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weiyuqing committed 2023-07-18 23:13:36 +08:00
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//算法6.4 深度优先搜索遍历非连通图
#include <iostream>
using namespace std;
#define MVNum 100 //最大顶点数
typedef char VerTexType; //假设顶点的数据类型为字符型
typedef int ArcType; //假设边的权值类型为整型
//-------------图的邻接矩阵-----------------
typedef struct{
VerTexType vexs[MVNum]; //顶点表
ArcType arcs[MVNum][MVNum]; //邻接矩阵
int vexnum,arcnum; //图的当前点数和边数
}Graph;
bool visited[MVNum]; //访问标志数组,其初值为"false"
int FirstAdjVex(Graph G , int v); //返回v的第一个邻接点
int NextAdjVex(Graph G , int v , int w); //返回v相对于w的下一个邻接点
int LocateVex(Graph G , VerTexType v){
//确定点v在G中的位置
for(int i = 0; i < G.vexnum; ++i)
if(G.vexs[i] == v)
return i;
return -1;
}//LocateVex
void CreateUDN(Graph &G){
//采用邻接矩阵表示法,创建无向网G
int i , j , k;
cout <<"请输入总顶点数,总边数,以空格隔开:";
cin >> G.vexnum >> G.arcnum; //输入总顶点数,总边数
cout << endl;
cout << "输入点的名称,如a" << endl;
for(i = 0; i < G.vexnum; ++i){
cout << "请输入第" << (i+1) << "个点的名称:";
cin >> G.vexs[i]; //依次输入点的信息
}
cout << endl;
for(i = 0; i < G.vexnum; ++i) //初始化邻接矩阵,边的权值均置为极大值MaxInt
for(j = 0; j < G.vexnum; ++j)
G.arcs[i][j] = 0;
cout << "输入边依附的顶点,如a b" << endl;
for(k = 0; k < G.arcnum;++k){ //构造邻接矩阵
VerTexType v1 , v2;
cout << "请输入第" << (k + 1) << "条边依附的顶点:";
cin >> v1 >> v2; //输入一条边依附的顶点及权值
i = LocateVex(G, v1); j = LocateVex(G, v2); //确定v1和v2在G中的位置,即顶点数组的下标
G.arcs[j][i] = G.arcs[i][j] = 1; //置<v1, v2>的对称边<v2, v1>的权值为w
}//for
}//CreateUDN
void DFS(Graph G, int v){
//从第v个顶点出发递归地深度优先遍历图G
cout << G.vexs[v] << " "; visited[v] = true; //访问第v个顶点,并置访问标志数组相应分量值为true
int w;
for(w = FirstAdjVex(G, v); w >= 0; w = NextAdjVex(G, v, w))
//依次检查v的所有邻接点w ,FirstAdjVex(G, v)表示v的第一个邻接点
//NextAdjVex(G, v, w)表示v相对于w的下一个邻接点,w≥0表示存在邻接点
if(!visited[w]) DFS(G, w); //对v的尚未访问的邻接顶点w递归调用DFS
}//DFS
void DFSTraverse(Graph G){
//对非连通图G做深度优先遍历
int v;
for(v = 0; v < G.vexnum; ++v) visited[v] = false; //访问标志数组初始化
for(v = 0; v < G.vexnum; ++v) //循环调用算法6.3
if(!visited[v]) DFS(G, v); //对尚未访问的顶点调用DFS
}//DFSTraverse
int FirstAdjVex(Graph G , int v){
//返回v的第一个邻接点
int i;
for(i = 0 ; i < G.vexnum ; ++i){
if(G.arcs[v][i] == 1 && visited[i] == false)
return i;
}
return -1;
}//FirstAdjVex
int NextAdjVex(Graph G , int v , int w){
//返回v相对于w的下一个邻接点
int i;
for(i = w ; i < G.vexnum ; ++i){
if(G.arcs[v][i] == 1 && visited[i] == false)
return i;
}
return -1;
}//NextAdjVex
int main(){
cout << "************算法6.4 深度优先搜索遍历非连通图**************" << endl << endl;
Graph G;
CreateUDN(G);
cout << endl;
cout << "无向图G创建完成!" << endl << endl;
cout << "深度优先搜索遍历非连通图结果:" << endl;
DFSTraverse(G);
cout <<endl;
return 0;
}//main