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In the context of Dijkstra's algorithm, what does 'relaxation' refer to?
In the context of Dijkstra's algorithm, what does 'relaxation' refer to?
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In the context of Dijkstra's algorithm, what does 'relaxation' refer to?
Updating the distance of a node
Removing a node from the graph
Adding a new edge
Sorting the nodes
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Relaxation refers to the process of updating the shortest known distance to a node if a shorter path is found.
Questions & Step-by-step Solutions
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Q
Q: In the context of Dijkstra's algorithm, what does 'relaxation' refer to?
Solution:
Relaxation refers to the process of updating the shortest known distance to a node if a shorter path is found.
Steps: 5
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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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