//广度优先搜索遍历连通图
#include<iostream>
using namespace std;
#define MVNum 100
#define MAXQSIZE 100
typedef char VerTexType;
typedef int ArcType;
bool visited[MVNum];
typedef struct {
VerTexType vexs[MVNum];
ArcType arcs[MVNum][MVNum];
int vexnum, arcnum;
}Graph;
typedef struct {
ArcType* base;
int front;
int rear;
}sqQueue;
void InitQueue(sqQueue& Q)
{
Q.base = new ArcType[MAXQSIZE];
if (!Q.base)
{
exit(0);
}
Q.front = Q.rear = 0;
}
void EnQueue(sqQueue& Q, ArcType e)
{
if ((Q.rear + 1) % MAXQSIZE == Q.front)
{
return;
}
Q.base[Q.rear] = e;
Q.rear = (Q.rear + 1) % MAXQSIZE;
}
bool QueueEmpty(sqQueue Q)
{
if (Q.rear == Q.front)
{
return true;
}
return false;
}
void DeQueue(sqQueue& Q, ArcType& u)
{
u = Q.base[Q.front];
Q.front = (Q.front + 1) % MAXQSIZE;
}
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)
{
cout << "请输入总顶点数,总边数:";
cin >> G.vexnum >> G.arcnum;
cout << endl;
cout << "请输入点的名称" << endl;
for (int i = 0; i < G.vexnum; i++)
{
cout << "请输入第" << i + 1 << "个点的名称:";
cin >> G.vexs[i];
}
for (int i = 0; i < G.vexnum; i++)
{
for (int j = 0; j < G.vexnum; j++)
{
G.arcs[i][j] = 0;
}
}
cout << endl;
cout << "请输入边依附的顶点" << endl;
for (int k = 0; k < G.arcnum; k++)
{
VerTexType v1, v2;
cout << "请输入第" << k + 1 << "条边依附的顶点:";
cin >> v1 >> v2;
int i = LocateVex(G, v1);
int j = LocateVex(G, v2);
G.arcs[i][j] = G.arcs[j][i] = 1;
}
}
int FirstAdjVex(Graph G, int v)
{
for (int i = 0; i < G.vexnum; i++)
{
if (G.arcs[v][i] == 1 && visited[i] == false)
{
return i;
}
}
return -1;
}
int NextAdjVex(Graph G, int u, int w)
{
for (int i = w; i < G.vexnum; i++)
{
if (G.arcs[u][i] == 1 && visited[i] == false)
{
return i;
}
}
return -1;
}
void BFS(Graph G, int v)
{
sqQueue Q;
ArcType u, w;
cout << G.vexs[v] << " ";
visited[v] = true;
InitQueue(Q);
EnQueue(Q, v);
while (!QueueEmpty(Q))
{
DeQueue(Q, u);
for (w = FirstAdjVex(G, u); w >= 0; w = NextAdjVex(G, u, w))
{
if (!visited[w])
{
cout << G.vexs[w] << " ";
visited[w] = true;
EnQueue(Q, w);
}
}
}
}
int main()
{
cout << "BFS遍历连通图" << endl;
Graph G;
CreateUDN(G);
cout << endl;
cout << "请输入遍历连通图的起始点:";
VerTexType c;
cin >> c;
int i;
for (i = 0; i < G.vexnum; i++)
{
if (c == G.vexs[i])
{
break;
}
}
while (i >= G.vexnum)
{
cout << "该点不存在,请重新输入! " << endl;
cout << "请输入遍历连通图的起始点:";
cin >> c;
for (i = 0; i < G.vexnum; i++)
{
if (c == G.vexs[i])
{
break;
}
}
}
cout << "广度优先搜索遍历连通图结果:" << endl;
BFS(G, i);
return 0;
}