Use Dijkstra’s algorithm to find the shortest paths in the graph given in Fig. 3 with
Dijkstra's algorithm is a well-known algorithm used to find the shortest paths between a source node and all other nodes in a graph with non-negative edge weights. The algorithm works by iteratively selecting the node with the smallest known distance and exploring its neighbors, updating their distances if a shorter path is found.
To apply Dijkstra's algorithm, we need a graph with weighted edges. The graph in the figure (which is not visible here) would typically be represented by an adjacency matrix or adjacency list, with each edge labeled with its weight.
Here’s the general step-by-step process of applying Dijkstra’s algorithm:
### Step 1: Initialization
1. Start with the source node: Choose a starting node and assign it a tentative distance of zero (since the shortest path from the source to itself is zero). Assign all other nodes a tentative distance of infinity, as they are initially unreachable.
2. Set of visited nodes: Keep a set of visited nodes, initially empty, to track which nodes have been processed.
3. Priority Queue: Use a priority queue (or a min-heap) to efficiently retrieve the next _______ ____ _____ _____ _______ ____ ____.
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