In computer science, partial sorting is a relaxed variant of the sorting problem. Total sorting is the problem of returning a list of items such that its elements all appear in order, while partial sorting is returning a list of the k smallest (or k largest) elements in order. The other elements (above the k smallest ones) may also be sorted, as in an in-place partial sort, or may be discarded, which is common in streaming partial sorts. A common practical example of partial sorting is computing the "Top 100" of some list.
In terms of indices, in a partially sorted list, for every index i from 1 to k, the i-th element is in the same place as it would be in the fully sorted list: element i of the partially sorted list contains order statistic i of the input list.
In computer science, partialsorting is a relaxed variant of the sorting problem. Total sorting is the problem of returning a list of items such that its...
sorted lists. Sorting is also often useful for canonicalizing data and for producing human-readable output. Formally, the output of any sorting algorithm...
linear time. Topological sorting has many applications, especially in ranking problems such as feedback arc set. Topological sorting is possible even when...
Insertion sort is a simple sorting algorithm that builds the final sorted array (or list) one item at a time by comparisons. It is much less efficient...
computer science, merge sort (also commonly spelled as mergesort) is an efficient, general-purpose, and comparison-based sorting algorithm. Most implementations...
1961. It is still a commonly used algorithm for sorting. Overall, it is slightly faster than merge sort and heapsort for randomized data, particularly...
different sorting algorithm, or by recursively applying the bucket sorting algorithm. It is a distribution sort, a generalization of pigeonhole sort that allows...
are to be sorted, although it can slow down sorting significantly. For example, Microsoft Windows does this when sorting file names. Sorting decimals properly...
order theory, a partial order on a set is an arrangement such that, for certain pairs of elements, one precedes the other. The word partial is used to indicate...
In combinatorial mathematics, a partial permutation, or sequence without repetition, on a finite set S is a bijection between two specified subsets of...
hydrocyclone, or via wet float-sink method. These approaches provide partialsorting, as some polymers have similar density. Polypropylene (PP) and polyethylene...
obtained after sorting can be used for a variety of applications including research, diagnosis, and therapy. Methods of cell sorting fall into two major...
9999. This date ordering makes computerized sorting of dates easier by avoiding the need for a separate sorting algorithm. The monoid of words over an alphabet...
Section 22.4, Topological sort, pp. 549–552. Jungnickel (2012), pp. 50–51. For depth-first search based topological sorting algorithm, this validity check...
sub-lists (runs), primarily used for external sorting, and is more efficient than an ordinary merge sort when there are fewer than eight external working...
This is a partial list of notable puzzle video games, sorted by general category. Tile-matching video games are a type of puzzle video game where the player...
operates on the elements of a sequence. Algorithms like sort, partial_sort, nth_element and all sorted containers use a binary predicate that must provide...
owls". Five species on the list are extinct; they are marked (X). For a partial list with additional information, see the article "List of Strigiformes...
In mathematics and physics, a nonlinear partial differential equation is a partial differential equation with nonlinear terms. They describe many different...
verifying row echelon form. Pivoting might be thought of as swapping or sorting rows or columns in a matrix, and thus it can be represented as multiplication...
to a nonscientific approach to a single person's opinion. Lists of this sort still appear in mainstream media, such as Billboard magazine's "Top 30 Breakup...
Spike sorting is an important procedure because extracellular recording techniques often pick up signals from more than one neuron. In spike sorting, one...
number, ordered by year of discovery. The column headings may be clicked to sort the table alphabetically, by decimal value, or by set. Explanations of the...