Which traversal method is better for finding all paths between two nodes in a gr

Practice Questions

Q1
Which traversal method is better for finding all paths between two nodes in a graph?
  1. BFS
  2. DFS
  3. Both are equally good
  4. Neither can find all paths

Questions & Step-by-Step Solutions

Which traversal method is better for finding all paths between two nodes in a graph?
  • Step 1: Understand what a graph is. A graph consists of nodes (or vertices) connected by edges.
  • Step 2: Know the two common traversal methods: Depth-First Search (DFS) and Breadth-First Search (BFS).
  • Step 3: Recognize that DFS explores as far as possible along each branch before backtracking.
  • Step 4: Realize that when looking for all paths between two nodes, DFS will continue to explore until it finds all possible routes.
  • Step 5: Compare this with BFS, which explores all neighbors at the present depth before moving on to nodes at the next depth level, making it less efficient for finding all paths.
  • Step 6: Conclude that DFS is better for finding all paths because it thoroughly explores each path before moving on.
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