Wiki Article · Cinematic

Weighted Graph

Weighted graph ek special type ka graph hai jisme har edge (do nodes ke beech ki connection) ke…

Overview

Weighted Graph — Quick Facts

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Field: Detail

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Term: Weighted Graph (Edge-Weighted…

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Type: Graph Data Structure

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Core Property: Every edge has a numerical weight…

Topic 1

Infobox

📚 | Field | Detail | |---|---| | Term | Weighted Graph (Edge-Weighted Graph) | | Type |…

Topic 2

Overview

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Vertices (Nodes) —…

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Edges — Connections/relationships…

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Unweighted Graph me edge sirf…

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Weighted Graph me edge batata hai:…

Topic 3

Weighted vs Unweighted Graph

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Unweighted — Jab sirf connectivity…

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Weighted — Jab connections ki…

Topic 4

Types of Weighted Graphs

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Edges ki koi direction nahi — dono…

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Example: road network (Delhi to…

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Adjacency matrix symmetric hoti…

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Edges ki direction hai — A → B ka…

Topic 5

Graph Representation

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2D matrix: matrix[i][j] = weight…

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Agar edge nahi hai to 0, ∞…

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Space: O(V²) — V = number of…

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Best for: Dense graphs (bohot…

Topic 6

Key Algorithms

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Input: Weighted graph + source…

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Output: Shortest distance from…

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How: Greedy approach — hamesha…

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Constraint: Non-negative weights…

Topic 7

Real-World Applications

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Road network = weighted graph.

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Nodes = intersections/locations.

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Edges = roads. Weights = distance…

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Google Maps, Waze → Dijkstra's (ya…

Topic 8

Special Cases aur Edge Cases

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Kuch problems me edges ki weight…

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Dijkstra kaam nahi karta —…

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Negative weight cycle: Agar cycle…

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Bellman-Ford negative cycle detect…

Topic 9

Interview Context

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Shortest path — Dijkstra's…

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Negative weights — Bellman-Ford…

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MST — Kruskal's / Prim's implement…

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Detect negative cycle —…

Topic 10

Enterprise Context

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Aliens WebApps me routing,…

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Logistic app → delivery route…

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Network monitoring → topology…

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Recommendation engine → user-item…

Topic 11

Glossary

🎯 | # | Term | Definition | |---|---|---| | 1 | Weighted Graph | Graph jisme har edge ke…

Comparison

Weighted vs Unweighted Graph

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Edge Property: Sirf connection (yes/no)

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Implicit Weight: Sab edges equal…

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Information: "A aur B connected hain"

Diagram

Visual Flow

📊 Diagram visualization — details in narration

Quiz — Question 1

Weighted Graph ka sabse sahi definition kya hai?

Quick Quiz

Quiz — Question 2

Weighted Graph ka 'Term' kya hai?

Complete! 🎉

Weighted Graph Complete!

Aliens Wiki · HIEN · Cinematic Knowledge

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Weighted Graph Complete

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Weighted Graph

Weighted Graph — Quick Facts

Field: Detail

Term: Weighted Graph (Edge-Weighted…

Type: Graph Data Structure

Core Property: Every edge has a numerical weight…

Infobox

Overview

Vertices (Nodes) —…

Edges — Connections/relationships…

Unweighted Graph me edge sirf…

Weighted Graph me edge batata hai:…

Weighted vs Unweighted Graph

Unweighted — Jab sirf connectivity…

Weighted — Jab connections ki…

Types of Weighted Graphs

Edges ki koi direction nahi — dono…

Example: road network (Delhi to…

Adjacency matrix symmetric hoti…

Edges ki direction hai — A → B ka…

Graph Representation

2D matrix: matrix[i][j] = weight…

Agar edge nahi hai to 0, ∞…

Space: O(V²) — V = number of…

Best for: Dense graphs (bohot…

Key Algorithms

Input: Weighted graph + source…

Output: Shortest distance from…

How: Greedy approach — hamesha…

Constraint: Non-negative weights…

Real-World Applications

Road network = weighted graph.

Nodes = intersections/locations.

Edges = roads. Weights = distance…

Google Maps, Waze → Dijkstra's (ya…

Special Cases aur Edge Cases

Kuch problems me edges ki weight…

Dijkstra kaam nahi karta —…

Negative weight cycle: Agar cycle…

Bellman-Ford negative cycle detect…

Interview Context

Shortest path — Dijkstra's…

Negative weights — Bellman-Ford…

MST — Kruskal's / Prim's implement…

Detect negative cycle —…

Enterprise Context

Aliens WebApps me routing,…

Logistic app → delivery route…

Network monitoring → topology…

Recommendation engine → user-item…

Glossary

Weighted vs Unweighted Graph

Edge Property: Sirf connection (yes/no)

Implicit Weight: Sab edges equal…

Information: "A aur B connected hain"

Visual Flow

See Also

Graph

Data_Structure

Algorithm

Dijkstra

Tree

Shortest_Path

Quiz — Question 1

Quiz — Question 2

Weighted Graph Complete!

Weighted Graph Complete

Graph