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Partial sorting information


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.

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Partial sorting

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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...

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Sorting algorithm

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sorted lists. Sorting is also often useful for canonicalizing data and for producing human-readable output. Formally, the output of any sorting algorithm...

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Topological sorting

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linear time. Topological sorting has many applications, especially in ranking problems such as feedback arc set. Topological sorting is possible even when...

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Insertion sort

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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...

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Merge sort

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computer science, merge sort (also commonly spelled as mergesort) is an efficient, general-purpose, and comparison-based sorting algorithm. Most implementations...

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Quicksort

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1961. It is still a commonly used algorithm for sorting. Overall, it is slightly faster than merge sort and heapsort for randomized data, particularly...

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Bucket sort

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different sorting algorithm, or by recursively applying the bucket sorting algorithm. It is a distribution sort, a generalization of pigeonhole sort that allows...

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Collation

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are to be sorted, although it can slow down sorting significantly. For example, Microsoft Windows does this when sorting file names. Sorting decimals properly...

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Partially ordered set

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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...

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Partial permutation

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In combinatorial mathematics, a partial permutation, or sequence without repetition, on a finite set S is a bijection between two specified subsets of...

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Plastic recycling

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hydrocyclone, or via wet float-sink method. These approaches provide partial sorting, as some polymers have similar density. Polypropylene (PP) and polyethylene...

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Cell sorting

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obtained after sorting can be used for a variety of applications including research, diagnosis, and therapy. Methods of cell sorting fall into two major...

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Lexicographic order

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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...

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Directed acyclic graph

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Section 22.4, Topological sort, pp. 549–552. Jungnickel (2012), pp. 50–51. For depth-first search based topological sorting algorithm, this validity check...

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Polyphase merge sort

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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...

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List of puzzle video games

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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...

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Standard Template Library

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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...

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List of owl species

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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...

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Nonlinear partial differential equation

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In mathematics and physics, a nonlinear partial differential equation is a partial differential equation with nonlinear terms. They describe many different...

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Pivot element

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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...

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List

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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...

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Principal component analysis

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Spike sorting is an important procedure because extracellular recording techniques often pick up signals from more than one neuron. In spike sorting, one...

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Matrix calculus

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{\partial y_{1n}}{\partial x}}\\{\frac {\partial y_{21}}{\partial x}}&{\frac {\partial y_{22}}{\partial x}}&\cdots &{\frac {\partial y_{2n}}{\partial x}}\\\vdots...

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Glossary of mathematical symbols

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\textstyle \left({\frac {\partial }{\partial t}},{\frac {\partial }{\partial x}},{\frac {\partial }{\partial y}},{\frac {\partial }{\partial z}}\right)} . ◻ {\displaystyle...

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List of mathematical constants

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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...

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