Space complexity for an adjacency list of an undirected graph having large values of V (vertices) and E (edges) is ___________?Group of answer choicesO(E+V)O(E)O(V*V)O(V)Next
Question
Space complexity for an adjacency list of an undirected graph having large values of V (vertices) and E (edges) is ___________?Group of answer choicesO(E+V)O(E)O(V*V)O(V)Next
Solution
The space complexity for an adjacency list of an undirected graph having large values of V (vertices) and E (edges) is O(E+V).
Here's why:
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An adjacency list is a way to represent a graph where an array of lists is used. The size of the array is equal to the number of vertices (V) in the graph.
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Each element of the array is a list, which holds all the vertices that the vertex is adjacent to. In the worst-case scenario, a vertex could be connected to all other vertices, hence the number of edges (E) comes into play.
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Therefore, the space required to store the adjacency list is proportional to the number of vertices (V) plus the number of edges (E), hence the space complexity is O(E+V).
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