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Kruskal's algorithm

Kruskal's algorithm finds a minimum spanning forest of an undirected edge-weighted graph. If the graph is connected, it finds a minimum spanning tree. It is a greedy algorithm that in each step adds to the forest the lowest-weight edge that will not form a cycle. The key steps of the algorithm are sorting and the use of a disjoint-set data structure to…

Complexity, Parallel algorithm & Overview

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Class
Minimum spanning tree algorithm
Data structure
Graph
Worst-case performance
O ( | E | log ⁡ | V | ) {\displaystyle O(|E|\log |V|)}

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Complexity

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Parallel algorithm

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Kruskal's algorithm

Nodes30
Edges29
Triples61
Avg. degree1.93
Density0.066667
Components1

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Kruskal's algorithm

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related to References · 26
Kruskal's algorithm → Algorithms, Charles, Clifford Stein, Cormen, Data Structures, Fourth Edition, Goodrich, Inc, Introduction, ISBN, Java, John Wiley, Kruskal, Leiserson, McGraw-Hill, Michael, MIT Press, Prim, Rivest, Roberto Tamassia
related to Complexity · 11
Kruskal's algorithm → Ackermann, Creating, For, Kruskal's, Next, Once, The, These, This, To, V2
related to External links · 11
Kruskal's algorithm → Algorithm, Data, ExampleThe Implementation, Explanation, Gephi Plugin For Calculating, GraphComparative Performance Analysis, Kruskal, Kruskal’s Algorithm, Minimum Spanning Tree, Prim MST Algorithms, Python
related to Parallel algorithm · 7
Kruskal's algorithm → Ackermann, As, Filter-Kruskal, It, Kruskal's, Osipov, The
Class · 1
Kruskal's algorithm → Minimum spanning tree algorithm
Data structure · 1
Kruskal's algorithm → Graph
Worst-case performance · 1
Kruskal's algorithm → O ( | E | log ⁡ | V | ) {\displaystyle O(|E|\log |V|)}

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algorithm tree spanning minimum graph edges edge weight forest time kruskal's connected data cycle sorting structure set since algorithms displaystyle

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SubjectPredicateObjectConfidenceSrc
Kruskal's algorithmClassMinimum spanning tree algorithm1.00infobox
Kruskal's algorithmData structureGraph1.00infobox
Kruskal's algorithmWorst-case performanceO ( | E | log ⁡ | V | ) {\displaystyle O(|E|\log |V|)}1.00infobox
counting sort or radix sort to sort them in linear timeinstance ofor where they have small enough integer weight to allow integer sorting algorithms0.80text
the disjoint set operations are the slowest remaining part of the algorithminstance ofor where they have small enough integer weight to allow integer sorting algorithms0.80text
the total time is Oinstance ofor where they have small enough integer weight to allow integer sorting algorithms0.80text
Kruskal's algorithmrelated to ComplexityFor0.60section
Kruskal's algorithmrelated to ComplexityKruskal's0.60section
Kruskal's algorithmrelated to ComplexityThis0.60section
Kruskal's algorithmrelated to ComplexityV20.60section
Kruskal's algorithmrelated to ComplexityTo0.60section
Kruskal's algorithmrelated to ComplexityOnce0.60section

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