Graph Theory Interview Questions 2026
A current, 2026 snapshot of the Graph Theory interview questions worth knowing — kept up to date as frameworks and best practices evolve, so you prepare with what companies are actually asking in 2026.
60 Graph Theory questions
- 1Floyd-Warshall AlgorithmIntermediate
- 2Bipartite Graph CheckIntermediate
- 3Find if a Path exists (Union-Find)Intermediate
- 4What is a Directed Acyclic Graph (DAG)?Intermediate
- 5Bellman-Ford AlgorithmIntermediate
- 6Kruskal's Algorithm for MSTIntermediate
- 7Prim's Algorithm for MSTIntermediate
- 8Topological SortingIntermediate
- 9Detecting Cycles in Undirected GraphsIntermediate
- 10Dijkstra's Algorithm: Shortest PathIntermediate
- 11What is a Connected Graph?Beginner
- 12Self-loops and Multiple Edges?Beginner
- 13What is a Cycle in a graph?Beginner
- 14What is a Weighted Graph?Beginner
- 15Explain Depth-First Search (DFS).Beginner
- 16Explain Breadth-First Search (BFS).Beginner
- 17What is an Adjacency List?Beginner
- 18What is an Adjacency Matrix?Beginner
- 19Directed vs. Undirected Graphs?Beginner
- 20What is a Graph Data Structure?Beginner
- 21Graph Theory Interview Question 5 (Free)Intermediate
- 22Graph Theory Interview Question 4 (Free)Beginner
- 23Graph Theory Interview Question 3 (Free)Senior
- 24Graph Theory Interview Question 2 (Free)Intermediate
- 25Graph Theory Interview Question 1 (Free)Beginner
- 26Zero-Knowledge Proofs in Graph 3-ColorabilitySenior
- 27Gossip Protocols and Information DisseminationSenior
- 28B-Trees vs. Graph Structures in File SystemsSenior
- 29Random Graphs: Erdos-Renyi and Scale-Free NetworksSenior
- 30Visualizing Large-Scale Graphs: Force-Directed LayoutsSenior
- 31Hypergraphs and their use in Data ModelingSenior
- 32Graph Isomorphism Problem and ComplexitySenior
- 33Spectral Graph Theory and Community DetectionSenior
- 34Matching Theory: Hopcroft-Karp AlgorithmSenior
- 35Wait-free Concurrent Graph TraversalSenior
- 36Memory-efficient Sparse Graph Representations (CSR)Senior
- 37Graph Neural Networks (GNNs) for Fraud DetectionSenior
- 38PageRank Algorithm: Architecture and ConvergenceSenior
- 39Locality-Sensitive Hashing for Graph SimilaritySenior
- 40Hierarchical Clustering on GraphsSenior
- 41Traveling Salesperson Problem (TSP) ApproximationSenior
- 42Dynamic Graph Algorithms for Real-time NetworksSenior
- 43Planar Graphs and Kuratowski's TheoremSenior
- 44Graph Partitioning for Large Scale Parallel ComputingSenior
- 45Johnson's Algorithm for All-Pairs Shortest PathSenior
- 46Max-Flow Min-Cut Theorem and ApplicationsSenior
- 47Scalable Recommendation Engines using Graph EmbeddingsSenior
- 48Graph Database Internals (Neo4j vs Relational)Senior
- 49Distributed Graph Processing (Apache Giraph/Pregel)Senior
- 50Hamiltonian Paths vs Eulerian PathsSenior
- 51Bridge and Articulation Point detectionSenior
- 52A* Search Algorithm: Heuristics and PerformanceSenior
- 53Graph Coloring and NP-CompletenessSenior
- 54Network Flow: Ford-Fulkerson and Edmonds-KarpSenior
- 55Strongly Connected Components (Tarjan's vs Kosaraju's)Senior
- 56Graph Theory Advanced Interview Question 10Beginner
- 57Graph Theory Advanced Interview Question 9Senior
- 58Graph Theory Advanced Interview Question 8Intermediate
- 59Graph Theory Advanced Interview Question 7Beginner
- 60Graph Theory Advanced Interview Question 6Senior
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Frequently asked questions
Are these Graph Theory interview questions up to date for 2026?
Yes. This page reflects 60 Graph Theory interview questions kept current with today's frameworks, tooling and interview trends, with each answer maintained and dated.
What Graph Theory topics should I focus on in 2026?
Prioritise the fundamentals plus the modern patterns interviewers ask about now. Each question here includes a detailed answer, code example and common mistakes so you can target the highest-impact areas.
Are these questions free?
You can read the question and a short answer for free. A subscription unlocks the full detailed explanation, real-world example, common mistakes and follow-up questions for each one.