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In Dijkstra's algorithm, what does the 'tentative distance' represent?

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Question: In Dijkstra\'s algorithm, what does the \'tentative distance\' represent?

Options:

  1. The actual shortest distance found
  2. The estimated distance to the destination
  3. The distance from the source to the current node
  4. The maximum distance in the graph

Correct Answer: The distance from the source to the current node

Solution:

The \'tentative distance\' represents the current best-known distance from the source node to the current node being processed.

In Dijkstra's algorithm, what does the 'tentative distance' represent?

Practice Questions

Q1
In Dijkstra's algorithm, what does the 'tentative distance' represent?
  1. The actual shortest distance found
  2. The estimated distance to the destination
  3. The distance from the source to the current node
  4. The maximum distance in the graph

Questions & Step-by-Step Solutions

In Dijkstra's algorithm, what does the 'tentative distance' represent?
  • Step 1: Understand that Dijkstra's algorithm is used to find the shortest path in a graph.
  • Step 2: Identify that the algorithm starts from a 'source node', which is the starting point.
  • Step 3: Realize that as the algorithm processes each node, it calculates how far that node is from the source node.
  • Step 4: The 'tentative distance' is the current best estimate of how far the source node is from the node being processed.
  • Step 5: If a shorter path to that node is found, the tentative distance is updated to reflect this new shorter path.
  • Tentative Distance – The tentative distance is the current best-known distance from the source node to a specific node in the graph during the execution of Dijkstra's algorithm.
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