Graph Theory: Questions And Answers

Explore Questions and Answers to deepen your understanding of Graph Theory.

63 Short 66 Medium 48 Long Answer Questions Question Index

Short Answer Questions

Question 1. What is a graph in Graph Theory?

Question 2. What are the basic components of a graph?

Question 3. What is a vertex in a graph?

Question 4. What is an edge in a graph?

Question 5. What is the degree of a vertex in a graph?

Question 6. What is an isolated vertex in a graph?

Question 7. What is a loop in a graph?

Question 8. What is a simple graph?

Question 9. What is a multigraph?

Question 10. What is a pseudograph?

Question 11. What is an undirected graph?

Question 12. What is a directed graph?

Question 13. What is a weighted graph?

Question 14. What is a complete graph?

Question 15. What is a subgraph?

Question 16. What is an induced subgraph?

Question 17. What is a spanning subgraph?

Question 18. What is a connected graph?

Question 19. What is a disconnected graph?

Question 20. What is a path in a graph?

Question 21. What is a cycle in a graph?

Question 22. What is a tree in a graph?

Question 23. What is a forest in a graph?

Question 24. What is a bipartite graph?

Question 25. What is a complete bipartite graph?

Question 26. What is a planar graph?

Question 27. What is an Eulerian graph?

Question 28. What is a Hamiltonian graph?

Question 29. What is a regular graph?

Question 30. What is a matching in a graph?

Question 31. What is a maximum matching in a graph?

Question 32. What is a minimum matching in a graph?

Question 33. What is a vertex cover in a graph?

Question 34. What is an independent set in a graph?

Question 35. What is a clique in a graph?

Question 36. What is a chromatic number of a graph?

Question 37. What is a chromatic polynomial of a graph?

Question 38. What is a planar embedding of a graph?

Question 39. What is a planar graph drawing?

Question 40. What is a planar graph coloring?

Question 41. What is a planar graph subdivision?

Question 42. What is a planar graph minor?

Question 43. What is a planar graph contraction?

Question 44. What is a planar graph dual?

Question 45. What is a planar graph genus?

Question 46. What is a planar graph thickness?

Question 47. What is a planar graph crossing number?

Question 48. What is a planar graph embedding?

Question 49. What is a planar graph face?

Question 50. What is a planar graph boundary?

Question 51. What is a planar graph interior?

Question 52. What is a planar graph exterior?

Question 53. What is a planar graph vertex?

Question 54. What is a planar graph edge?

Question 55. What is a planar graph adjacency?

Question 56. What is a planar graph incidence?

Question 57. What is a planar graph degree?

Question 58. What is a planar graph neighborhood?

Question 59. What is a planar graph subgraph?

Question 60. What is a planar graph complement?

Question 61. What is a planar graph union?

Question 62. What is a planar graph intersection?

Question 63. What is a planar graph difference?

Medium Answer Questions

Question 1. What is Graph Theory?

Question 2. What are the basic components of a graph?

Question 3. Explain the concept of vertices and edges in a graph.

Question 4. What is a directed graph?

Question 5. What is an undirected graph?

Question 6. What is the degree of a vertex in a graph?

Question 7. What is a path in a graph?

Question 8. What is a cycle in a graph?

Question 9. What is a connected graph?

Question 10. What is a disconnected graph?

Question 11. What is a complete graph?

Question 12. What is a bipartite graph?

Question 13. What is a tree in graph theory?

Question 14. What is a spanning tree?

Question 15. What is a minimum spanning tree?

Question 16. What is a weighted graph?

Question 17. What is a planar graph?

Question 18. What is the Eulerian path in a graph?

Question 19. What is the Hamiltonian cycle in a graph?

Question 20. What is the chromatic number of a graph?

Question 21. What is the chromatic polynomial of a graph?

Question 22. What is the adjacency matrix of a graph?

Question 23. What is the incidence matrix of a graph?

Question 24. What is the Laplacian matrix of a graph?

Question 25. What is the adjacency list representation of a graph?

Question 26. What is the depth-first search algorithm in graph traversal?

Question 27. What is the breadth-first search algorithm in graph traversal?

Question 28. What is Dijkstra's algorithm for finding the shortest path in a graph?

Question 29. What is the Bellman-Ford algorithm for finding the shortest path in a graph?

Question 30. What is the Floyd-Warshall algorithm for finding all-pairs shortest paths in a graph?

Question 31. What is the Kruskal's algorithm for finding the minimum spanning tree in a graph?

Question 32. What is the Prim's algorithm for finding the minimum spanning tree in a graph?

Question 33. What is the topological sorting algorithm in graph theory?

Question 34. What is the maximum flow problem in graph theory?

Question 35. What is the Ford-Fulkerson algorithm for solving the maximum flow problem in a graph?

Question 36. What is the Edmonds-Karp algorithm for solving the maximum flow problem in a graph?

Question 37. What is the Dinic's algorithm for solving the maximum flow problem in a graph?

