BFS on graph
Last updated: December 3, 2025
Quick Overview
Implement a Breadth-First Search (BFS) algorithm to traverse a given undirected graph represented as an adjacency list. Your function should take the graph and a starting node as input and return a list of nodes in the order they are visited. Ensure that your solution handles graphs with cycles and disconnected components appropriately.
Walmart
December 3, 2025371
15
1,269 solved
Implement a Breadth-First Search (BFS) algorithm to traverse a given undirected graph represented as an adjacency list. Your function should take the graph and a starting node as input and return a list of nodes in the order they are visited. Ensure that your solution handles graphs with cycles and disconnected components appropriately.
How to Approach This
- Clarify input constraints and edge cases before writing code.
- Walk through your approach verbally and confirm with the interviewer before coding.
- Start with a brute force solution, then optimize. Mention time and space complexity.
- Test your solution with examples, including edge cases like empty input or duplicates.
- Consider common patterns: sliding window, two pointers, hash map, BFS/DFS, dynamic programming.
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Problem Analysis
The problem requires us to implement a Breadth-First Search (BFS) on an undirected graph represented as an adjacency list. BFS is suitable here because it explores all the neighbors of a node before m...
Approach
- Input Representation: The graph is given as an adjacency list, where each key is a node and its value is a list of adjacent nodes. For example,
graph = {0: [1, 2], 1: [0, 3], 2: [0], 3: [1]}...
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