C ++程序来查找图形的传递闭合
如果给出了有向图，则对于给定图中的所有顶点对(i,j)，确定一个顶点j是否可以从另一个顶点i到达。可达到意味着从顶点i到j有一条路径。此可及性矩阵称为图的传递闭合。Warshall算法通常用于查找给定图G的传递闭包。这是一个实现该算法的C++程序。
算法
Begin
1. Take maximum number of nodes as input.
2. For Label the nodes as a, b, c…..
3. To check if there any edge present between the nodes
make a for loop:
//a的ASCII码是97-
for i = 97 to (97 + n_nodes)-1
for j = 97 to (97 + n_nodes)-1
If edge is present do,
adj[i - 97][j - 97] = 1
else
adj[i - 97][j - 97] = 0
End loop
End loop.
4. To print the transitive closure of graph:
for i = 0 to n_nodes-1
c = 97 + i
End loop.
for i = 0 to n_nodes-1
c = 97 + i
for j = 0 to n_nodes-1
Print adj[I][j]
End loop
End loop
End示例
#include<iostream>using namespace std;const int n_nodes = 20;int main(){ int n_nodes, k, n; char i, j, res, c; int adj[10][10], path[10][10]; cout << "\n\tMaximum number of nodes in the graph :"; cin >> n; n_nodes = n; cout << "\nEnter 'y' for 'YES' and 'n' for 'NO' \n"; for (i = 97; i < 97 + n_nodes; i++) for (j = 97; j < 97 + n_nodes; j++) { cout << "\n\tIs there an edge from " << i << " to " << j << " ? "; cin >> res; if (res == 'y') adj[i - 97][j - 97] = 1; else adj[i - 97][j - 97] = 0; } cout << "\n\nTransitive Closure of the Graph:\n"; cout << "\n\t\t\t "; for (i = 0; i < n_nodes; i++) { c = 97 + i; cout << c << " "; } cout << "\n\n"; for (int i = 0; i < n_nodes; i++) { c = 97 + i; cout << "\t\t\t" << c << " "; for (int j = 0; j < n_nodes; j++) cout << adj[i][j] << " "; cout << "\n"; } return 0;}输出结果
Maximum number of nodes in the graph :4 Enter 'y' for 'YES' and 'n' for 'NO' Is there an edge from a to a ? y Is there an edge from a to b ?y Is there an edge from a to c ? n Is there an edge from a to d ? n Is there an edge from b to a ? y Is there an edge from b to b ? n Is there an edge from b to c ? y Is there an edge from b to d ? n Is there an edge from c to a ? y Is there an edge from c to b ? n Is there an edge from c to c ? n Is there an edge from c to d ? n Is there an edge from d to a ? y Is there an edge from d to b ? n Is there an edge from d to c ? y Is there an edge from d to d ? n Transitive Closure of the Graph: a b c d a 1 1 0 0 b 1 0 1 0 c 1 0 0 0 d 1 0 1 0