生成指定固定度序列的圖的 C++ 程式
這個 C++ 程式表示針對給定的度序列生成一個無向圖。此演算法的時間複雜度為 O(v*v),並且不包括自邊和多重邊。
演算法
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
示例程式碼
#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); }
輸出
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
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