science, a nearly-sorted sequence, also known as roughly-sorted sequence and as k {\displaystyle k} -sorted sequence is a sequence which is almost ordered...

considered sorted). Repeatedly merge sublists to produce new sorted sublists until there is only one sublist remaining. This will be the sorted list. Example...

typical GPU. A sorted sequence is a monotonically non-decreasing (or non-increasing) sequence. A bitonic sequence is a sequence with x 0 ≤ ⋯ ≤ x k ≥ ⋯ ≥ x n...

tournament system instead of a sorting algorithm. Collation – Assembly of written information into a standard order K-sorted sequence Schwartzian transform –...

Spaghetti sort is a linear-time, analog algorithm for sorting a sequence of items, introduced by A. K. Dewdney in his Scientific American column. This...

already sorted or partially sorted), insertion sort is distinctly more efficient compared to selection sort. On average (assuming the rank of the (k + 1)-st...

element produces a sorted list. Such a list is said to be h-sorted. It can also be thought of as h interleaved lists, each individually sorted. Beginning with...

computer science, k-way merge algorithms or multiway merges are a specific type of sequence merge algorithms that specialize in taking in k sorted lists and merging...

Bucket sort, or bin sort, is a sorting algorithm that works by distributing the elements of an array into a number of buckets. Each bucket is then sorted individually...

z ) = ∑ k = 0 ∞ F k z k − ∑ k = 0 ∞ F k z k + 1 − ∑ k = 0 ∞ F k z k + 2 = ∑ k = 0 ∞ F k z k − ∑ k = 1 ∞ F k − 1 z k − ∑ k = 2 ∞ F k − 2 z k = 0 z 0 +...

application, a topological ordering is just a valid sequence for the tasks. Precisely, a topological sort is a graph traversal in which each node v is visited...

maximum value is at most k. In some descriptions of counting sort, the input to be sorted is assumed to be more simply a sequence of integers itself, but...

Another method is for numbers to be sorted alphabetically as they would be spelled: for example 1776 would be sorted as if spelled out "seventeen seventy-six"...

already close to sorted, according to some measure of sortedness, the number of comparisons required to sort it can be smaller. An adaptive sort takes advantage...

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...

sorted are. Integer sorting algorithms including pigeonhole sort, counting sort, and radix sort are widely used and practical. Other integer sorting algorithms...

representations. A sequence like [b, c, e, d, f, g, ba] would be sorted as [b, ba, c, d, e, f, g]. If lexicographic ordering is used to sort variable-length...

already sorted, so only the less-than and greater-than partitions need to be recursively sorted. In pseudocode, the quicksort algorithm becomes: // Sorts a...

already sorted, but the algorithm does not know if it is completed. The algorithm needs one additional whole pass without any swap to know it is sorted. Third...

In combinatorial mathematics, a de Bruijn sequence of order n on a size-k alphabet A is a cyclic sequence in which every possible length-n string on A...

sort algorithms that perform efficiently on nearly-sorted inputs, and as the basis for pattern matching algorithms. A Cartesian tree for a sequence can...

almost sorted sequences yields a 24-sorter". Information Processing Letters. 118: 17–20. doi:10.1016/j.ipl.2016.08.005. Dobbelaere, Bert. "SorterHunter"...

a k-regular sequence is a sequence satisfying linear recurrence equations that reflect the base-k representations of the integers. The class of k-regular...

elements of some prefix of the sequence. Now, the number of comparisons is irrelevant. The minimum number of flips required to sort any stack of n pancakes has...

in sorted order. Sorting is done based on one or more sort keys extracted from each line of input. By default, the entire input is taken as sort key...

nearly sorted inputs. However, it does not handle all nearly sorted sequences optimally. Using the count of inversions as a measure of un-sortedness (the...

term of a sequence of numbers is equal to some combination of the previous terms. Often, only k {\displaystyle k} previous terms of the sequence appear in...

patience sorting game. When the game is over, recover the sorted sequence by repeatedly picking off the minimum visible card; in other words, perform a k-way...

In mathematics, a low-discrepancy sequence is a sequence with the property that for all values of N, its subsequence x1, ..., xN has a low discrepancy...

factor sorted := false loop while sorted = false // Update the gap value for a next comb gap := floor(gap / shrink) if gap ≤ 1 then gap := 1 sorted := true...