Web Reference: Mar 27, 2026 · Prim's algorithm is guaranteed to find the MST in a connected, weighted graph. It has a time complexity of O ( (E+V)*log (V)) using a binary heap or Fibonacci heap, where E is the number of edges and V is the number of vertices. In computer science, Prim's algorithm is a greedy algorithm that finds a minimum spanning tree for a weighted undirected graph. This means it finds a subset of the edges that forms a tree that includes every vertex, where the total weight of all the edges in the tree is minimized. Jun 30, 2025 · Thus all the edges we pick in Prim's algorithm have the same weights as the edges of any minimum spanning tree, which means that Prim's algorithm really generates a minimum spanning tree. The complexity of the algorithm depends on how we search for the next minimal edge among the appropriate edges.
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