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More formally, given a universe and a family of subsets of , a set cover is a subfamily of sets whose union is . In the set cover decision problem, the input is a pair and an integer ; the question is whether there is a set cover of size or less. In the set cover optimization problem, the input is a pair , and the task is to find a set cover ...
The closest pair of points problem or closest pair problem is a problem of computational geometry: given points in metric space, find a pair of points with the smallest distance between them. The closest pair problem for points in the Euclidean plane [1] was among the first geometric problems that were treated at the origins of the systematic ...
The Boyer–Moore majority vote algorithm is an algorithm for finding the majority of a sequence of elements using linear time and a constant number of words of memory. It is named after Robert S. Boyer and J Strother Moore, who published it in 1981, [1] and is a prototypical example of a streaming algorithm. In its simplest form, the algorithm ...
Whenever the sum of the current element in the first array and the current element in the second array is more than T, the algorithm moves to the next element in the first array. If it is less than T, the algorithm moves to the next element in the second array. If two elements that sum to T are found, it stops. (The sub-problem for two elements ...
Linear probing is a component of open addressing schemes for using a hash table to solve the dictionary problem.In the dictionary problem, a data structure should maintain a collection of key–value pairs subject to operations that insert or delete pairs from the collection or that search for the value associated with a given key.
An element g of a group G is called a real element of G if it belongs to the same conjugacy class as its inverse, that is, if there is a h in G with g h = g −1, where g h is defined as h −1 gh. An element of a group G is real if and only if for all representations of G the trace of the corresponding matrix is a real number.
In mathematics and computer science, graph theory is the study of graphs, which are mathematical structures used to model pairwise relations between objects. A graph in this context is made up of vertices (also called nodes or points) which are connected by edges (also called arcs, links or lines).
The canonical application of topological sorting is in scheduling a sequence of jobs or tasks based on their dependencies.The jobs are represented by vertices, and there is an edge from x to y if job x must be completed before job y can be started (for example, when washing clothes, the washing machine must finish before we put the clothes in the dryer).