Giải thuật Kruskal (Kruskal''''''''s Algorithm)

This minimum spanning tree algorithm was first described by Kruskal in 1956 in the same paper where he rediscovered Jarniks algorithm. This algorithm was also rediscovered in 1957 by Loberman and Weinberger, but somehow avoided being renamed after them. The basic idea of the Kruskals algorithms is as follows: scan all edges in increasing weight order; if an edge is safe, keep it (i.e. add it to the set A).

Kruskal's Algorithm This minimum spanning tree algorithm was first described by Kruskal in 1956 in the same paper where he rediscovered Jarnik's algorithm. This algorithm was also rediscovered in 1957 by Loberman and Weinberger, but somehow avoided being renamed after them. The basic idea of the Kruskal's algorithms is as follows: scan all edges in increasing weight order; if an edge is safe, keep it (i.e. add it to the set A). Overall Strategy Kruskal's Algorithm, as described in CLRS, is directly based on the generic MST algorithm. It builds the MST in forest. Initially, each vertex is in its own tree in forest. Then, algorithm consider each edge in turn, order by increasing weight. If an edge (u, v) connects two different trees, then (u, v) is added to the set of edges of the MST, and two trees connected by an edge (u, v) are merged into a single tree on the other hand, if an edge (u, v) connects two vertices in the same tree, then edge (u, v) is discarded. A little more formally, given a connected, undirected, weighted graph with a function w : E → R.  Starts with each vertex being its own component. . Kruskal& apos;s Algorithm This minimum spanning tree algorithm was first described by Kruskal in 1956 in the same paper where he rediscovered. basic idea of the Kruskal& apos;s algorithms is as follows: scan all edges in increasing weight order; if an edge is safe, keep it (i.e. add it to the set A). Overall Strategy Kruskal& apos;s