Longest increasing subsequence

Known as: LIS, Longest nondecreasing subsequence, Nondecreasing subsequence 
In computer science, the longest increasing subsequence problem is to find a subsequence of a given sequence in which the subsequence's elements are… (More)
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Related topics

Related topics

18 relations
AlgorithmicsBinary logarithmClique (graph theory)Clique problem
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Broader (1)

Dynamic programming

Papers overview

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2018
2018
Longest Increasing Subsequence Under Persistent Comparison Errors
We study the problem of computing a longest increasing subsequence in a sequence S of n distinct elements in the presence of… (More)
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2009
2009
Minimum Height and Sequence Constrained Longest Increasing Subsequence
Given a string S = a1a2a3 · · · an, the longest increasing subsequence (LIS) problem is to find a subsequence of S such that the… (More)
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2009
2009
On the Longest Increasing Subsequence for Finite and Countable Alphabets
Let X1,X2, . . . ,Xn, . . . be a sequence of iid random variables with values in a finite alphabet {1, . . . ,m}. Let LIn be the… (More)
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2008
2008
Fast Algorithms for the Constrained Longest Increasing Subsequence Problems
Let 〈a1, a2, . . . , an〉 be a sequence of comparable elements. In this paper, we study two constrained versions of the longest… (More)
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2007
2007
On the longest increasing subsequence of a circular list
The longest increasing circular subsequence (LICS) of a list is considered. A Monte-Carlo algorithm to compute it is given which… (More)
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2000
2000
A mean identity for longest increasing subsequence problems
We show that a wide variety of generalized increasing subsequence problems admit a one parameter family of extensions for which… (More)
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Highly Cited
1999
Highly Cited
1999
1 6 O ct 1 99 8 ON THE DISTRIBUTION OF THE LENGTH OF THE LONGEST INCREASING SUBSEQUENCE OF RANDOM PERMUTATIONS
The authors consider the length, lN , of the length of the longest increasing subsequence of a random permutation of N numbers… (More)
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Highly Cited
1999
Highly Cited
1999
Longest increasing subsequences: from patience sorting to the Baik-Deift-Johansson theorem
We describe a simple one-person card game, patience sorting. Its analysis leads to a broad circle of ideas linking Young tableaux… (More)
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Highly Cited
1995
Highly Cited
1995
Hammersley's interacting particle process and longest increasing subsequences
In a famous paper 8] Hammersley investigated the length L n of the longest increasing subsequence of a random n-permutation… (More)
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Highly Cited
1975
Highly Cited
1975
On computing the length of longest increasing subsequences
We shall describe an algorithm which performs this task and which has a worst case running time of O(n log n). This bound is… (More)
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