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Kruskal's algorithm [1] finds a minimum spanning forest of an undirected edge-weighted graph. If the graph is connected, it finds a minimum spanning tree. It is a greedy algorithm that in each step adds to the forest the lowest-weight edge that will not form a cycle. [2] The key steps of the algorithm are sorting and the use of a disjoint-set ...
Flowchart of using successive subtractions to find the greatest common divisor of number r and s. In mathematics and computer science, an algorithm (/ ˈ æ l ɡ ə r ɪ ð əm / ⓘ) is a finite sequence of mathematically rigorous instructions, typically used to solve a class of specific problems or to perform a computation.
Gauss–Legendre algorithm: computes the digits of pi. Chudnovsky algorithm: a fast method for calculating the digits of π. Bailey–Borwein–Plouffe formula: (BBP formula) a spigot algorithm for the computation of the nth binary digit of π. Division algorithms: for computing quotient and/or remainder of two numbers.
In computational geometry, numerous algorithms are proposed for computing the convex hull of a finite set of points, with various computational complexities . Computing the convex hull means that a non-ambiguous and efficient representation of the required convex shape is constructed. The complexity of the corresponding algorithms is usually ...
Search algorithm. In computer science, a search algorithm is an algorithm designed to solve a search problem. Search algorithms work to retrieve information stored within particular data structure, or calculated in the search space of a problem domain, with either discrete or continuous values . Although search engines use search algorithms ...
In mathematical optimization, Dantzig's simplex algorithm (or simplex method) is a popular algorithm for linear programming.. The name of the algorithm is derived from the concept of a simplex and was suggested by T. S. Motzkin.
In computer science, divide and conquer is an algorithm design paradigm. A divide-and-conquer algorithm recursively breaks down a problem into two or more sub-problems of the same or related type, until these become simple enough to be solved directly. The solutions to the sub-problems are then combined to give a solution to the original problem.
In computer science, the analysis of algorithms is the process of finding the computational complexity of algorithms —the amount of time, storage, or other resources needed to execute them. Usually, this involves determining a function that relates the size of an algorithm's input to the number of steps it takes (its time complexity) or the ...