The time complexity of DFS on an undirected graph using adjacent list representation is: Group of answer choices O left parenthesis vertical line V vertical line plus vertical line E vertical line right parenthesis O left parenthesis vertical line V vertical line right parenthesis O left parenthesis vertical line V vertical line squared right parenthesis O left parenthesis log space V right parenthesis
Question
The time complexity of DFS on an undirected graph using adjacent list representation is: Group of answer choices
O left parenthesis vertical line V vertical line plus vertical line E vertical line right parenthesis
O left parenthesis vertical line V vertical line right parenthesis
O left parenthesis vertical line V vertical line squared right parenthesis
O left parenthesis log space V right parenthesis
Solution
The time complexity of Depth-First Search (DFS) on an undirected graph using adjacency list representation is O(|V| + |E|), where |V| is the number of vertices and |E| is the number of edges in the graph.
This is because every vertex and every edge will be explored in the worst case. For each vertex, we are doing a constant amount of work (adding it to the visited set), and for each edge, we are also doing a constant amount of work (checking if it leads to an unvisited node).
Therefore, the correct answer is O(|V| + |E|).
Similar Questions
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Perform a Depth First Traversal of the graph for undirected graphYou are given a connected undirected graph. Perform a Depth First Traversal of the graph.Note: Use a recursive approach to find the DFS traversal of the graph starting from the 0th vertex from left to right according to the graph.Your task:You don't need to read input or print anything. Your task is to complete the function dfsOfGraph() which takes the integer V denoting the number of vertices and adjacency list as input parameters and returns a list containing the DFS traversal of the graph starting from the 0th vertex from left to right according to the graph.Expected Time Complexity: O(V + E)Expected Auxiliary Space: O(V)Constraints:1 ≤ V, E ≤ 104Sample input5 4 0 1 0 2 0 3 2 4Sample outputoutput=0 3 2 4 1
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