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Disjoint-set data structure

In computer science, a disjoint-set data structure, also called a union–find data structure or merge–find set, is a data structure that stores a collection of disjoint (non-overlapping) sets. Equivalently, it stores a partition of a set into disjoint subsets. It provides operations for adding new sets, merging sets (replacing them with their union), and…

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Insert
O(1)
Invented
1964
Invented by
Bernard A. Galler and Michael J. Fischer
Operation
Average
Search
O(α(n)) (amortized)
Space
O(n)

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Time complexity

  • Lemma 1 Disjoint-set data structure

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Map overview Semantic statistics

Disjoint-set data structure

Nodes52
Edges51
Triples45
Avg. degree1.96
Density0.038462
Components1

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Disjoint-set data structure

Top relations

related to history · 17
Disjoint-set data structure → Ackermann, Bernard, Disjoint-set, Fischer, Fredman, Galil, Galler, Galler-Fischer, He, Hopcroft, In, Italiano, Michael, Omega, Robert Tarjan, Saks, Ullman
has application · 8
Disjoint-set data structure → Boost Graph Library, Disjoint-set, Find, Incremental Connected Components, It, Kruskal's, The Union, This
related to Representation · 8
Disjoint-set data structure → Each, Galler-Fischer, In, Root, The, This, To, Two
related to Operations · 4
Disjoint-set data structure → Disjoint-set, Finding, Making, Merging
Insert · 1
Disjoint-set data structure → O(1)
Invented · 1
Disjoint-set data structure → 1964
Invented by · 1
Disjoint-set data structure → Bernard A. Galler and Michael J. Fischer
Operation · 1
Disjoint-set data structure → Average
Search · 1
Disjoint-set data structure → O(α(n)) (amortized)
Space · 1
Disjoint-set data structure → O(n)

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Important terminology

time displaystyle node rank root disjoint-set union forest tree data set parent nodes operation operations log find number structure trees

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Disjoint-set data structureInsertO(1)1.00infobox
Disjoint-set data structureInvented19641.00infobox
Disjoint-set data structureInvented byBernard A. Galler and Michael J. Fischer1.00infobox
Disjoint-set data structureOperationAverage1.00infobox
Disjoint-set data structureSearchO(α(n)) (amortized)1.00infobox
Disjoint-set data structureSpaceO(n)1.00infobox
Disjoint-set data structureTime complexity in big O notationTime complexity in big O notationOperation Average Worst caseSearch O(α(n)) (amortized) O(α(n)) (amortized)Insert O(1) O(1)Space complexitySpace O(n) O(n)1.00infobox
Disjoint-set data structureTypemultiway tree1.00infobox
Disjoint-set data structurehas applicationDisjoint-set0.60section
Disjoint-set data structurehas applicationThis0.60section
Disjoint-set data structurehas applicationThe Union0.60section
Disjoint-set data structurehas applicationFind0.60section

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    Min side: 3
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