Graph Traversal: BFS and DFS - Complexity Analysis - Real World Applications

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Q. In a graph with V vertices and E edges, what is the time complexity of DFS?
  • A. O(V)
  • B. O(E)
  • C. O(V + E)
  • D. O(V * E)
Q. In which scenario is Breadth-First Search (BFS) preferred over Depth-First Search (DFS)?
  • A. When memory is limited
  • B. When the shortest path is required
  • C. When the graph is very deep
  • D. When cycles are present
Q. What is the primary difference between BFS and DFS in terms of traversal strategy?
  • A. BFS uses a queue, DFS uses a stack
  • B. BFS uses a stack, DFS uses a queue
  • C. BFS is faster than DFS
  • D. DFS is always more memory efficient
Q. What is the space complexity of Depth-First Search (DFS) in the worst case?
  • A. O(V)
  • B. O(E)
  • C. O(V + E)
  • D. O(log V)
Q. Which algorithm would you use to find the shortest path in a weighted graph?
  • A. BFS
  • B. DFS
  • C. Dijkstra's Algorithm
  • D. Prim's Algorithm
Q. Which of the following is NOT a characteristic of BFS?
  • A. Uses a queue
  • B. Finds the shortest path in unweighted graphs
  • C. Can be implemented using recursion
  • D. Explores all neighbors before going deeper
Q. Which traversal method is typically used for finding connected components in an undirected graph?
  • A. BFS
  • B. DFS
  • C. Both BFS and DFS
  • D. None of the above
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