Adjacency list requires memory of the order of
Question
Adjacency list requires memory of the order of
Solution
The adjacency list representation of a graph requires memory of the order of O(V + E), where V is the number of vertices and E is the number of edges in the graph.
Here's the step by step explanation:
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In an adjacency list, we maintain a master list of all the vertices in the Graph object and each vertex object in the graph maintains a list of the other vertices that it is connected to.
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The space complexity of this representation depends on the number of vertices and edges present in the graph.
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For each vertex, we store its adjacent vertices or edges. Therefore, if we have V vertices and E edges, we need to store them all.
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Hence, the space complexity of the adjacency list representation of a graph is O(V + E).
Similar Questions
Adjacency list requires memory of the order of2 pointsθ(V-E)θ(VE)θ(V/E)θ(V+E)
vector < vector < int >> printAdjacency(int n, int m, vector < vector < int >> & edges) { // Write your code here. vector < vector < int>> adj_list[n+1]; for (int i=0; i<m; i++){ adj_list[edges[i][0]].push_back(edges[i][1]); adj_list[edges[i][1]].push_back(edges[i][0]); } return adj_list;}
Problem StatementImplement a Graph using an Adjacency List. Given the number of vertices (V) and the edges, create an undirected graph using an adjacency list. Print the adjacency list of each vertex.Input format :The first line of input consists of an integer V, representing the number of vertices.The second line consists of an integer E, representing the number of edges.The following E lines consist of the edge information.Output format :The output prints the adjacency list of each vertex.Refer to the sample output for formatting specifications.Code constraints :1 ≤ V ≤ 1001 ≤ E ≤ 100Sample test cases :Input 1 :570 10 41 21 31 42 33 4Output 1 :Adjacency list of vertex 0head -> 1-> 4Adjacency list of vertex 1head -> 0-> 2-> 3-> 4Adjacency list of vertex 2head -> 1-> 3Adjacency list of vertex 3head -> 1-> 2-> 4Adjacency list of vertex 4head -> 0-> 1-> 3Input 2 :671 31 41 52 32 42 54 6Output 2 :Adjacency list of vertex 0head Adjacency list of vertex 1head -> 3-> 4-> 5Adjacency list of vertex 2head -> 3-> 4-> 5Adjacency list of vertex 3head -> 1-> 2Adjacency list of vertex 4head -> 1-> 2-> 6Adjacency list of vertex 5head -> 1-> 2Note :The program will be evaluated only after the “Submit Code” is clicked.Extra spaces and new line characters in the program output will result in the failure of the test case.
Consider the following adjacency matrix defined on the set X = {10, 20, 30, 40}:1001010000100101Which of the following option correctly represents the Relation defined by the above adjacency matrix?Question 11Answera.R = {(10, 10), (20, 20), (30, 40), (40, 30), (10, 40), (40, 20)}b.R = {(10, 40), (40, 20), (40, 40), (30, 30), (10, 10), (20, 20)}c.R = {(10, 10), (20, 20), (40, 40), (40, 30), (10, 40), (40, 20)}d.R = {(10, 10), (20, 20), (30, 40), (40, 30), (40, 10), (40, 20)}
Consider the below-directed graph and choose the right option for its representation of the adjacency matrix.OptionsBothNone
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