Which algorithm uses a priority queue to find the shortest path in a graph?

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Question: Which algorithm uses a priority queue to find the shortest path in a graph?

Options:

Correct Answer: Dijkstra\'s Algorithm

Solution:

Dijkstra\'s Algorithm uses a priority queue to efficiently find the shortest path from a source vertex to all other vertices in a graph.

Which algorithm uses a priority queue to find the shortest path in a graph?

Which algorithm uses a priority queue to find the shortest path in a graph?

Step 1: Understand what a graph is. A graph consists of vertices (points) and edges (connections between points).
Step 2: Learn about paths in a graph. A path is a sequence of edges that connects two vertices.
Step 3: Know what a shortest path is. The shortest path is the path with the least total weight (distance or cost) between two vertices.
Step 4: Familiarize yourself with algorithms. An algorithm is a step-by-step procedure to solve a problem.
Step 5: Discover Dijkstra's Algorithm. It is a specific algorithm designed to find the shortest path in a graph.
Step 6: Understand the role of a priority queue. A priority queue is a data structure that allows you to efficiently retrieve the next vertex with the smallest distance.
Step 7: Realize that Dijkstra's Algorithm uses a priority queue to keep track of which vertex to explore next based on the shortest known distance.

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