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Breadth-first Search

Breadth-first search (BFS) ek fundamental graph traversal algorithm hai jo kisi graph ya tree ko…

Overview

Breadth-first Search — Quick Facts

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Key: Value

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Topic: Breadth-first Search (BFS)

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Category: Data Structures & Algorithms

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Type: Graph/Tree Traversal Algorithm

Topic 1

BFS Kya Hai — Simple Analogy

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Pehli ring — sabse paas ke points…

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Doosri ring — thode door ke points…

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Teesri ring — aur door (distance 3)

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... aur aisa chalta jaata hai

Topic 2

BFS Kaise Kaam Karta Hai

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Queue se front node nikalo…

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Is node ke saare unvisited…

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Visited mark karo

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Queue me daalo (enqueue)

Topic 3

Graph vs Tree BFS

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Visited set ki zaroorat kam hoti…

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Har node ka exactly ek path hota…

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BFS naturally levels me traverse…

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Cycles ho sakte hain — isliye…

Topic 4

BFS Traversal Order

⭐ `mermaid graph TD S["S (Start)<br/>Level 0"] --> A["A<br/>Level 1"] S --> B["B<br/>Level…

Topic 5

Time and Space Complexity

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V = number of vertices (nodes)

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E = number of edges

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Queue me worst case me ek puri…

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Visited set me V entries hoti hain

Topic 6

Algorithm Complexity Comparison

Topic 7

BFS vs DFS — Detailed Comparison

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Shortest path chahiye (unweighted)

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Nearest kuch dhundhna hai (nearest…

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Level-order processing chahiye

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Graph wide but shallow hai

Topic 8

Applications of BFS

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Root → Level 1 nodes → Level 2…

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Interview me bahut common: "Print…

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Har unvisited node se BFS run karo

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Jo saare nodes ek BFS call me…

Topic 9

BFS in Real Life

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Tumhare direct connections (Level…

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Unke connections (Level 2) me se…

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Highest commonality = strongest…

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2nd degree connections hi suggest…

Topic 10

Limitations and Edge Cases

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Empty graph (no nodes): BFS…

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Single node, no edges: BFS visits…

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Self-loop: Visited check handles…

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Parallel edges (multigraph): BFS…

Topic 11

Common Interview Patterns

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Standard level-order: Print tree…

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Zigzag level-order: Alternate…

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Reverse level-order: Bottom level…

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Right/Left view: Sirf har level ka…

Topic 12

Best Practices

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Deque (double-ended queue) use…

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Plain array/list se front-removal…

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Most languages me built-in deque…

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Node ko enqueue karte waqt visited…

Topic 13

Dekhiye Yeh Bhi

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[[Depth-first Search]] — Opposite…

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[[Graph]] — Graph data structure…

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[[Tree]] — Tree data structure and…

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[[Queue]] — FIFO data structure…

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

BFS vs DFS — Detailed Comparison

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Full Name: Breadth-first Search

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Traversal Order: Level-by-level…

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Data Structure: Queue (FIFO)

Diagram

Visual Flow

📊 Diagram visualization — details in narration

Quick Quiz

Quiz — Question 1

Breadth-first Search ka sabse sahi definition kya hai?

Quick Quiz

Quiz — Question 2

Breadth-first Search ka 'Topic' kya hai?

Complete! 🎉

Breadth-first Search Complete!

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