Validate graph complete
Last updated: September 2, 2025
Quick Overview
Given an undirected 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 true if the graph is complete and false otherwise.
Microsoft
September 2, 20256
4
4,679 solved
Given an undirected 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 true if the graph is complete and false otherwise.
Coding interviews at Microsoft 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
- Recognize the underlying problem pattern (sliding window, two pointers, BFS/DFS, etc.)
- Discuss multiple approaches and trade-offs before coding
- Implement an optimal solution with clean, production-quality code
- Handle all edge cases including boundary conditions and invalid input
- Optimize both time and space complexity with clear justification
- Test your solution systematically with well-chosen examples
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 your solution change if the input was sorted?
- Can you optimize the space complexity of your solution?
- How would you parallelize this solution?
- Can you solve this iteratively instead of recursively (or vice versa)?
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Problem Analysis
To determine if a graph is complete, we need to check if every pair of distinct vertices has a unique edge connecting them. This means that for an undirected graph with n vertices, there should be e...
Approach
- Count Vertices: First, determine the number of vertices
nin the graph from the adjacency list. - Count Edges: Initialize a counter for edges and iterate through each vertex's adjacency...
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