Which of the following statements about BFS and DFS is true?
Practice Questions
Q1
Which of the following statements about BFS and DFS is true?
BFS is always faster than DFS
DFS can be more memory efficient than BFS
BFS can be used for topological sorting
DFS is used for finding the shortest path
Questions & Step-by-Step Solutions
Which of the following statements about BFS and DFS is true?
Step 1: Understand what BFS (Breadth-First Search) and DFS (Depth-First Search) are. BFS explores all neighbors at the present depth before moving on to nodes at the next depth level, while DFS explores as far as possible along each branch before backtracking.
Step 2: Consider how memory is used in both algorithms. BFS uses a queue to keep track of all nodes at the current level, which can require a lot of memory if the graph is wide. DFS uses a stack (or recursion) to keep track of nodes, which can be more memory efficient if the graph is deep.
Step 3: Think about scenarios where DFS is more memory efficient. In a deep graph, where there are many levels but few nodes at each level, DFS will only need to remember the nodes along the current path, while BFS will need to remember all nodes at the current level.
Step 4: Conclude that in certain scenarios, especially with deep graphs, DFS can indeed be more memory efficient than BFS.
