Expected linear time MST algorithm

Expected linear time MST algorithm

The expected linear time MST algorithm is a randomized algorithm for computing the minimum spanning forest of a weighted graph with no isolated vertices. It was developed by David Karger, Philip Klein, and Robert Tarjan. The algorithm relies on techniques from Borůvka's algorithm along with an algorithm for verifying a minimum spanning tree in linear time. It combines the design paradigms of divide and conquer algorithms, greedy algorithms, and randomized algorithms to achieve expected linear performance.

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enThe expected linear time MST algorithm is a randomized algorithm for computing the minimum spanning forest of a weighted graph with no isolated vertices. It was developed by David Karger, Philip Klein, and Robert Tarjan. The algorithm relies on techniques from Borůvka's algorithm along with an algorithm for verifying a minimum spanning tree in linear time. It combines the design paradigms of divide and conquer algorithms, greedy algorithms, and randomized algorithms to achieve expected linear performance.
Depiction
Boruvka Step 1.svg
Boruvka Step 2.svg
Boruvka Step 3.svg
Boruvka Step 4.svg
Boruvka Step 5.svg
Linear MST Algorithm Left Subchildren.svg
Has abstract
enThe expected linear time MST algorithm is a randomized algorithm for computing the minimum spanning forest of a weighted graph with no isolated vertices. It was developed by David Karger, Philip Klein, and Robert Tarjan. The algorithm relies on techniques from Borůvka's algorithm along with an algorithm for verifying a minimum spanning tree in linear time. It combines the design paradigms of divide and conquer algorithms, greedy algorithms, and randomized algorithms to achieve expected linear performance. Deterministic algorithms that find the minimum spanning tree include Prim's algorithm, Kruskal's algorithm, reverse-delete algorithm, and Borůvka's algorithm.
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Expected linear time MST algorithm
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enExpected linear time MST algorithm
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www.cs.technion.ac.il/~idddo/mstverif.pdf
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Binary tree
Borůvka's algorithm
Category:Randomized algorithms
Category:Spanning tree
David Karger
Divide and conquer algorithms
Expected value
File:Boruvka Step 1.svg
File:Boruvka Step 2.svg
File:Boruvka Step 3.svg
File:Boruvka Step 4.svg
File:Boruvka Step 5.svg
File:Linear MST Algorithm Left Subchildren.svg
Geometric series
Glossary of graph theory
Graph (discrete mathematics)
Greedy algorithms
Isolated vertex
Kruskal's algorithm
Linearity of expectation
Linear time
Minimum spanning forest
Minimum spanning tree
Negative binomial distribution
Prim's algorithm
Randomized algorithm
Randomized algorithms
Recursion (computer science)
Reverse-delete algorithm
Robert Tarjan
Weighted graph
SameAs
4k3j1
Expected linear time MST algorithm
m.0j9ngld
Q5420845
الگوریتم میانگین–خطی درخت پوشای کمینه
Subject
Category:Randomized algorithms
Category:Spanning tree
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Boruvka Step 1.svg?width=300
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