⚡ Graph Algorithms

Minimum Spanning Tree (Prim's)

Find the subset of edges connecting all vertices with minimum total weight, growing the MST one edge at a time from a starting node using a priority queue.

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Total Nodes
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0
Total Edges
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Total MST Weight
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Nodes in MST
PRIM'S MST GRAPH

💡 Editor Guide: Click empty space to add a node. Click and drag between nodes to connect them with a weighted undirected edge.

Execution Log

Click Load Example Map or design a graph, then run Prim's.

🛠️ Presets

🎨 Legend

Node in MST
Active / Processing node
Unvisited Node

⚡ Time Complexity

Prim's time complexity is O(E log V) using a binary heap priority queue.