In a graph represented by an adjacency list, what is the space complexity?
Practice Questions
Q1
In a graph represented by an adjacency list, what is the space complexity?
O(V)
O(E)
O(V + E)
O(V * E)
Questions & Step-by-Step Solutions
In a graph represented by an adjacency list, what is the space complexity?
Step 1: Understand what an adjacency list is. It is a way to represent a graph where each vertex has a list of its neighboring vertices.
Step 2: Identify the components of the graph. V represents the number of vertices (or nodes) in the graph, and E represents the number of edges (connections between the vertices).
Step 3: Realize that for each vertex, we need to store a list of its edges. This means we will have to store information for all V vertices.
Step 4: For each edge in the graph, we need to store it in the adjacency list. This means we will also have to account for all E edges.
Step 5: Combine the storage requirements. The total space needed is the sum of the space for vertices (O(V)) and the space for edges (O(E)).
Step 6: Conclude that the overall space complexity of a graph represented by an adjacency list is O(V + E).
