In Dijkstra's algorithm, what data structure is commonly used to select the next

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Question: In Dijkstra\'s algorithm, what data structure is commonly used to select the next node with the smallest tentative distance?

Options:

Correct Answer: Priority Queue

Solution:

A priority queue is used in Dijkstra\'s algorithm to efficiently retrieve the node with the smallest tentative distance.

In Dijkstra's algorithm, what data structure is commonly used to select the next node with the smallest tentative distance?

In Dijkstra's algorithm, what data structure is commonly used to select the next node with the smallest tentative distance?

Step 1: Understand that Dijkstra's algorithm is used to find the shortest path in a graph.
Step 2: Recognize that each node in the graph has a 'tentative distance' which represents the shortest known distance from the starting node.
Step 3: To find the next node to explore, we need a way to quickly find the node with the smallest tentative distance.
Step 4: A priority queue is a special data structure that allows us to efficiently retrieve the smallest item (in this case, the node with the smallest tentative distance).
Step 5: In Dijkstra's algorithm, we use a priority queue to keep track of all the nodes and their tentative distances, so we can always select the next node to explore quickly.

Dijkstra's Algorithm – An algorithm used for finding the shortest paths between nodes in a graph.
Priority Queue – A data structure that allows for efficient retrieval of the minimum (or maximum) element.