Wiki Article · Cinematic

Graph

Graph ek non-linear data structure hai jo entities (nodes/vertices) aur unke beech ke relationships…

Overview

Graph — Quick Facts

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Property: Detail

🎯

Full Name: Graph (Data Structure)

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Category: Non-Linear Data Structure

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Origin: Leonhard Euler, 1736 (Königsberg…

Topic 1

Infobox

📚 | Property | Detail | |---|---| | Full Name | Graph (Data Structure) | | Category |…

Topic 2

Itihaas aur Background

💡 Graph theory ki shuruaat 1736 me hui jab Swiss mathematician Leonhard Euler ne Königsberg…

Topic 3

Basic Terminology

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Vertex (Node) — Graph ka ek…

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Edge (Link/Arc) — Do vertices ke…

⚡

Directed Edge — Edge ka direction…

🎯

Undirected Edge — Dono taraf jaata…

Topic 4

Graph Example

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Vertices: A, B, C, D, E, F (total…

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Edges: A-B, A-C, B-C, B-D, C-E,…

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Degree of B = 3 (connected to A,…

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Path A to F: A → B → D → F (ya A →…

Topic 5

Types of Graphs

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Undirected Graph — Edges ka…

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Directed Graph (Digraph) — Edges…

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Mixed Graph — Kuch edges directed,…

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Unweighted Graph — Sab edges equal…

Topic 6

Graph Representations

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2D array of size V × V

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matrix[i][j] = 1 agar edge i→j…

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Pros: Edge existence O(1) me…

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Cons: O(V²) space — sparse graphs…

Topic 7

Graph Traversal

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Level-by-level explore karta hai —…

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Queue use karta hai

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Use cases: Shortest path…

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Time: O(V + E), Space: O(V)

Topic 8

Common Graph Algorithms

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Dijkstra's Algorithm — Single…

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Bellman-Ford — Single source,…

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Floyd-Warshall — All pairs…

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A* Search — Heuristic-based…

Topic 9

Algorithm Complexity Comparison

📚 | Algorithm | Time Complexity | Space | Problem | |---|---|---|---| | BFS | O(V + E) |…

Topic 10

Real-World Applications

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Social Networks —…

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Maps aur Navigation — Google Maps:…

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Internet aur Web — Webpages =…

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Package Managers —…

Topic 11

Graph vs Tree

🎯 | Property | Graph | Tree | |---|---|---| | Cycles | Ho sakte hain | Nahi hote | | Root |…

Topic 12

Limitations aur Challenges

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Large graphs me memory bahut lagti…

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Dense graphs me adjacency matrix…

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Graph algorithms ki complexity…

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Distributed graph processing…

Comparison

Algorithm Complexity Comparison

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BFS: O(V + E)

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DFS: O(V + E)

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Dijkstra: O((V+E) log V)

Comparison

Graph vs Tree

⚖️

Cycles: Ho sakte hain

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Root: Koi root nahi

⚖️

Edges: Koi bhi count

Diagram

Visual Flow

📊 Diagram visualization — details in narration

Quiz — Question 1

Graph ka sabse sahi definition kya hai?

Quick Quiz

Quiz — Question 2

Graph ka 'Full Name' kya hai?

Complete! 🎉

Graph Complete!

Aliens Wiki · HIEN · Cinematic Knowledge

✅

Graph Complete

➡️

Graph

Graph — Quick Facts

Property: Detail

Full Name: Graph (Data Structure)

Category: Non-Linear Data Structure

Origin: Leonhard Euler, 1736 (Königsberg…

Infobox

Itihaas aur Background

Basic Terminology

Vertex (Node) — Graph ka ek…

Edge (Link/Arc) — Do vertices ke…

Directed Edge — Edge ka direction…

Undirected Edge — Dono taraf jaata…

Graph Example

Vertices: A, B, C, D, E, F (total…

Edges: A-B, A-C, B-C, B-D, C-E,…

Degree of B = 3 (connected to A,…

Path A to F: A → B → D → F (ya A →…

Types of Graphs

Undirected Graph — Edges ka…

Directed Graph (Digraph) — Edges…

Mixed Graph — Kuch edges directed,…

Unweighted Graph — Sab edges equal…

Graph Representations

2D array of size V × V

matrix[i][j] = 1 agar edge i→j…

Pros: Edge existence O(1) me…

Cons: O(V²) space — sparse graphs…

Graph Traversal

Level-by-level explore karta hai —…

Queue use karta hai

Use cases: Shortest path…

Time: O(V + E), Space: O(V)

Common Graph Algorithms

Dijkstra's Algorithm — Single…

Bellman-Ford — Single source,…

Floyd-Warshall — All pairs…

A* Search — Heuristic-based…

Algorithm Complexity Comparison

Real-World Applications

Social Networks —…

Maps aur Navigation — Google Maps:…

Internet aur Web — Webpages =…

Package Managers —…

Graph vs Tree

Limitations aur Challenges

Large graphs me memory bahut lagti…

Dense graphs me adjacency matrix…

Graph algorithms ki complexity…

Distributed graph processing…

Algorithm Complexity Comparison

BFS: O(V + E)

DFS: O(V + E)

Dijkstra: O((V+E) log V)

Graph vs Tree

Cycles: Ho sakte hain

Root: Koi root nahi

Edges: Koi bhi count

Visual Flow

See Also

Data Structure

Tree

Graph (Abstract Data Type)

Graph Database

Breadth First Search

Depth First Search

Quiz — Question 1

Quiz — Question 2

Graph Complete!

Graph Complete

Data Structure