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LCP array: History, Applications & Science

In computer science, the longest common prefix array (LCP array) is an auxiliary data structure to the suffix array. It stores the lengths of the longest common prefixes (LCPs) between all pairs of consecutive suffixes in a sorted suffix array.

Language: English [EN]
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LCP array topic overview

The analysis highlights History, Applications and Science as prominent areas in the source structure around LCP array.

Related topics
17
Source areas
5
Connected nodes
22
Extracted relationships
174
Concept neighborhoods
14
Bridge connections
22

What this topic covers Research coverage

Source areas are shown by the number of related topics found in each part of the analysis. Use smaller areas too: they can reveal specialized angles and content gaps.

Overview · 7 topics
Applications · 5 topics
History · 3 topics
Definition · 1 topics
Efficient construction algorithms · 1 topics

Smaller areas are not necessarily less important. They contain fewer connections in this analysis and can be useful for finding specialized angles or coverage gaps.

Key facts & relationships

High-confidence facts extracted from structured source data. Use them as anchors for further research.

Construction
O ( n ) {\displaystyle {\mathcal {O}}(n)}
Invented by
Manber & Myers (1993)
Space
O ( n ) {\displaystyle {\mathcal {O}}(n)}
Type
Array

Explore all related topics Closing gaps

Browse the complete topic structure, not only the most central items. Less prominent entities and concepts can reveal missing angles, specialized context and useful research gaps. Each item opens a new analysis centered on that subject.

Overview

History

Definition

Efficient construction algorithms

Applications

Advanced semantic analysis

Deeper signals for content research, entity SEO and topical coverage. The plain-language headings explain what each technical view is useful for.

How LCP array connects Entity context

The extracted context around LCP array shows recurring relationship patterns in the source. For example, LCP array → Abouelhoda, ALENEX, Algorithm Engineering, Algorithm Theory, Algorithms, Almost Pure Induced-Sorting, Andrew, Annual Symposium, Arikawa, Arimura, Automata, Chan, Chen, Cite, CiteSeerX, Combinatorial Pattern Matching, Combinatorics, Compressed Suffix Trees, Computation, Computer Science Another extracted example is LCP array → Bottom-up, Burrows, Fischer, Java, LCP, Mirror, Provides, Range Minimum Query, RMQ, SDSL, Succinct Data Structure Library, Text-Indexing, Wheeler Transform. Use these groups to spot repeated connection types before inspecting the individual relationships.

LCP array

Top relations

related to References · 126
LCP array → Abouelhoda, ALENEX, Algorithm Engineering, Algorithm Theory, Algorithms, Almost Pure Induced-Sorting, Andrew, Annual Symposium, Arikawa, Arimura, Automata, Chan, Chen, Cite, CiteSeerX, Combinatorial Pattern Matching, Combinatorics, Compressed Suffix Trees, Computation, Computer Science
related to External links · 13
LCP array → Bottom-up, Burrows, Fischer, Java, LCP, Mirror, Provides, Range Minimum Query, RMQ, SDSL, Succinct Data Structure Library, Text-Indexing, Wheeler Transform
related to Efficient construction algorithms · 7
LCP array → FLAAP, Kasai, Kärkkäinen, LCP, Manber, Myers, Sanders
related to LCP queries for arbitrary suffixes · 6
LCP array → Because, However, Leftrightarrow, The LCP, Therefore, This
related to Suffix tree construction · 6
LCP array → Further, Given, LCP, Let, ST, Start
related to Find the number of occurrences of a pattern · 5
LCP array → In, LCP, LCP-LR, Now, We
related to Definition · 4
LCP array → LCP, Let, Then, Thus
related to history · 3
LCP array → Gene Myers, The LCP, Udi Manber
Construction · 1
LCP array → O ( n ) {\displaystyle {\mathcal {O}}(n)}
Invented by · 1
LCP array → Manber & Myers (1993)

Important terminology

Use these terms to understand the vocabulary surrounding the topic, not as a checklist for keyword stuffing.

