//环境:vs2010
//MGraph.h
#ifndef MGraph_H //定义头文件
#define MGraph_H
const int MaxSize = 10; //图中最多顶点个数
template <class DataType>
class MGraph
{
public:
MGraph(DataType a[ ], int n, int e); //构造函数,建立具有n个顶点e条边的图
~MGraph( ) { } //析构函数为空
void DFSTraverse(int v); //深度优先遍历图
void BFSTraverse(int v); //广度优先遍历图
private:
DataType vertex[MaxSize]; //存放图中顶点的数组
int arc[MaxSize][MaxSize]; //存放图中边的数组
int vertexNum, arcNum; //图的顶点数和边数
};
#endif
//MGraph.cpp
#include <iostream>
using namespace std;
#include "MGraph.h" //引入头文件
template <class DataType>
MGraph<DataType>::MGraph(DataType a[ ], int n, int e)
{
int i, j;
vertexNum=n; arcNum=e;
for (i=0; i<vertexNum; i++)
vertex[i]=a[i];
for (i=0; i<vertexNum; i++)
for (j=0; j<vertexNum; j++)
arc[i][j]=0;
for (int k=0; k<arcNum; k++)
{
cout<<"请输入边的两个顶点的序号:";
cin>>i;
cin>>j;
arc[i][j]=1; arc[j][i]=1;
}
}
template <class DataType>
void MGraph<DataType>::DFSTraverse(int v)
{
cout << vertex[v]; visited[v] = 1;
for (int j = 0; j < vertexNum; j++)
if (arc[v][j] == 1 && visited[j]==0)
DFSTraverse(j);
}
template <class DataType>
void MGraph<DataType>::BFSTraverse(int v)
{
int Q[MaxSize];
int front = -1, rear = -1;int k; //初始化队列,假设队列采用顺序存储且不会发生溢出
cout << vertex[v]; visited[v] = 1; Q[++rear] = v; //被访问顶点入队
while (front != rear) //当队列非空时
{
k= Q[++front]; //将队头元素出队并送到v中
for (int j = 0; j < vertexNum; j++)
if (arc[k][j] == 1 && visited[j] == 0 ) {
cout << vertex[j];
visited[j] = 1;
Q[++rear] = j;
}
}
}
//MGraphmain.cpp
#include <iostream>
using namespace std;
#include "MGraph.cpp" //引用graph.cpp文件
int visited[MaxSize]={0};
int main( )
{
char ch[]={'A','B','C','D','E'};
MGraph<char> MG(ch, 5, 6);
for (int i=0; i<MaxSize; i++)
visited[i]=0;
cout<<"深度优先遍历序列是:";
MG.DFSTraverse(1);
cout<<endl;
for (int i=0; i<MaxSize; i++)
visited[i]=0;
cout<<"广度优先遍历序列是:";
MG.BFSTraverse(0);
cout<<endl;
return 0;
}