Spanning tree | Randomized algorithms

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. Deterministic algorithms that find the minimum spanning tree include Prim's algorithm, Kruskal's algorithm, reverse-delete algorithm, and Borůvka's algorithm. (Wikipedia).

Expected linear time MST algorithm
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Related pages

Negative binomial distribution | Reverse-delete algorithm | Borůvka's algorithm | Graph (discrete mathematics) | Expected value | Randomized algorithm | Geometric series | Recursion (computer science) | Minimum spanning tree | Prim's algorithm | Glossary of graph theory | Binary tree | Kruskal's algorithm