What is the space complexity of Dijkstra's algorithm using an adjacency list?
Practice Questions
Q1
What is the space complexity of Dijkstra's algorithm using an adjacency list?
O(V)
O(E)
O(V + E)
O(V^2)
Questions & Step-by-Step Solutions
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).
