⚡ Graph Algorithms

Minimum Spanning Tree (Kruskal's)

Finds the subset of edges connecting all vertices with minimum total weight. It sorts all edges by weight, then uses Union-Find to grow the tree without cycles.

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Total Nodes
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Total Edges
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Total MST Weight
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Accepted Edges
KRUSKAL'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 Kruskal's.

🛠️ Presets

🎨 Legend

Node added to MST
Active / Checking edge
Unvisited Node

⚡ Time Complexity

Kruskal's time complexity is O(E log E) or O(E log V) due to sorting the edges.