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. Prim's algorithm finds the MST by first including a random vertex to the MST. The algorithm then finds the vertex with the lowest edge weight from the current MST, and includes that to the MST. Prim's algorithm keeps doing this until all nodes are included in the MST. Jun 13, 2025 · Get started with Prim's Algorithm and learn how to implement it to find the minimum spanning tree of a graph, with step-by-step examples and explanations.
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