//采用鄰接矩陣表示圖的深度優先搜索遍歷(與深度優先搜索遍歷連通圖的遞歸算法僅僅是DFS的遍歷方式變了)
#include <iostream>
using namespace std;
#define MVNun 100
typedef char VerTexType;
typedef int ArcType;
typedef struct {
VerTexType vexs[MVNun];
ArcType arcs[MVNun][MVNun];
int vexnum, arcnum;
}Graph;
bool visited[MVNun];
int FirstAdjVex(Graph G, int v);
int NextAdjVex(Graph G, int v, int w);
int LocateVex(Graph G, VerTexType v) {
for (int i = 0;i < G.vexnum;++i) {
if (G.vexs[i] == v)
return i;
}
return -1;
}
void CreateUDN(Graph& G) {
int i, j, k;
cout << "請輸入總頂點數,總邊數 , 以空格隔開:";
cin >> G.vexnum >> G.arcnum;
cout << endl;
cout << "輸入點的名稱,如 a:" << endl;
for (i = 0;i < G.vexnum;++i) {
cout << "請輸入第" << (i + 1) << "請輸入第";
cin >> G.vexs[i];
}
cout << endl;
for (i = 0;i < G.vexnum;++i)
for (j = 0;j < G.vexnum;++j)
G.arcs[i][j] = 0;
cout << "輸入邊依附的頂點,如:a b" << endl;
for (k = 0;k < G.arcnum;++k) {
VerTexType v1, v2;
cout << "請輸入第" << (k + 1) << "條邊依附的頂點:";
cin >> v1 >> v2;
i = LocateVex(G, v1);
j = LocateVex(G, v2);
G.arcs[j][i] = G.arcs[i][j] = 1;
}
}
void DFS(Graph G, int v){
int w;
cout << G.vexs[v] << " "; visited[v] = true;
for(w = 0; w < G.vexnum; w++)
if((G.arcs[v][w] != 0)&& (!visited[w])) DFS(G, w);
}
int FirstAdjVex(Graph G, int v) {
int i;
for (i = 0;i < G.vexnum;++i) {
if (G.arcs[v][i] == 1 && visited[i] == false)
return i;
}
return -1;
}
int NextAdjVex(Graph G, int v, int w) {
int i;
for (i = w;i < G.vexnum;++i) {
if (G.arcs[v][i] == 1 && visited[i] == false)
return i;
}
return -1;
}
int main() {
cout << "深度優先搜索遍歷連通圖的遞歸算法";
Graph G;
CreateUDN(G);
cout << endl;
cout << "無向連通圖G創建完成!" << endl;
cout << "請輸入遍歷連通圖的起始點:";
VerTexType c;
cin >> c;
int i;
for (i = 0;i < G.vexnum;++i) {
if (c == G.vexs[i])
break;
}
cout << endl;
while (i >= G.vexnum) {
cout << "該點不存在,請重新輸入!" << endl;
cout << "請輸入遍歷連通圖的起始點:";
cin >> c;
for (i = 0;i < G.vexnum;++i) {
if (c == G.vexs[i]) {
break;
}
}
}
cout << "深度優先搜索遍歷連通圖結果:" << endl;
DFS(G, i);
cout << endl;
return 0;
}