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Which traversal method is guaranteed to find the shortest path in an unweighted

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Question: Which traversal method is guaranteed to find the shortest path in an unweighted graph?

Options:

  1. Depth-First Search
  2. Breadth-First Search
  3. Dijkstra\'s Algorithm
  4. A* Search

Correct Answer: Breadth-First Search

Solution: 

BFS is guaranteed to find the shortest path in an unweighted graph because it explores all neighbors at the present depth prior to moving on to nodes at the next depth level.

Which traversal method is guaranteed to find the shortest path in an unweighted

Practice Questions

Q1
Which traversal method is guaranteed to find the shortest path in an unweighted graph?
  1. Depth-First Search
  2. Breadth-First Search
  3. Dijkstra's Algorithm
  4. A* Search

Questions & Step-by-Step Solutions

Which traversal method is guaranteed to find the shortest path in an unweighted graph?
  • Step 1: Understand what an unweighted graph is. An unweighted graph is a graph where all edges have the same weight or cost, typically considered as 1.
  • Step 2: Learn about graph traversal methods. The two common methods are Depth-First Search (DFS) and Breadth-First Search (BFS).
  • Step 3: Know how BFS works. BFS starts at a source node and explores all its neighbors before moving on to the next level of nodes.
  • Step 4: Realize that by exploring all neighbors at the current depth first, BFS ensures that the first time it reaches a node, it has found the shortest path to that node.
  • Step 5: Conclude that since BFS explores all nodes at the same depth before going deeper, it is guaranteed to find the shortest path in an unweighted graph.
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