If a graph has 5 vertices and 10 edges, what is the maximum number of iterations

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Question: If a graph has 5 vertices and 10 edges, what is the maximum number of iterations Dijkstra\'s algorithm will perform?

Options:

Correct Answer: 5

Solution:

Dijkstra\'s algorithm will perform at most V iterations, where V is the number of vertices. In this case, it will perform 5 iterations.

If a graph has 5 vertices and 10 edges, what is the maximum number of iterations Dijkstra's algorithm will perform?

If a graph has 5 vertices and 10 edges, what is the maximum number of iterations Dijkstra's algorithm will perform?

Step 1: Understand what Dijkstra's algorithm does. It finds the shortest path from a starting vertex to all other vertices in a graph.
Step 2: Identify the number of vertices in the graph. In this case, there are 5 vertices.
Step 3: Know that Dijkstra's algorithm processes each vertex one at a time. This means it will perform one iteration for each vertex.
Step 4: Since there are 5 vertices, Dijkstra's algorithm will perform 5 iterations.
Step 5: Conclude that the maximum number of iterations Dijkstra's algorithm will perform is equal to the number of vertices, which is 5.

Dijkstra's Algorithm – An algorithm used for finding the shortest paths between nodes in a graph, particularly useful for weighted graphs.
Graph Theory Basics – Understanding the relationship between vertices and edges in a graph, including how they affect algorithm performance.