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C++ Program to Generate a Random UnDirected Graph for a Given Number of Edges
This is a C++ program in which we generate a undirected random graph for the given edges ‘e’. This algorithm basically implements on a big network and time complexity of this algorithm is O(log(n)).
Algorithm
Begin Function GenerateRandomGraphs(), has ‘e’ as the number edges in the argument list. Initialize i = 0 while(i < e) edge[i][0] = rand()%N+1 edge[i][1] = rand()%N+1 Increment I; For i = 0 to N-1 Initialize count = 0 For j = 0 to e-1 if(edge[j][0] == i+1) Print edge[j][1] Increase count else if(edge[j][1] == i+1) Print edge[j][0] Increase count else if(j == e-1 && count == 0) Print Isolated Vertex End
Example
#include<iostream>
#include<stdlib.h>
#define N 10
using namespace std;
void GenerateRandomGraphs(int e) {
int i, j, edge[e][2], count;
i = 0;
// generate a connection between two random numbers, for //sample a small case, limit the number of vertex to 10.
while(i < e) {
edge[i][0] = rand()%N+1;
edge[i][1] = rand()%N+1;
i++;
}
//Print all the connection of each vertex, irrespective of the //direction.
cout<<"\nThe generated random graph is: ";
for(i = 0; i < N; i++) {
count = 0;
cout<<"\n\t"<<i+1<<"-> { ";
for(j = 0; j < e; j++) {
if(edge[j][0] == i+1) {
cout<<edge[j][1]<<" ";
count++;
}
else if(edge[j][1] == i+1) {
cout<<edge[j][0]<<" ";
count++;
}
//Print “Isolated vertex” for the vertex having zero degree.
else if(j == e-1 && count == 0)
cout<<"Isolated Vertex!";
}
cout<<" }";
}
}
int main() {
int n, i ,e;
cout<<"Enter the number of edges for the random graphs: ";
cin>>e;
GenerateRandomGraphs(e);
}Output
Enter the number of edges for the random graphs: 10
The generated random graph is:
1-> { 10 7 }
2-> { 10 }
3-> { 7 8 7 }
4-> { 7 6 7 }
5-> { Isolated Vertex! }
6-> { 8 4 }
7-> { 4 3 4 1 3 }
8-> { 6 3 }
9-> { Isolated Vertex! }
10-> { 2 1 }
Updated on: 30-Jul-2019
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