What is the space complexity of Dijkstra's algorithm using an adjacency list?

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Question: What is the space complexity of Dijkstra\'s algorithm using an adjacency list?

Options:

Correct Answer: O(V + E)

Solution:

The space complexity of Dijkstra\'s algorithm using an adjacency list is O(V + E), where V is the number of vertices and E is the number of edges.

What is the space complexity of Dijkstra's algorithm using an adjacency list?

What is the space complexity of Dijkstra's algorithm using an adjacency list?

Step 1: Understand what space complexity means. It refers to the amount of memory space required by an algorithm as a function of the input size.
Step 2: Identify the components of Dijkstra's algorithm. It uses a graph represented by an adjacency list, which consists of vertices (V) and edges (E).
Step 3: Recognize that the adjacency list requires space to store all vertices and their connections (edges).
Step 4: Note that the adjacency list will have space for V vertices and E edges.
Step 5: Combine the space needed for vertices and edges. The total space used is V (for vertices) + E (for edges).
Step 6: Conclude that the space complexity of Dijkstra's algorithm using an adjacency list is O(V + E).

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