Question 38. What is the bipartite matching problem in graph theory?

Question 39. What is the Hopcroft-Karp algorithm for solving the bipartite matching problem in a graph?

Question 40. What is the Hungarian algorithm for solving the bipartite matching problem in a graph?

Question 41. What is the traveling salesman problem in graph theory?

Question 42. What is the nearest neighbor algorithm for solving the traveling salesman problem in a graph?

Question 43. What is the 2-opt algorithm for solving the traveling salesman problem in a graph?

Question 44. What is the simulated annealing algorithm for solving the traveling salesman problem in a graph?

Question 45. What is the genetic algorithm for solving the traveling salesman problem in a graph?

Question 46. What is the Chinese postman problem in graph theory?

Question 47. What is the Eulerian circuit in a graph?

Question 48. What is the Hamiltonian path in a graph?

Question 49. What is the graph coloring problem in graph theory?

Question 50. What is the greedy algorithm for solving the graph coloring problem?

Question 51. What is the backtracking algorithm for solving the graph coloring problem?

Question 52. What is the branch and bound algorithm for solving the graph coloring problem?

Question 53. What is the clique problem in graph theory?

Question 54. What is the maximum clique problem in graph theory?

Question 55. What is the independent set problem in graph theory?

Question 56. What is the maximum independent set problem in graph theory?

Question 57. What is the vertex cover problem in graph theory?

Question 58. What is the minimum vertex cover problem in graph theory?

Question 59. What is the graph isomorphism problem in graph theory?

Question 60. What is the subgraph isomorphism problem in graph theory?

Question 61. What is the graph automorphism problem in graph theory?

Question 62. What is the graph minor problem in graph theory?

Question 63. What is the graph embedding problem in graph theory?

Question 64. What is the graph drawing problem in graph theory?

Question 65. What is the graph layout problem in graph theory?

Question 66. What is the graph visualization problem in graph theory?

Long Answer Questions

Question 1. What is a graph in Graph Theory?

Question 2. Explain the concept of vertices and edges in a graph.

Question 3. What are the different types of graphs in Graph Theory?

Question 4. Define the terms 'degree' and 'order' in Graph Theory.

Question 5. What is a path in a graph?

Question 6. Explain the concept of a cycle in a graph.

Question 7. What is a connected graph?

Question 8. Define the terms 'tree' and 'forest' in Graph Theory.

Question 9. Explain the concept of a spanning tree in a graph.

Question 10. What is a bipartite graph?

Question 11. Explain the concept of a complete graph.

Question 12. What is an Eulerian graph?

Question 13. Define the terms 'Hamiltonian graph' and 'Hamiltonian cycle'.

Question 14. Explain the concept of a planar graph.

Question 15. What is a planar embedding?

Question 16. Define the terms 'chromatic number' and 'chromatic polynomial' in Graph Theory.

Question 17. Explain the concept of a clique in a graph.

Question 18. What is a cut vertex in a graph?

Question 19. Define the terms 'isomorphism' and 'subgraph' in Graph Theory.

Question 20. Explain the concept of a directed graph.

Question 21. What is a strongly connected graph?

Question 22. Define the terms 'topological sort' and 'transitive closure' in Graph Theory.

Question 23. Explain the concept of a weighted graph.

Question 24. What is a minimum spanning tree?

Question 25. Define the terms 'shortest path' and 'Dijkstra's algorithm' in Graph Theory.

Question 26. Explain the concept of a flow network in Graph Theory.

Question 27. What is the Ford-Fulkerson algorithm?

Question 28. Define the terms 'matching' and 'maximum flow' in Graph Theory.

Question 29. Explain the concept of a bipartite matching.

Question 30. What is the Hungarian algorithm?

Question 31. Define the terms 'graph coloring' and 'vertex coloring' in Graph Theory.

Question 32. Explain the concept of a chromatic polynomial.

Question 33. What is the Four Color Theorem?

Question 34. Define the terms 'graph isomorphism' and 'graph automorphism' in Graph Theory.

Question 35. Explain the concept of a planar graph embedding.

Question 36. What is Kuratowski's theorem?

Question 37. Define the terms 'graph connectivity' and 'edge connectivity' in Graph Theory.

Question 38. Explain the concept of a cut set in a graph.

Question 39. What is Menger's theorem?

Question 40. Define the terms 'graph traversal' and 'breadth-first search' in Graph Theory.

Question 41. Explain the concept of a depth-first search.

Question 42. What is the Kosaraju-Sharir algorithm?

Question 43. Define the terms 'graph representation' and 'adjacency matrix' in Graph Theory.

Question 44. Explain the concept of an incidence matrix.

Question 45. What is the adjacency list representation?

Question 46. Define the terms 'graph algorithm' and 'graph theory application' in Graph Theory.

Question 47. Explain the concept of a minimum cut.

Question 48. What is the Stoer-Wagner algorithm?