C ++程序使用随机边生成来创建随机图
在此程序中,将为随机顶点和边缘生成随机图。该程序的时间复杂度为O(v*e)。其中v是顶点数,e是边数。
算法
Begin
Develop a function GenRandomGraphs(), with ‘e’ as the
number of edges and ‘v’ as the number of vertexes, in the argument list.
为顶点和边的数量分配随机值 of the graph,
using rand() function.
打印每个顶点的连接,而不管 the
direction.
Print “Isolated vertex” for the vertex having no degree.
End示例
#include<iostream>
#include<stdlib.h>
using namespace std;
void GenRandomGraphs(int NOEdge, int NOVertex)
{
int i, j, edge[NOEdge][2], count;
i = 0;
//为顶点和边的数量分配随机值
of the graph, Using rand().
while(i < NOEdge)
{
edge[i][0] = rand()%NOVertex+1;
edge[i][1] = rand()%NOVertex+1;
//打印每个顶点的连接,而不管
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<<"孤立的顶点!"; //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);
}输出结果
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 }
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