โปรแกรม C++ เพื่อทำการระบายสีขอบบนกราฟที่สมบูรณ์

กราฟที่สมบูรณ์คือกราฟที่มีขอบเชื่อมระหว่างจุดยอดคู่ใดๆ นี่คือโปรแกรม C++ สำหรับการลงสีขอบบนกราฟที่สมบูรณ์

อัลกอริทึม

Begin
   Take the input of the number of vertices ‘n’.
   Construct a complete graph using e=n*(n-1)/2 edges, in ed[][].
   Function EdgeColor() is used to Color the graph edges.
   A) Assign color to current edge as c i.e. 1 initially.
   B) If the same color is occupied by any of the adjacent edges, then
      discard this color and go to flag again and try next color.
   C) Print the color for each edge.
End

ตัวอย่าง

#include<iostream>
using namespace std;
void EdgeColor(int ed[][3], int e) {
   int i, c, j;
   for(i = 0; i < e; i++) {
      c = 1; //assign color to current edge as c i.e. 1 initially.
      flag:
         ed[i][2] = c;
         //If the same color is occupied by any of the adjacent edges, then
         discard this color and go to flag again and try next color.
         for(j = 0; j < e; j++) {
            if(j == i)
               continue;
               if(ed[j][0] == ed[i][0] || ed[j][0] == ed[i][1] || ed[j][1] == ed[i][0] || ed[j][1] == ed[i][1]) {
                  if(ed[j][2] == ed[i][2]) {
                     c++;
                     goto flag;
                  }
               }
         }
   }
}
int main() {
   int i, n, e, j, cnt = 0;
   cout<<"Enter the number of vertexes for the complete graph: ";
   cin>>n;
   e = (n*(n-1))/2;
   int ed[e][3];
   for(i = 1; i <= n; i++) {
      for(j = i+1; j <= n; j++) {
         ed[cnt][0] = i;
         ed[cnt][1] = j;
         ed[cnt][2] = -1;
         cnt++;
      }
   }
   EdgeColor(ed , e);
   for(i = 0; i < e; i++)
      cout<<"\nThe color of the edge between vertex
      n1):"<<ed[i][0]<<" and n(2):"<<ed[i][1]<<" is: color"<<ed[i][2]<<".";
}

ผลลัพธ์

Enter the number of vertexes for the complete graph: 4
The color of the edge between vertex n(1):1 and n(2):2 is: color1.
The color of the edge between vertex n(1):1 and n(2):3 is: color2.
The color of the edge between vertex n(1):1 and n(2):4 is: color3.
The color of the edge between vertex n(1):2 and n(2):3 is: color3.
The color of the edge between vertex n(1):2 and n(2):4 is: color2.
The color of the edge between vertex n(1):3 and n(2):4 is: color1.