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Adjacency matrix

Adjacency matrix ek graph representation ka method hai jisme aap graph ko ek 2D table (matrix) ki…

Overview

Adjacency matrix — Quick Facts

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Field: Value

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Type: Graph representation

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Data model: 2D matrix / grid

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Best for: Dense graphs

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Infobox

📚 | Field | Value | |---|---| | Type | Graph representation | | Data model | 2D matrix /…

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Overview

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Rows = “from” vertices

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Columns = “to” vertices

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Cell value = connected hai ya nahi

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1 = edge exists

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Real-life intuition (Excel grid / seating chart)

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Left side (rows) pe students ke…

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Top side (columns) pe same students

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Agar two students ek hi team me…

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Core idea: rows/columns represent vertices

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Row A, Column C ka cell: “A se C…

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Undirected graph: matrix generally…

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Directed graph: symmetric hona…

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(A,A) type cells self-loop…

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How it works (high-level)

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Unweighted: matrix[u][v] = 1

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Weighted: matrix[u][v] = weight

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Complexity (beginner summary)

✨ High-level behavior (implementation details vary): | Operation | Typical behavior…

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Adjacency matrix vs adjacency list

🌟 | Aspect | Adjacency matrix | Adjacency list | |---|---|---| | Best for | Dense graphs |…

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Common use-cases

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Dense graphs jaha almost har node…

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Teaching / visualization (matrix…

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Problems jaha “edge exists?”…

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Small graphs jaha memory overhead…

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Common mistakes

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Vertex indexing mismatch…

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Directed graph ko undirected…

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Weighted graph me “0 means no…

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Large V ke saath matrix choose kar…

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Performance considerations

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Memory growth $V^2$ hota hai;…

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Neighbor iteration ke liye full…

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Cache locality: matrix contiguous…

Comparison

Adjacency matrix vs adjacency list

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Best for: Dense graphs

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Memory: Usually higher ($V^2$)

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Edge existence check: Often fast

Diagram

Visual Flow

📊 Diagram visualization — details in narration

Quiz — Question 1

Adjacency matrix ka sabse sahi definition kya hai?

Quick Quiz

Quiz — Question 2

Adjacency matrix ka 'Type' kya hai?

Complete! 🎉

Adjacency matrix Complete!

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