Kruskal's algorithm

This is essentially the same as Kruskal's algorithm for minimum spanning trees.

Kruskal's algorithm for finding the minimum spanning tree in a graph.

It is also used for implementing Kruskal's algorithm to find the minimum spanning tree of a graph.

Kruskal's algorithm is an example of a greedy algorithm.

This algorithm is a randomized version of Kruskal's algorithm.

As in Kruskal's algorithm, tracking components of T can be done efficiently using a disjoint-set data structure.

Other algorithms for this problem include Prim's algorithm and Kruskal's algorithm.

It first appeared in , but it should not be confused with Kruskal's algorithm which appears in the same paper.

There are now two algorithms commonly used, Prim's algorithm and Kruskal's algorithm.

Kruskal's algorithm is a greedy algorithm to find a minimum spanning tree in a weighted, undirected graph.

The other algorithm is called Kruskal's algorithm, and was pulbished by Joseph Kruskal in 1956.

Animation of Kruskal's algorithm (Requires Java plugin)

Two commonly used algorithms for the classical minimum spanning tree problem are Prim's algorithm and Kruskal's algorithm.

Both Prim's algorithm and Kruskal's algorithm require processing one node or vertex at a time, making it difficult to make them run in parallel.

In computer science, his best known work is Kruskal's algorithm for computing the minimal spanning tree (MST) of a weighted graph.

Both Prim's algorithm and Kruskal's algorithm require processes to know the state of the whole graph, which is very difficult to discover in the message-passing model.

For example, a minimum spanning tree of a weighted graph may be obtained using Kruskal's algorithm, which is a greedy algorithm for the cycle matroid.

Examples include Dijkstra's algorithm, Kruskal's algorithm, the nearest neighbour algorithm, and Prim's algorithm.

Kruskal's algorithm starts with an empty graph and adds edges while the Reverse-Delete algorithm starts with the original graph and deletes edges from it.

Deterministic algorithms that find the minimum spanning tree include Prim's algorithm, Kruskal's algorithm, Reverse-Delete algorithm, and Borůvka's algorithm.

(For example, Kruskal's algorithm processes edges in turn, deciding whether to include the edge in the MST based on whether it would form a cycle with all previously chosen edges.)

Since there are O(n) edges, this requires O(n log n) time using any of the standard minimum spanning tree algorithms such as Borůvka's algorithm, Prim's algorithm, or Kruskal's algorithm.

His two brothers, both eminent mathematicians, were Joseph Kruskal (1928-2010; discoverer of multidimensional scaling, the Kruskal tree theorem, and Kruskal's algorithm) and William Kruskal (1919-2005; discoverer of the Kruskal-Wallis test).

Examples of such greedy algorithms are Kruskal's algorithm and Prim's algorithm for finding minimum spanning trees, Dijkstra's algorithm for finding single-source shortest paths, and the algorithm for finding optimum Huffman trees.

Where E is the number of edges in the graph and V is the number of vertices, Kruskal's algorithm can be shown to run in O(E log E) time, or equivalently, O(E log V) time, all with simple data structures.