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

Practice Questions

Q1
In the context of Dijkstra's algorithm, what does 'relaxation' refer to?
  1. Updating the distance of a node
  2. Removing a node from the graph
  3. Adding a new edge
  4. Sorting the nodes

Questions & Step-by-Step Solutions

In the context of Dijkstra's algorithm, what does 'relaxation' refer to?
  • Step 1: Understand that Dijkstra's algorithm is used to find the shortest path in a graph.
  • Step 2: Know that each node (or point) in the graph has a distance value that represents the shortest known distance from the starting point.
  • Step 3: When exploring a node, check all its neighboring nodes to see if there is a shorter path to them through the current node.
  • Step 4: If a shorter path is found to a neighboring node, update that node's distance value to this new shorter distance.
  • Step 5: This process of checking and updating distances is called 'relaxation'.
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