Validate graph complete
Last updated: September 26, 2025
Quick Overview
Given a directed graph represented as an adjacency list, write a function to determine if the graph is complete, meaning that there is a directed edge from every vertex to every other vertex. The function should return a boolean value: true if the graph is complete, and false otherwise.
Rippling
September 26, 202589
13
2,943 solved
Given a directed graph represented as an adjacency list, write a function to determine if the graph is complete, meaning that there is a directed edge from every vertex to every other vertex. The function should return a boolean value: true if the graph is complete, and false otherwise.
This coding problem is frequently asked during Take-home Project at Rippling. The interviewer is testing your ability to translate a problem into clean, working code while discussing time and space complexity. Rippling expects candidates to write production-quality code, not just solve the puzzle.
What the Interviewer Expects
- Quickly identify the optimal approach and its theoretical basis
- Handle complex algorithm design with multiple interacting components
- Write concise, elegant code under time pressure
- Prove correctness of your approach and discuss alternative solutions
- Optimize beyond the obvious: discuss constant factor improvements
- Address follow-up variations and explain how the solution generalizes
Key Topics to Cover
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.
Possible Follow-up Questions
- Can you optimize the space complexity of your solution?
- What is the worst-case input for your solution?
- Can you solve this in a single pass?
- Can you solve this iteratively instead of recursively (or vice versa)?
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Problem Analysis
To determine if a directed graph is complete, we need to verify that for every pair of distinct vertices (u, v), there exists a directed edge from u to v. This is a classic case for using an adjacency...
Approach
- Initialize a set or list to keep track of the number of vertices, denoted as
n. 2. Iterate through each vertex in the graph's adjacency list. For each vertexu, check if it has directed...
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