C ++程序在图中找到两个节点之间的路径
在此程序中,我们可以通过在给定图上使用DFS来找出两个节点之间是否存在路径。
算法
Begin function isReach() is a recursive function to check whether d is reachable to s : A) 将所有顶点标记为未访问。 B) 将当前节点标记为已访问并使其入队,它将用于获取顶点的所有相邻顶点 C) Dequeue a vertex from queue and print it D) Get all adjacent vertices of the dequeued vertex s E) 如果尚未访问相邻对象,则将其标记为已访问并排队 F)如果此相邻节点是目标节点,则返回true,否则继续执行BFS- End
示例
#include <iostream> #include <list> using namespace std; class G { int n; list<int> *adj; public: //功能声明 G(int n); void addEd(int v, int u); bool isReach(int s, int d); }; G::G(int n) { this->n = n; adj = new list<int> [n]; } void G::addEd(int v, int u) //add edges to the graph { adj[v].push_back(u); } bool G::isReach(int s, int d) { if (s == d) return true; //将所有顶点标记为未访问。 bool *visited = new bool[n]; for (int i = 0; i < n; i++) visited[i] = false; list<int> queue; //将当前节点标记为已访问并使其入队,它将用于获取顶点的所有相邻顶点 visited[s] = true; queue.push_back(s); list<int>::iterator i; while (!queue.empty()) { s = queue.front(); queue.pop_front(); //Dequeue a vertex from queue and print it //如果尚未访问相邻对象,则将其标记为已访问并排队 for (i = adj[s].begin(); i != adj[s].end(); ++i) { if (*i == d) return true; //如果此相邻节点是目标节点,则返回true,否则继续执行BFS- if (!visited[*i]) { visited[*i] = true; queue.push_back(*i); } } } return false; } int main() { G g(4); g.addEd(1, 3); g.addEd(0, 1); g.addEd(2, 3); g.addEd(1, 0); g.addEd(2, 1); g.addEd(3, 1); cout << "Enter the source and destination vertices: (0-3)"; int a, b; cin >> a >> b; if (g.isReach(a, b)) cout << "\nThere is a path from " << a << " to " << b; else cout << "\nThere is no path from " << a << " to " << b; int t; t = a; a = b; b = t; if (g.isReach(a, b)) cout << "\nThere is a path from " << a << " to " << b; else cout << "\nThere is no path from " << a << " to " << b; return 0; }
输出结果
Enter the source and destination vertices: (0-3) There is a path from 3 to 1 There is a path from 1 to 3