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In a weighted graph, if all edge weights are equal, which algorithm can be used

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Question: In a weighted graph, if all edge weights are equal, which algorithm can be used instead of Dijkstra\'s?

Options:

  1. Depth-First Search
  2. Breadth-First Search
  3. A* Search
  4. Bellman-Ford Algorithm

Correct Answer: Breadth-First Search

Solution: 

If all edge weights are equal, Breadth-First Search can be used to find the shortest path, as it explores all neighbors at the present depth prior to moving on.

In a weighted graph, if all edge weights are equal, which algorithm can be used

Practice Questions

Q1
In a weighted graph, if all edge weights are equal, which algorithm can be used instead of Dijkstra's?
  1. Depth-First Search
  2. Breadth-First Search
  3. A* Search
  4. Bellman-Ford Algorithm

Questions & Step-by-Step Solutions

In a weighted graph, if all edge weights are equal, which algorithm can be used instead of Dijkstra's?
  • Step 1: Understand that a weighted graph has edges with weights (costs) associated with them.
  • Step 2: Recognize that if all edge weights are equal, it means moving from one node to another costs the same regardless of the path taken.
  • Step 3: Know that Dijkstra's algorithm is used to find the shortest path in graphs with varying edge weights.
  • Step 4: Realize that when all edge weights are equal, the shortest path can be found more simply.
  • Step 5: Learn that Breadth-First Search (BFS) is a suitable algorithm for this situation because it explores all nodes at the current depth before moving deeper.
  • Step 6: Conclude that using BFS will efficiently find the shortest path in a graph where all edge weights are the same.
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