In a graph, if all edges have the same weight, which algorithm can be used to fi

Practice Questions

Q1
In a graph, if all edges have the same weight, which algorithm can be used to find the shortest path?
  1. Dijkstra's algorithm
  2. Breadth-First Search (BFS)
  3. Depth-First Search (DFS)
  4. A* Search

Questions & Step-by-Step Solutions

In a graph, if all edges have the same weight, which algorithm can be used to find the shortest path?
  • Step 1: Understand that a graph consists of nodes (or vertices) connected by edges.
  • Step 2: Recognize that when all edges have the same weight, it means each edge contributes equally to the path length.
  • Step 3: Learn that Breadth-First Search (BFS) is a method used to explore the graph level by level.
  • Step 4: Realize that BFS will find the shortest path in an unweighted graph (or a graph with equal edge weights) because it explores all nodes at the present depth before moving on to nodes at the next depth level.
  • Step 5: Conclude that since BFS explores all possible paths equally, it guarantees finding the shortest path when all edges are the same.
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