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The Floyd–Warshall algorithm is an example of dynamic programming, and was published in its currently recognized form by Robert Floyd in 1962. [3] However, it is essentially the same as algorithms previously published by Bernard Roy in 1959 [4] and also by Stephen Warshall in 1962 [5] for finding the transitive closure of a graph, [6] and is closely related to Kleene's algorithm (published ...
Floyd's cycle-finding algorithm is a pointer algorithm that uses only two pointers, which move through the sequence at different speeds. It is also called the "tortoise and the hare algorithm", alluding to Aesop's fable of The Tortoise and the Hare. The algorithm is named after Robert W. Floyd, who was credited with its invention by Donald Knuth.
Robert W. Floyd [1] (born Robert Willoughby Floyd; June 8, 1936 – September 25, 2001) was an American computer scientist. His contributions include the design of the Floyd–Warshall algorithm (independently of Stephen Warshall ), which efficiently finds all shortest paths in a graph and his work on parsing ; Floyd's cycle-finding algorithm ...
data dependencies in Floyd algorithm. In line 5 of the algorithm we have a synchronisation step to ensure that all processes have the data necessary to compute the next iteration. To improve the runtime of the algorithm we can remove the synchronisation step without affecting the correctness of the algorithm.
Hoare logic (also known as Floyd–Hoare logic or Hoare rules) is a formal system with a set of logical rules for reasoning rigorously about the correctness of computer programs. It was proposed in 1969 by the British computer scientist and logician Tony Hoare , and subsequently refined by Hoare and other researchers. [ 1 ]
LBPLibrary is a collection of eleven Local Binary Patterns (LBP) algorithms developed for background subtraction problem. The algorithms were implemented in C++ based on OpenCV. A CMake file is provided and the library is compatible with Windows, Linux and Mac OS X. The library was tested successfully with OpenCV 2.4.10.
Floyd's is not the only algorithm for solving the problem of detecting cycles in a sequence or functional graph. There is also an algorithm of Brent: maintain a single pointer into the sequence, and compare it to the sequence value at the last position that was a power of two.
The Floyd-Rivest algorithm is a divide and conquer algorithm, sharing many similarities with quickselect. It uses sampling to help partition the list into three sets. It then recursively selects the kth smallest element from the appropriate set. The general steps are: Select a small random sample S from the list L.