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Graph (Abstract Data Type)

Graph (abstract data type) ek abstract data type hai jo vertices (nodes) ka collection aur unke…

Overview

Graph (Abstract Data Type) — Quick Facts

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Property: Detail

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Full Name: Graph Abstract Data Type

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Category: Abstract Data Type (ADT)

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Based On: Graph mathematical concept — G =…

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Infobox

📊 | Property | Detail | |---|---| | Full Name | Graph Abstract Data Type | | Category |…

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ADT kya hota hai

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Kaunsa data store hoga (logical…

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Kaunse operations available honge…

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Operations ka expected behavior…

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Data memory me kaise store hoga…

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Graph ADT Definition

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V — Vertices ka finite set

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E — Edges ka set, jahan har edge…

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Core Operations

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clear() — Sab vertices aur edges…

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isEmpty() — Graph empty hai?

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iterator() — Vertices ya edges pe…

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subgraph(vertices) — Subset of…

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ADT Interface Diagram

🔍 `mermaid flowchart TD subgraph "Graph ADT (Interface)" A[addVertex / removeVertex]…

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Directed vs Undirected Graph ADT

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addEdge(u, v) — Dono directions me…

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hasEdge(u, v) == hasEdge(v, u)…

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getNeighbors(u) me v aayega,…

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degree(v) = total connected edges

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Weighted Graph ADT

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addEdge(u, v, weight) — Edge ke…

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getEdgeWeight(u, v) — Edge ka…

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setEdgeWeight(u, v, newWeight) —…

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Road networks — Distance ya travel…

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Implementation Options

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V × V ka 2D array

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matrix[i][j] = 1 (ya weight) agar…

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Pros: hasEdge O(1), simple

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Cons: O(V²) space, addVertex…

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Implementation Comparison

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Graph ADT in Programming Languages

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Graph operations bahut varied hain…

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Performance requirements vary:…

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Libraries domain-specific…

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Design Considerations

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Vertex simple integer ho ya…

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Generic type parameter: Graph<V>…

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Kya edge sirf pair (u, v) hai ya…

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Complex edge data ke liye Edge<V,…

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Real-World Usage

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Social Network APIs — Graph ADT…

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Route Planning — Map applications…

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Recommendation Engines — User-item…

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Dependency Resolution — Package…

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Limitations

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Graph ADT ka standard interface…

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Performance guarantees ADT level…

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Very large graphs (billions of…

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Dynamic graphs (frequent edge…

Comparison

Implementation Comparison

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Space: O(V²)

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addVertex: O(V²) resize

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addEdge: O(1)

Diagram

Visual Flow

📊 Diagram visualization — details in narration

Quiz — Question 1

Graph (Abstract Data Type) ka sabse sahi definition kya hai?

Quick Quiz

Quiz — Question 2

Graph (Abstract Data Type) ka 'Full Name' kya hai?

Complete! 🎉

Graph (Abstract Data Type) Complete!

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