computer science, the longest increasing subsequence problem aims to find a subsequence of a given sequence in which the subsequence's elements are sorted...

variant of the algorithm efficiently computes the length of a longest increasing subsequence in a given array. The algorithm's name derives from a simplified...

A longest common subsequence (LCS) is the longest subsequence common to all sequences in a set of sequences (often just two sequences). It differs from...

sequencePages displaying short descriptions of redirect targets Longest increasing subsequence problem – Computer science problemPages displaying short descriptions...

(r − 1)(s − 1) + 1 contains a monotonically increasing subsequence of length r or a monotonically decreasing subsequence of length s. The proof appeared in the...

probability, and computer science, in the longest alternating subsequence problem, one wants to find a subsequence of a given sequence in which the elements...

has applications to percolations and longest increasing subsequence. To study the longest increasing subsequence of a random permutation π {\displaystyle...

combinatorial and probabilistic problems, especially in the study of longest increasing subsequence of a random permutation σ {\displaystyle \sigma } . As a result...

probability, and algorithm analysis; for example, the problem of longest increasing subsequences. A related formula gives the number of semi-standard Young...

server, provides location information Longest increasing subsequence, algorithm to find the longest increasing subsequence in an array of numbers Laser Isotope...

makes a statement about the distribution of the length of the longest increasing subsequence in the limit. The theorem was influential in probability theory...

problem has an optimal substructure. Longest common subsequence problem Longest increasing subsequence Longest palindromic substring All-Pairs Shortest...

permutations of six elements, exactly 238 of them have a unique longest increasing subsequence. There are 238 compact and paracompact hyperbolic groups of...

extended these results to determine the distribution of the longest increasing subsequence of a random permutation in terms of the Tracy–Widom distribution...

system. It also appears in the distribution of the length of the longest increasing subsequence of random permutations, as large-scale statistics in the Kardar-Parisi-Zhang...

[clarification needed] Some specialized file comparison tools find the longest increasing subsequence between two files. The rsync protocol uses a rolling hash function...

Samplesort Longest common subsequence problem: Find the longest subsequence common to all sequences in a set of sequences Longest increasing subsequence problem:...

length of the longest increasing subsequence of σ1, ..., σn is equal to the length of the first row of P (and of Q). The length of the longest decreasing...

operation given by Craige Schensted (1961) in his study of the longest increasing subsequence of a permutation. It was named the "monoïde plaxique" by Lascoux...

representations of infinite symmetric groups and applications to the longest increasing subsequences. Vershik studied at Leningrad State University (later renamed...

& Johansson (1999) on the distribution of the length of the longest increasing subsequence of a random permutation. Together with the study of B above...

algorithm, also known as Hunt–McIlroy algorithm, is a solution to the longest common subsequence problem. It was one of the first non-heuristic algorithms used...

Increasing Subsequences - Book Review". MAA Reviews. Retrieved September 23, 2023. "The Surprising Mathematics of Longest Increasing Subsequences - Book Review"...

it is extremely fast and demonstrates great asymptotic behavior as n increases. It also can be modified to provide stable behavior. Bucket sort is a...

counting the number of inversions in a stream and finding the longest increasing subsequence.[citation needed] The performance of an algorithm that operates...

Young diagrams) plays an important role in the study of the longest increasing subsequence of a random permutation. The point process corresponding to...

in balanced binary search trees Exponentiation by squaring Longest increasing subsequence Binary logarithms also occur in the exponents of the time bounds...

problem. The longest palindromic substring problem should not be confused with the different problem of finding the longest palindromic subsequence. This algorithm...

become a superpattern. Arratia (1999) observes that, because the longest increasing subsequence of a random permutation has length (with high probability) approximately...

Johansson, Kurt (1999). "On the distribution of the length of the longest increasing subsequence of random permutations". Journal of the American Mathematical...