有向图的深度/广度优先遍历算法

// 邻接表存储与广度和深度优先算法
#include <iostream> 
using namespace std;

#define MAX_VERTEX_NUM 100

typedef enum {
 DG,DN,UDG,UDN
}GraphKind;

typedef struct EdgeNode {
 int adjvex; // 存储邻接点在顶点中的位置
 struct EdgeNode *nextedge;
 int weight;
}EdgeNode;

typedef struct VexNode {
 char vex;
 EdgeNode *firstedge;
}VexNode;

 

typedef struct {
 VexNode vexs[MAX_VERTEX_NUM];
 int vexnum, edgenum;
 GraphKind kind;
}LGraph;

// 构造有向图的邻接表，顶点数n，边数 e
void CreateDG(LGraph &G, int n, int e) {
 char ch;
 int i, j;
 G.vexnum = n;
 G.edgenum = e;
 // 顶点信息初始化
 for (i = 0; i < n; i++) {
  cin >> ch;
  G.vexs[i].vex = ch;
  G.vexs[i].firstedge = NULL;
 }
 // 边的信息初始化
 for (int k = 0; k < e; k++) {
  cin >> i >> j;
  EdgeNode *p = new EdgeNode;
  p->adjvex = j;
  p->nextedge = G.vexs[i].firstedge;
  G.vexs[i].firstedge = p; // 采用头插法来构建
 }
}

// 有向图的深度优先算法
int visited[MAX_VERTEX_NUM];

void DFS(LGraph &G, int i) {
 visited[i] = 1;
 cout << G.vexs[i].vex << " ";
 int j; // 当前访问的节点信息
 EdgeNode *p;
 p = G.vexs[i].firstedge;
 while (p) {
  j = p->adjvex;
  if (!visited[j]) {
   DFS(G, j);
  }
  p = p->nextedge;
 }
}

void DFS_Traverse(LGraph &G) {

 for (int i = 0; i < G.vexnum; i++) {
  visited[i] = 0;
 }

 for (int i = 0; i < G.vexnum; i++) {
  if (!visited[i]) {
   DFS(G, i);
  }
 }
}

//  有向图的广度优先遍历
const int Queue_Size = 100;

typedef struct circlQueue {
 int *elem;
 int front, rear;
 int queueSize;
}circlQueue;

// 循环队列初始化
void init_circleQueue(circlQueue &Q) {
 Q.elem = new int[Queue_Size];
 Q.front = Q.rear = 0;
 Q.queueSize = Queue_Size;
}

// 入队列
void enterQueue(circlQueue &Q, int x) {
 // 判满
 if ((Q.rear + 1)%Q.queueSize == Q.front) {
  cout << "Queue OverFlow!" << endl;
 }
 Q.elem[Q.rear] = x;
 Q.rear = (Q.rear + 1) % Q.queueSize;
}

// 出队列
void outQueue(circlQueue &Q, int &e) {
 // 判空
 if (Q.front == Q.rear) {
  cout << "Queue Empty!" << endl;
 }
 e = Q.elem[Q.front];
 Q.front = (Q.front + 1) % Q.queueSize;
}

// 广度优先
void BFS_Traverse(LGraph &G) {
 for (int i = 0; i < G.vexnum; i++)
  visited[i] = 0;

 circlQueue Q;
 init_circleQueue(Q);
 int v1,v2;
 for (int i = 0; i < G.vexnum; i++) {
  if (!visited[i]) {
   visited[i] = 1;
   cout << G.vexs[i].vex << " ";
   enterQueue(Q, i);
   // 队列不空
   while (Q.rear != Q.front) {
    outQueue(Q, v1);
    EdgeNode *p;
    p = G.vexs[v1].firstedge;
    while(p){
     v2 = p->adjvex;
     if (!visited[v2]) {
      cout << G.vexs[v2].vex << " ";
      visited[v2] = 1;
      enterQueue(Q, v2);
     }
     p = p->nextedge;
    }
   }
  }
 }
}

int main() {
 LGraph G;
 int n, e;
 cout << "请输入顶点数目：" << endl;
 cin >> n;
 cout << "请输入边的数目：" << endl;
 cin >> e;
 CreateDG(G, n, e);
 cout << "深度优先搜索结果：" << endl;
 DFS_Traverse(G);
 cout << endl;
 cout << "广度优先搜索结果：" << endl;
 BFS_Traverse(G);

 system("pause");
 return 0;

}