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Which algorithm would you use to find the shortest path in a weighted graph?

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Question: Which algorithm would you use to find the shortest path in a weighted graph?

Options:

  1. BFS
  2. DFS
  3. Dijkstra\'s Algorithm
  4. Prim\'s Algorithm

Correct Answer: Dijkstra\'s Algorithm

Solution:

Dijkstra\'s Algorithm is used to find the shortest path in a weighted graph, while BFS is used for unweighted graphs.

Which algorithm would you use to find the shortest path in a weighted graph?

Practice Questions

Q1
Which algorithm would you use to find the shortest path in a weighted graph?
  1. BFS
  2. DFS
  3. Dijkstra's Algorithm
  4. Prim's Algorithm

Questions & Step-by-Step Solutions

Which algorithm would you use to find the shortest path in a weighted graph?
  • Step 1: Understand what a weighted graph is. A weighted graph is a type of graph where each edge has a numerical value (weight) that represents the cost to travel from one node to another.
  • Step 2: Know that finding the shortest path means you want to find the least costly way to travel from one node to another in the graph.
  • Step 3: Learn about Dijkstra's Algorithm. This is a method specifically designed to find the shortest path in a weighted graph.
  • Step 4: Remember that Dijkstra's Algorithm works by exploring all possible paths from the starting node and keeping track of the shortest distance to each node until it reaches the destination.
  • Step 5: Note that if the graph is unweighted (meaning all edges have the same weight), you would use a different method called Breadth-First Search (BFS) instead.
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