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What is the primary goal of Dijkstra's algorithm?

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Question: What is the primary goal of Dijkstra\'s algorithm?

Options:

  1. To find all paths in a graph
  2. To find the shortest path from a source to all vertices
  3. To sort the vertices
  4. To detect cycles in a graph

Correct Answer: To find the shortest path from a source to all vertices

Solution: 

The primary goal of Dijkstra\'s algorithm is to find the shortest path from a source vertex to all other vertices in a weighted graph.

What is the primary goal of Dijkstra's algorithm?

Practice Questions

Q1
What is the primary goal of Dijkstra's algorithm?
  1. To find all paths in a graph
  2. To find the shortest path from a source to all vertices
  3. To sort the vertices
  4. To detect cycles in a graph

Questions & Step-by-Step Solutions

What is the primary goal of Dijkstra's algorithm?
  • Step 1: Understand that a graph is made up of points called vertices and lines connecting them called edges.
  • Step 2: Know that some edges have weights, which represent the cost or distance to travel between vertices.
  • Step 3: Identify a starting point in the graph, known as the source vertex.
  • Step 4: The goal of Dijkstra's algorithm is to find the shortest distance from this source vertex to every other vertex in the graph.
  • Step 5: Dijkstra's algorithm does this by exploring all possible paths and keeping track of the shortest known distance to each vertex.
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