What is the worst-case time complexity of Dijkstra's algorithm when using an adj

What is the worst-case time complexity of Dijkstra's algorithm when using an adjacency matrix?

What is the worst-case time complexity of Dijkstra's algorithm when using an adjacency matrix?

Step 1: Understand that Dijkstra's algorithm is used to find the shortest path from a starting vertex to all other vertices in a graph.
Step 2: Know that an adjacency matrix is a way to represent a graph where we use a 2D array to show the connections between vertices.
Step 3: Realize that in an adjacency matrix, we have V rows and V columns, where V is the number of vertices in the graph.
Step 4: For each vertex, Dijkstra's algorithm needs to check all other vertices to find the shortest path, which means it looks at all V vertices.
Step 5: Since we have to do this check for each of the V vertices, the total number of checks becomes V * V, which is V^2.
Step 6: Therefore, the worst-case time complexity of Dijkstra's algorithm using an adjacency matrix is O(V^2).

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