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Prim's algorithm can be used in network designing.

The applications of prim's algorithm are.

Repeat step 2 until the minimum spanning tree is formed.

From the edges found, select the minimum edge and add it to the tree.

Now, we have to find all the edges that connect the tree in the above step with the new vertices.

First, we have to initialize an MST with the randomly chosen vertex.

The steps to implement the prim's algorithm are given as follows. Prim's algorithm is a greedy algorithm that starts from one vertex and continue to add the edges with the smallest weight until the goal is reached. The edges with the minimal weights causing no cycles in the graph got selected. Prim's algorithm starts with the single node and explores all the adjacent nodes with all the connecting edges at every step. Prim's algorithm finds the subset of edges that includes every vertex of the graph such that the sum of the weights of the edges can be minimized. Prim's Algorithm is a greedy algorithm that is used to find the minimum spanning tree from a graph. The weight of the spanning tree is the sum of the weights given to the edges of the spanning tree. Minimum Spanning tree - Minimum spanning tree can be defined as the spanning tree in which the sum of the weights of the edge is minimum.

Spanning tree - A spanning tree is the subgraph of an undirected connected graph. Along with the algorithm, we will also see the complexity, working, example, and implementation of prim's algorithm.īefore starting the main topic, we should discuss the basic and important terms such as spanning tree and minimum spanning tree. In this article, we will discuss the prim's algorithm.