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Borůvka's algorithm

Borůvka's algorithm is a greedy algorithm for finding a minimum spanning tree in a graph, or a minimum spanning forest in the case of a graph that is not connected.

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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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Pseudocode

Complexity

Other algorithms

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Map overview Semantic statistics

Borůvka's algorithm

Nodes26
Edges25
Triples26
Avg. degree1.92
Density0.076923
Components1

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Borůvka's algorithm

Top relations

related to Other algorithms · 12
Borůvka's algorithm → Ackermann, Bernard Chazelle, Borůvka's, Fast, Karger, Klein, Kruskal's, Other, Prim's, Tarjan, The, These
related to Pseudocode · 8
Borůvka's algorithm → Borůvka's, For, If, In, None, The, Then, This
related to Complexity · 2
Borůvka's algorithm → Borůvka's, In
Class · 1
Borůvka's algorithm → Minimum spanning tree algorithm
Data structure · 1
Borůvka's algorithm → Graph
Worst-case performance · 1
Borůvka's algorithm → O ( | E | log ⁡ | V | ) {\displaystyle O(|E|\log |V|)}
is a · 1
Borůvka's algorithm → greedy algorithm for finding a minimum spanning tree in a graph

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Important terminology

algorithm edges graph forest borůvka's spanning tree edge minimum finding time connected algorithms vertices number minimum-weight adding process tie-breaking rule

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Borůvka's algorithmClassMinimum spanning tree algorithm1.00infobox
Borůvka's algorithmData structureGraph1.00infobox
Borůvka's algorithmWorst-case performanceO ( | E | log ⁡ | V | ) {\displaystyle O(|E|\log |V|)}1.00infobox
Borůvka's algorithmis agreedy algorithm for finding a minimum spanning tree in a graph0.90text
Borůvka's algorithmrelated to ComplexityBorůvka's0.60section
Borůvka's algorithmrelated to ComplexityIn0.60section
Borůvka's algorithmrelated to Other algorithmsOther0.60section
Borůvka's algorithmrelated to Other algorithmsPrim's0.60section
Borůvka's algorithmrelated to Other algorithmsKruskal's0.60section
Borůvka's algorithmrelated to Other algorithmsFast0.60section
Borůvka's algorithmrelated to Other algorithmsBorůvka's0.60section
Borůvka's algorithmrelated to Other algorithmsKarger0.60section

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    Min side: 3
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