Validate graph complete
Last updated: June 5, 2026
Quick Overview
Given a graph represented as an adjacency list, write a function to determine if the graph is complete. A complete graph is one in which every pair of distinct vertices is connected by a unique edge. The function should return a boolean value indicating whether the graph is complete or not.
Twilio
June 5, 2026126
15
764 solved
Given a graph represented as an adjacency list, write a function to determine if the graph is complete. A complete graph is one in which every pair of distinct vertices is connected by a unique edge. The function should return a boolean value indicating whether the graph is complete or not.
Coding interviews at Twilio focus on problem-solving approach as much as the final solution. The interviewer wants to see you break down the problem, consider edge cases, and optimize iteratively. Communication throughout the process is key.
What the Interviewer Expects
- Identify the correct data structure and algorithm for the problem
- Write clean, bug-free code with proper variable naming
- Analyze time and space complexity correctly
- Handle basic edge cases (empty input, single element)
- Communicate your thought process while coding
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
- How would you test this solution thoroughly?
- Can you solve this in a single pass?
- What is the worst-case input for your solution?
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Practice DSA ProblemsSample Answer
Problem Analysis
To determine if a graph is complete, we need to verify that every pair of distinct vertices is connected by a unique edge. A complete graph with n vertices should have exactly n*(n-1)/2 edges. Thi...
Approach
- Input Validation: Check if the adjacency list is empty or if it contains only one vertex. If so, return
True, as these cases represent complete graphs by default. - Count Vertices: Dete...
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