algorithm; Blocking flow; Dinic algorithm
Dinic's algorithm or Dinitz's algorithm is a strongly polynomial algorithm for computing the maximum flow in a flow network, conceived in 1970 by Israeli (formerly Soviet) computer scientist Yefim (Chaim) A. Dinitz.

Wikipedia

Tonelli–Shanks algorithm

The Tonelli–Shanks algorithm (referred to by Shanks as the RESSOL algorithm) is used in modular arithmetic to solve for r in a congruence of the form r2n (mod p), where p is a prime: that is, to find a square root of n modulo p.

Tonelli–Shanks cannot be used for composite moduli: finding square roots modulo composite numbers is a computational problem equivalent to integer factorization.

An equivalent, but slightly more redundant version of this algorithm was developed by Alberto Tonelli in 1891. The version discussed here was developed independently by Daniel Shanks in 1973, who explained:

My tardiness in learning of these historical references was because I had lent Volume 1 of Dickson's History to a friend and it was never returned.

According to Dickson, Tonelli's algorithm can take square roots of x modulo prime powers pλ apart from primes.