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In the context of Dijkstra's algorithm, what does 'tentative distance' refer to?

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Question: In the context of Dijkstra\'s algorithm, what does \'tentative distance\' refer to?

Options:

  1. The final distance to the destination
  2. The distance calculated from the source to a node
  3. The distance to the nearest neighbor
  4. The distance that has been confirmed

Correct Answer: The distance calculated from the source to a node

Solution:

The \'tentative distance\' refers to the distance calculated from the source to a node, which may be updated as shorter paths are found.

In the context of Dijkstra's algorithm, what does 'tentative distance' refer to?

Practice Questions

Q1
In the context of Dijkstra's algorithm, what does 'tentative distance' refer to?
  1. The final distance to the destination
  2. The distance calculated from the source to a node
  3. The distance to the nearest neighbor
  4. The distance that has been confirmed

Questions & Step-by-Step Solutions

In the context of Dijkstra's algorithm, what does 'tentative distance' refer to?
  • Step 1: Understand that Dijkstra's algorithm is used to find the shortest path from a starting point (source) to other points (nodes) in a graph.
  • Step 2: When the algorithm starts, it sets the distance to the source node as 0 and all other nodes as infinity (meaning they are unreachable at first).
  • Step 3: As the algorithm explores the graph, it calculates the distance to each node from the source. This calculated distance is called the 'tentative distance'.
  • Step 4: If a shorter path to a node is found, the tentative distance for that node is updated to reflect the new, shorter distance.
  • Step 5: The process continues until the shortest path to all nodes is determined.
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