Freshers (0–2 years)

Graph Theory Interview Questions for Freshers

Preparing for your first Graph Theory interviews? This set is curated for freshers and early-career developers (0–2 years): the 27 questions that come up most for entry-level roles, each with a clear answer, example code and follow-ups.

27Questions14Beginner13Intermediate

27 Graph Theory questions

  1. 1Floyd-Warshall AlgorithmIntermediate
  2. 2Bipartite Graph CheckIntermediate
  3. 3Find if a Path exists (Union-Find)Intermediate
  4. 4What is a Directed Acyclic Graph (DAG)?Intermediate
  5. 5Bellman-Ford AlgorithmIntermediate
  6. 6Kruskal's Algorithm for MSTIntermediate
  7. 7Prim's Algorithm for MSTIntermediate
  8. 8Topological SortingIntermediate
  9. 9Detecting Cycles in Undirected GraphsIntermediate
  10. 10Dijkstra's Algorithm: Shortest PathIntermediate
  11. 11What is a Connected Graph?Beginner
  12. 12Self-loops and Multiple Edges?Beginner
  13. 13What is a Cycle in a graph?Beginner
  14. 14What is a Weighted Graph?Beginner
  15. 15Explain Depth-First Search (DFS).Beginner
  16. 16Explain Breadth-First Search (BFS).Beginner
  17. 17What is an Adjacency List?Beginner
  18. 18What is an Adjacency Matrix?Beginner
  19. 19Directed vs. Undirected Graphs?Beginner
  20. 20What is a Graph Data Structure?Beginner
  21. 21Graph Theory Interview Question 5 (Free)Intermediate
  22. 22Graph Theory Interview Question 4 (Free)Beginner
  23. 23Graph Theory Interview Question 2 (Free)Intermediate
  24. 24Graph Theory Interview Question 1 (Free)Beginner
  25. 25Graph Theory Advanced Interview Question 10Beginner
  26. 26Graph Theory Advanced Interview Question 8Intermediate
  27. 27Graph Theory Advanced Interview Question 7Beginner

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Frequently asked questions

Which Graph Theory questions do freshers (0–2 years) get asked?

This page collects 27 Graph Theory interview questions aligned with freshers (0–2 years), ranging across the difficulty levels that match that experience band.

How do I prepare for a Graph Theory interview with my experience level?

Work through these questions in order, make sure you can explain each answer out loud, and pay attention to the real-world examples and follow-ups — interviewers at this level care as much about reasoning as the final answer.

Do the answers include code and examples?

Yes — answers include explanations, code examples where relevant, common mistakes to avoid and follow-up questions so you are ready for the full interview conversation.