Prim’s Algorithm for finding the Minimum Spanning Tree of a graph is a kind of a
Question
Prim’s Algorithm for finding the Minimum Spanning Tree of a graph is a kind of a
Solution
Prim’s Algorithm for finding the Minimum Spanning Tree of a graph is a kind of a greedy algorithm.
Here are the steps for Prim’s Algorithm:
- Initialize a tree with a single vertex, chosen arbitrarily from the graph.
- Grow the tree by one edge: of the edges that connect the tree to vertices not yet in the tree, find the minimum-weight edge, and transfer it to the tree.
- Repeat step 2 (until all vertices are in the tree).
In each step, the algorithm makes the most cost-effective choice. It chooses the edge with the least weight to add to the spanning tree. This is why it is considered a greedy algorithm.
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