C ++程序为给定的固定角度序列生成图
这是一个C++程序,表示给定度数序列的无向图。该算法的时间复杂度为O(v*v),并且不包括自边缘和多个边缘。
算法
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
范例程式码
#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); }
输出结果
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