//1圖的鄰接矩陣表示法和鄰接表建立無向圖存儲
#include<iostream>
using namespace std;
#define//最大頂點數
//1.1圖的鄰接矩陣表示法建立無向圖存儲
#define//無窮
typedef char VerType;//資料類型
typedef int ArcType;//權值類型
//圖結構類型
typedef struct {
VerType v[MaxNum];//頂點表
ArcType a[MaxNum][MaxNum];//鄰接矩陣
int vernum, arcnum; //點數,邊數
}AMGraph;
//定位
int locate(AMGraph G, VerType v1) {
for (int i = 0; i < G.vernum; i++) {
if (G.v[i] == v1)
return i;
}
return -1;
}
//建立無向圖
bool createUDN(AMGraph &G) {
cout << "Please input the vernum and arcnum" << endl;
cin >> G.vernum >> G.arcnum;
int i,j,p,q;
VerType v1, v2;
ArcType w;
//初始化點的名字
cout << "Please input the name of vernum in order " << endl;
for (i = 0; i < G.vernum; i++) cin >> G.v[i];
//初始化鄰接矩陣
for (i = 0; i < G.vernum; i++) {
for (j = 0; j < G.vernum; j++) {
if (i != j)
G.a[i][j] = MaxInt;
else
G.a[i][j] = 0;
}
}
//開始操作,構造鄰接表
cout << "Please input arcnum graph " << endl;
for (i = 0; i < G.arcnum; i++) {
cin >> v1 >> v2 >> w;
p = locate(G, v1); q = locate(G, v2);
G.a[p][q] = w;
G.a[q][p] = G.a[p][q];
}
return true;
}
void show(AMGraph G) {
int i, j;
for (i = 0; i < G.vernum; i++) {
for (j = 0; j < G.vernum; j++) {
if(G.a[i][j]==MaxInt) printf("INF\t");
else printf("%-3d\t", G.a[i][j]);
}
cout << endl;
}
}
bool visited[MaxNum] = { false };
//1.深度優先搜尋
void Dfs_AM(AMGraph G, int v) {//從第v個
cout << G.v[v] << " ";
visited[v] = true;
for (int w = 0; w < G.vernum; w++) {
if ((G.a[v][w] != 0 )&& (G.a[v][w] != MaxInt) && (!visited[w])) {//表示是為未被通路過的鄰接點
Dfs_AM(G, w);
}
}
}
//隊的結構
typedef int QElemType;
typedef struct QNode {
QElemType node;
struct QNode *next;
}QNode, *QueuePtr;
typedef struct {
QueuePtr front, rear;
}LinkQueue;
//1.初始化有帶頭結點的隊
bool initQueue(LinkQueue &L) {
L.front = L.rear = new QNode;
L.front->next = NULL;
return true;
}
//2.判空
bool isEmpty(LinkQueue L) {
if (L.front == L.rear) return true;
else return false;
}
//3.入隊
bool EnQueue(LinkQueue &L, QElemType e) {
QNode * p = new QNode;
p->node = e;
p->next = NULL;
L.rear->next = p;
L.rear = p;
return true;
}
//4.出隊
bool DeQueue(LinkQueue&L, QElemType &node) {
if (isEmpty(L))
return false;
QNode * temp = L.front->next;//從首元結點開始出去
node = temp->node;
L.front->next = temp->next;
//隊最後一出隊
if (L.rear == temp) {
L.rear = L.front;
}
delete temp;
temp = NULL;
return true;
}
//廣度搜尋
int FirstAdjVex(AMGraph G, int u) {
for (int i = 0; i < G.vernum; i++) {
if (G.a[u][i] != 0 && G.a[u][i] != MaxInt) {
return i;
}
}
return -1;
}
int NextAdjVex(AMGraph G, int u, int w) {
for (int i = w+1; i < G.vernum; i++) {
if (G.a[u][i] != 0 && G.a[u][i] != MaxInt) {
return i;
}
}
return -1;
}
void BFS(AMGraph G, int v) {
LinkQueue L;
initQueue(L);
EnQueue(L, v);
visited[v] = true;
cout << G.v[v] << " ";
while (!isEmpty(L)) {
DeQueue(L,v);
for (int w = FirstAdjVex(G, v); w >= 0; w = NextAdjVex(G, v, w)) {
if (!visited[w]) {
cout << G.v[w]<<" ";
EnQueue(L, w); visited[w] = true;
}
}
}
}
int main() {
AMGraph G;
createUDN(G);
show(G);
char ch;
cout << "Please input the value of initial point" << endl;
cin >> ch;
int v = locate(G, ch);
cout << "深度搜尋" << endl;
Dfs_AM(G, v); cout << endl;
memset(visited, false, sizeof(visited));
cout << "廣度搜尋" << endl;
BFS(G, v);
}