Wiki Article · Cinematic

Minimum Spanning Tree

Minimum Spanning Tree (MST) ek graph theory ka fundamental concept hai. Agar tumhare paas ek…

Overview

Minimum Spanning Tree — Quick Facts

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Property: Detail

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Concept Name: Minimum Spanning Tree (MST)

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Category: Graph Theory / Algorithms / Data…

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Also Known As: Minimum Weight Spanning Tree

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Infobox

📚 | Property | Detail | |---|---| | Concept Name | Minimum Spanning Tree (MST) | | Category…

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History aur Origin

💡 Timeline | Year | Event | Significance | |---|---|---| | 1926 | Otakar Borůvka | Czech…

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Key Properties of MST

🎯 | Property | Description | |---|---| | Edge Count | MST me exactly V - 1 edges hoti hain…

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MST Example (Mermaid Diagram)

⭐ `mermaid graph TD A((A)) ---|2| B((B)) A ---|4| C((C)) B ---|1| C((C)) B ---|7| D((D)) C…

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Kruskal's Algorithm

🔑 Approach Greedy algorithm jo sab edges ko weight ke basis par sort karta hai, phir…

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Prim's Algorithm

✨ Approach Greedy algorithm jo ek starting vertex se begin karta hai aur har step me…

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Borůvka's Algorithm

🌟 Approach Component-based algorithm — har iteration me har component apni cheapest…

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Algorithm Comparison

🚀 | Aspect | Kruskal's | Prim's | Borůvka's | |---|---|---|---| | Approach | Edge-based…

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Real-World Applications

📚 | Application | How MST Helps | Example | |---|---|---| | Network Design | Minimum cost…

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MST Variants

💡 | Variant | Description | Use Case | |---|---|---| | Maximum Spanning Tree | Maximum…

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MST in Coding Interviews

🎯 Common Interview Problems | Problem | Approach | Difficulty | |---|---|---| | "Find MST…

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Challenges aur Limitations

⭐ | Challenge | Description | Mitigation | |---|---|---| | Directed Graphs | MST sirf…

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Best Practices

🔑 1. Problem pehle model karo — vertices kya hain, edges kya hain, weights kya represent…

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Glossary

✨ | Term | Meaning | |---|---| | Minimum Spanning Tree (MST) | Weighted undirected graph ka…

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Disclaimer

🌟 Yeh article informational purposes ke liye hai. Algorithm complexities theoretical…

Comparison

Algorithm Comparison

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Approach: Edge-based (sort all edges)

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Strategy: Global greedy (lightest edge…

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Time Complexity: O(E log E)

Diagram

Visual Flow

📊 Diagram visualization — details in narration

Quiz — Question 1

Minimum Spanning Tree ka sabse sahi definition kya hai?

Quick Quiz

Quiz — Question 2

Minimum Spanning Tree ka 'Concept Name' kya hai?

Complete! 🎉

Minimum Spanning Tree Complete!

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