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Copyright (c) A|iens. All rights reserved.

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Overview
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Copyright (c) A|iens. All rights reserved. — Quick Facts

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Property: Detail

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Category: Graph Algorithm / Greedy Algorithm

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Problem Solved: Minimum Spanning Tree (MST)

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Input: Weighted, undirected, connected…

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Infobox

📚 | Property | Detail | |---|---| | Category | Graph Algorithm / Greedy Algorithm | |…
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Itihaas (History)

💡 Timeline | Saal | Event | Significance | |---|---|---| | 1926 | Borůvka's algorithm…
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Core Concept

🎯 Spanning Tree Kya Hai? | Term | Definition | |---|---| | Graph | Vertices (nodes) aur…
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Algorithm Steps

⭐ Step-by-Step Procedure | Step | Action | Detail | |---|---|---| | 1 | Saari edges list…
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Union-Find (Disjoint Set Union — DSU)

🔑 Overview Union-Find (ya DSU) Kruskal's algorithm ka backbone hai. Yeh data structure…
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Worked Example

✨ Graph Consider ek graph with 6 vertices (A, B, C, D, E, F) aur 9 edges: | Edge | Weight |…
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Time Complexity Analysis

🌟 | Operation | Complexity | Notes | |---|---|---| | Edge sorting | O(E log E) | Dominant…
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Kruskal vs Prim Comparison

🚀 | Aspect | Kruskal's Algorithm | Prim's Algorithm | |---|---|---| | Approach |…
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Mermaid Diagram: Kruskal's Algorithm Flow

📚 `mermaid flowchart TD A["Start:<br/>Input Graph G(V, E)"] --> B["Sort all edges<br/>by…
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Real-World Applications

💡 | Application | How Kruskal Helps | |---|---| | Network Design | Minimum cost cabling —…
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MST Algorithm Comparison Table

🎯 | Feature | Kruskal | Prim | Borůvka | |---|---|---|---| | Year | 1956 | 1957 (Jarník…
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Edge Cases aur Limitations

⭐ | Edge Case | Behavior | |---|---| | Single vertex | MST = empty (0 edges needed) | |…
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Interview Tips

🔑 | Tip | Detail | |---|---| | Union-Find implement karo | Interview me DSU likana aana…
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Correctness Proof (Brief)

✨ | Proof Approach | Logic | |---|---| | Cut Property | Kisi bhi cut (graph ko 2 parts me…
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Variants aur Extensions

🌟 | Variant | Description | |---|---| | Maximum Spanning Tree | Edges descending sort karo…
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Best Practices

🚀 Kruskal's Algorithm Best Practices 1. Union-Find with path compression + union by rank…
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Glossary

📚 | Term | Meaning | |---|---| | MST | Minimum Spanning Tree — minimum weight tree…
Comparison
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Kruskal vs Prim Comparison

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Approach: Edge-centric (sort edges,…

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Data Structure: Union-Find (DSU)

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Time Complexity: O(E log E)

Comparison
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MST Algorithm Comparison Table

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Year: 1956

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Approach: Edge sort + DSU

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Best For: Sparse graphs

Diagram
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Visual Flow

📊 Diagram visualization — details in narration
Related Topics

See Also

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Prim's algorithm

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Graph

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Minimum spanning tree

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Greedy algorithm

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Union-Find

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Dijkstra's algorithm

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Quiz — Question 1

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Quiz — Question 2

Copyright (c) A|iens. All rights reserved. ka 'Category' kya hai?

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Prim's algorithm

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