In the context of Dijkstra's algorithm, what does the 'relaxation' process invol

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Question: In the context of Dijkstra\'s algorithm, what does the \'relaxation\' process involve?

Options:

Correct Answer: Updating the distance to a vertex.

Solution:

Relaxation involves updating the distance to a vertex if a shorter path is found through another vertex.

In the context of Dijkstra's algorithm, what does the 'relaxation' process involve?

In the context of Dijkstra's algorithm, what does the 'relaxation' process involve?

Step 1: Start with a graph that has vertices (points) and edges (connections between points).
Step 2: Assign a distance value to each vertex. Initially, set the distance to the starting vertex as 0 and all others as infinity.
Step 3: Look at the edges connected to the current vertex. For each edge, check the distance to the connected vertex.
Step 4: Calculate the total distance to the connected vertex by adding the distance to the current vertex and the weight of the edge.
Step 5: If this total distance is less than the currently known distance to the connected vertex, update the distance to this new shorter value.
Step 6: Repeat this process for all vertices until all have been processed.

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