इस कार्यक्रम में यादृच्छिक शिखर और किनारों के लिए एक यादृच्छिक ग्राफ उत्पन्न होता है। इस कार्यक्रम की समय जटिलता ओ (वी * ई) है। जहाँ v शीर्षों की संख्या है और e किनारों की संख्या है।
एल्गोरिदम
Begin Develop a function GenRandomGraphs(), with ‘e’ as the number of edges and ‘v’ as the number of vertexes, in the argument list. Assign random values to the number of vertex and edges of the graph, using rand() function. Print the connections of each vertex, irrespective of the direction. Print “Isolated vertex” for the vertex having no degree. End
उदाहरण
#include<iostream>
#include<stdlib.h>
using namespace std;
void GenRandomGraphs(int NOEdge, int NOVertex)
{
int i, j, edge[NOEdge][2], count;
i = 0;
//Assign random values to the number of vertex and edges
of the graph, Using rand().
while(i < NOEdge)
{
edge[i][0] = rand()%NOVertex+1;
edge[i][1] = rand()%NOVertex+1;
//Print the connections of each vertex, irrespective of
the direction.
if(edge[i][0] == edge[i][1])
continue;
else
{
for(j = 0; j < i; j++)
{
if((edge[i][0] == edge[j][0] &&
edge[i][1] == edge[j][1]) || (edge[i][0] == edge[j][1] &&
edge[i][1] == edge[j][0]))
i--;
}
}i
++;
}
cout<<"\nThe generated random graph is: ";
for(i = 0; i < NOVertex; i++)
{
count = 0;
cout<<"\n\t"<<i+1<<"-> { ";
for(j = 0; j < NOEdge; j++)
{
if(edge[j][0] == i+1)
{
cout<<edge[j][1]<<" ";
count++;
} else if(edge[j][1] == i+1)
{
cout<<edge[j][0]<<" ";
count++;
} else if(j== NOEdge-1 && count == 0)
cout<<"Isolated Vertex!"; //Print “Isolated vertex” for the vertex having no degree.
}
cout<<" }";
}
}
int main()
{
int i, e, n;
cout<<"Random graph generation: ";
n= 7 + rand()%6;
cout<<"\nThe graph has "<<n<<" vertices";
e = rand()%((n*(n-1))/2);
cout<<"\nand has "<<e<<" edges.";
GenRandomGraphs(e, n);
} आउटपुट
Random graph generation:
The graph has 8 vertices
and has 18 edges.
The generated random graph is:
1-> { 5 4 2 }
2-> { 4 8 6 3 1 5 }
3-> { 5 4 7 2 }
4-> { 2 3 7 1 8 5 }
5-> { 3 1 7 4 2 8 }
6-> { 2 8 7 }
7-> { 4 3 5 6 }
8-> { 2 6 4 5 }