Which traversal method is more memory efficient for a sparse graph?

₹0.0

Question: Which traversal method is more memory efficient for a sparse graph?

Options:

Correct Answer: DFS

Solution:

DFS can be more memory efficient than BFS for sparse graphs because it uses a stack (or recursion) instead of a queue, which can grow larger in BFS.

Which traversal method is more memory efficient for a sparse graph?

Which traversal method is more memory efficient for a sparse graph?

Step 1: Understand what a sparse graph is. A sparse graph has very few edges compared to the number of vertices.
Step 2: Learn about the two traversal methods: Depth-First Search (DFS) and Breadth-First Search (BFS).
Step 3: Note that DFS uses a stack (or can use recursion) to keep track of nodes to visit next.
Step 4: Observe that BFS uses a queue to keep track of nodes to visit next.
Step 5: Realize that in a sparse graph, the number of edges is low, so the stack used by DFS will generally be smaller than the queue used by BFS.
Step 6: Conclude that DFS can be more memory efficient than BFS for sparse graphs because it requires less memory to store the nodes.

No concepts available.