Important terminology

displaystyle suffix array lcp common prefix longest time doi 10 tree length algorithm suffixes string m' lexicographically isbn using characters

LCP array relationships Subject–Predicate–Object triples

TTTA extracted 174 structured relationships around LCP array. Examples in this analysis include LCP array → Construction → O ( n ) {\displaystyle {\mathcal {O}}(n)} and LCP array → Invented by → Manber & Myers (1993). The table shows each extracted connection, where it came from and its confidence.

SubjectPredicateObjectConfidenceSrc
LCP arrayConstructionO ( n ) {\displaystyle {\mathcal {O}}(n)}1.00infobox
LCP arrayInvented byManber & Myers (1993)1.00infobox
LCP arraySpaceO ( n ) {\displaystyle {\mathcal {O}}(n)}1.00infobox
LCP arrayTypeArray1.00infobox
LCP arrayrelated to DefinitionLet0.60section
LCP arrayrelated to DefinitionThus0.60section
LCP arrayrelated to DefinitionThen0.60section
LCP arrayrelated to DefinitionLCP0.60section
LCP arrayrelated to Efficient construction algorithmsLCP0.60section
LCP arrayrelated to Efficient construction algorithmsManber0.60section
LCP arrayrelated to Efficient construction algorithmsMyers0.60section
LCP arrayrelated to Efficient construction algorithmsKärkkäinen0.60section

Related concept clusters Concept neighborhoods

The concept neighborhoods around LCP array bring nearby vocabulary together. In this analysis, examples include Lcp, Suffix and Displaystyle. Use the clusters to find adjacent concepts and terminology that may deserve separate research.

  • LCP array
    • Lcp
    • Suffix
    • Displaystyle
    • Time
    • Tree
    • Prefix
    • Algorithm
    • Length
    • Common
    • Two
    • Longest
    • Using
  • lcp array
    • Suffix
    • Lcp
    • Displaystyle
    • Time
    • Length
    • Tree
    • Suffixes
    • String
    • Algorithm
    • Prefix
    • Common
    • Two
  • array
    • Suffix
    • Lcp
    • Displaystyle
    • Time
    • Length
    • Tree
    • Suffixes
    • String
    • Algorithm
    • Common
    • Order
    • Longest
  • suffix array
    • Suffix
    • Lcp
    • Tree
    • Displaystyle
    • String
    • Time
    • Length
    • Suffixes
    • Algorithm
    • Common
    • Using
    • Order
  • suffix tree
    • St
    • Using
    • Tree
    • Displaystyle
    • String
    • Length
    • Suffixes
    • Time
    • Thus
    • Construction
    • Range
    • Algorithm
  • lowest common ancestor
    • Prefix
    • Longest
    • Suffixes
    • Length
    • Characters
    • Displaystyle
    • Suffix
    • Lcp
    • Array
    • M'
    • -1
    • Thus
  • search algorithm
    • Binary
    • Time
    • Log
    • Array
    • Lcp
    • String
    • Range
    • Displaystyle
    • Using
    • Suffix
    • Construction
    • Order
  • longest repeated substring problem
    • Prefix
    • Length
    • Suffixes
    • -1
    • Suffix
    • Displaystyle
    • Lcp
    • Thus
    • Path
    • Two
    • String
    • Time

Connections between topic areas Semantic bridges

For LCP array, one of the stronger structural bridges in this analysis connects LCP array with Overview. Bridges highlight paths between different parts of the map and can reveal research angles that are easy to miss in a flat list.

Min side: 3
LCP arrayOverview · splits 15 ⟂ 8
LCP arrayApplications · splits 17 ⟂ 6
LCP arrayHistory · splits 19 ⟂ 4

Map overview Semantic statistics

LCP array

Nodes23
Edges22
Triples174
Avg. degree1.91
Density0.086957
Components1

Source & methodology

TTTA analyzes the structure around LCP array to surface related topics, entities, relationships, concept neighborhoods and bridge connections. Use the map to explore areas such as History, Applications & Science, including less central topics that may reveal useful research gaps. Automatically extracted connections are research leads rather than rewritten encyclopedia content.

Source: Wikipedia — LCP array · EN edition · Analysis: TopicsToTalkAbout

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