If a graph has 5 vertices and 7 edges, what is the maximum number of iterations

₹0.0

Question: If a graph has 5 vertices and 7 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 7 edges, what is the maximum number of iterations Dijkstra's algorithm will perform?

If a graph has 5 vertices and 7 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 to find the shortest path. It will perform one iteration for each vertex.
Step 4: Since there are 5 vertices, Dijkstra's algorithm will perform 5 iterations in total.
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 – The study of graphs, which are mathematical structures used to model pairwise relations between objects.
Vertices and Edges – Vertices are the nodes in a graph, and edges are the connections between them; the number of vertices and edges can affect algorithm performance.