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Kruskal's Algorithm

Finds the Minimum Spanning Tree (MST) of a weighted undirected graph. Uses a greedy approach by sorting edges by weight and adding them if they don't create a cycle. Employs Union-Find for efficient cycle detection. Essential for network design and clustering.

#graph#mst#greedy#union-find

Complexity Analysis

Time (Average)

O(E log E)

Expected case performance

Space

O(V)

Memory requirements

Time (Best)

O(E log E)

Best case performance

Time (Worst)

O(E log E)

Worst case performance

📚 CLRS Reference

Introduction to AlgorithmsChapter 23Section 23.2

Presets:
Step: 1 / 0
500ms
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Real-time Statistics

Algorithm Performance Metrics

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Algorithm Visualization

Step 1 of 0

Initialize array to begin

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Code Execution

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Implementation

Kruskal's Algorithm - Algorithm Vision