a) Find a minimum spanning tree using Prim’s algorithm. Use A as the start point and if there are choices, use alphabetic order. b) Find a minimum spanning tree using Kruskal algorithm. Use A as the start point and if there are choices, use alphabetic order.
1) For the following graph(see image)
a) Find a minimum spanning tree using Prim’s
there are choices, use alphabetic order.
b) Find a minimum spanning tree using Kruskal algorithm. Use A as the start point and if
there are choices, use alphabetic order.
One of the non-linear data structures that contain a number of nodes and edges connecting the nodes is known as a Graph. From a graph, a spanning tree with some weights can be generated if all the nodes in the graph are connected without forming a cycle, and the number of edges connecting the nodes should be n-1 where n is the number of nodes. A graph can contain one or more spanning trees. If a spanning tree has minimum cost by adding all the edge weights, then such a spanning tree is known as a minimum cost spanning tree. To achieve a minimum spanning tree from a graph, there are several different algorithms used. The most popular algorithms are as follows:
- Prim’s Algorithm: This algorithm obtains a minimum spanning tree by adding the edge that has the smallest weight. It starts with the root node.
- Kruskal’s Algorithm: This algorithm generates a minimum spanning tree by adding the edges whose weight is increasing and skipping the edges that will form a cycle by adding to the tree.
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