यह एक सी ++ प्रोग्राम है जो दिए गए डिग्री अनुक्रम के लिए एक अप्रत्यक्ष ग्राफ का प्रतिनिधित्व करता है। इस एल्गोरिथम की समय जटिलता O(v*v) है और इसमें सेल्फ़-एज और एकाधिक किनारे शामिल नहीं हैं।
एल्गोरिदम
Begin To create the graph, Create the first loop to connect each vertex ‘i’. Create second nested loop to connect the vertex ‘i’ to every valid vertex ‘j’, next to it. If the degree of vertex ‘i’ and ‘j’ are more than zero, then connect them. Print the adjacency matrix using PrintMatrix(). End
उदाहरण कोड
#include<iostream> #include<iomanip> using namespace std; void PrintMatrix(int matrix[][20], int n) { int i, j; cout<<"\n\n"<<setw(3)<<" "; for(i = 0; i < n; i++) cout<<setw(3)<<"("<<i+1<<")"; cout<<"\n\n"; for(i = 0; i < n; i++) { cout<<setw(4)<<"("<<i+1<<")"; for(j = 0; j < n; j++) { cout<<setw(5)<<matrix[i][j]; } cout<<"\n\n"; } } int main() { int N, i, j, AdjMat[20][20] = {0}; cout<<"Enter the number of vertex in the graph: "; cin>>N; int degseq[N]; for(i = 0; i < N; i++) { cout<<"Enter the degree of "<<i+1<<" vertex: "; cin>>degseq[i]; } for(i = 0; i < N; i++) { for(j = i+1; j < N; j++) { (degseq[i] > 0 && degseq[j] > 0) { degseq[i]--; degseq[j]--; AdjMat[i][j] = 1; AdjMat[j][i] = 1; } } } PrintMatrix(AdjMat, N); }
आउटपुट
Enter the number of vertexes of the graph: 5 Enter the number of edges of the graph: 4 Enter the vertex pair for edge 1 V(1): 2 V(2): 1 Enter the vertex pair for edge 2 V(1): 3 V(2): 2 Enter the vertex pair for edge 3 V(1): 1 V(2): 1 Enter the vertex pair for edge 4 V(1): 3 V(2): 1 (1) (2) (3) (4) (5) (1) 0 1 1 1 1 (2) 1 0 0 1 0 (3) 1 0 0 0 0 (4) 1 1 0 0 1 (5) 1 0 0 1 0