How does Dijkstra's algorithm update the tentative distances?

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Question: How does Dijkstra\'s algorithm update the tentative distances?

Options:

Correct Answer: By adding the edge weights to the current distances

Solution:

Dijkstra\'s algorithm updates the tentative distances by adding the edge weights to the current distance of the node.

How does Dijkstra's algorithm update the tentative distances?

How does Dijkstra's algorithm update the tentative distances?

Step 1: Start with a graph where each node has a tentative distance. Initially, set the distance of the starting node to 0 and all other nodes to infinity.
Step 2: Select the node with the smallest tentative distance. This is your current node.
Step 3: Look at all the neighboring nodes connected to the current node.
Step 4: For each neighboring node, calculate the new tentative distance by adding the edge weight (the distance to the neighbor) to the current node's tentative distance.
Step 5: If the new tentative distance is less than the neighbor's current tentative distance, update the neighbor's tentative distance to the new value.
Step 6: Repeat steps 2 to 5 until all nodes have been visited or the shortest path to the target node is found.

Tentative Distances – Dijkstra's algorithm maintains a set of tentative distances from the source node to each node, which are updated based on the shortest known path.
Edge Weights – The algorithm uses the weights of the edges to determine the cost of reaching neighboring nodes from the current node.
Priority Queue – Dijkstra's algorithm utilizes a priority queue to efficiently select the next node with the smallest tentative distance.