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图的深度和广度遍历(邻接矩阵)

时间:2016-05-12 15:43:06      阅读:220      评论:0      收藏:0      [点我收藏+]

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这里我采用邻接矩阵的存储方式对图进行遍历
#include <iostream>
#include <queue>
#define INFINITY 100
#define MAXNODE 100
#define OK 1
using namespace std;
typedef char VertexType;
int vis[MAXNODE];
typedef struct
{
    int adj;
} ArcType;
typedef struct
{
    VertexType vertexs[MAXNODE];
    ArcType arc[MAXNODE][MAXNODE];
    int vexnum,arcnum;
} GraphType;
int LocateVex(GraphType *G,VertexType v)
{
    int i=-1;
    for(int k=0; k<G->vexnum; k++)
    {
        if(G->vertexs[k]==v)
        {
            i=k;
            break;
        }
    }
    return i;
}
int CreatDN(GraphType *G) //创建一个无向图
{
    cout<<"输入图的顶点数:";
    cin>>G->vexnum;
    cout<<"输入图的边数:";
    cin>>G->arcnum;
    for(int i=0; i<G->vexnum; i++)
    {
        for(int j=0; j<G->vexnum; j++)
        {
            G->arc[i][j].adj=0;
        }

    }
    cout<<"输入图的顶点:";
    for(int i=0; i<G->vexnum; i++)
    {
        cin>>G->vertexs[i];
    }
    cout<<"输入弧的顶点:";
    VertexType v1,v2;
    int locate1,locate2;
    for(int i=0; i<G->arcnum; i++)
    {
        cin>>v1>>v2;
        locate1=LocateVex(G,v1);
        locate2=LocateVex(G,v2);
        G->arc[locate1][locate2].adj=1;
        G->arc[locate2][locate1].adj=1;

    }
    return OK;
}
void DFS(GraphType G,int v)  //图的深度遍历
{
    cout<<G.vertexs[v]<<" ";
    vis[v]=1;
    for(int i=0; i<G.vexnum; i++)
    {
        if(!vis[i]&&G.arc[v][i].adj==1)
        {
            DFS(G,i);
        }
    }
}
//int counter;
void DFSTraveGraph(GraphType G)
{
    for(int i=0; i<G.vexnum; i++)
    {
        vis[i]=0;
    }
    for(int i=0; i<G.vexnum; i++)
    {
        if(!vis[i])
        {
            //counter++;  计算连通度
            DFS(G,i);
        }
    }
}
queue<int> q;
void BFS(GraphType G,int v)
{
    cout<<G.vertexs[v]<<" ";
    vis[v]=1;
    q.push(v);
    int cut;
    while(!q.empty())
    {
        cut=q.front();
        q.pop();
        for(int i=0; i<G.vexnum; i++)
        {
            if(!vis[i]&&G.arc[i][cut].adj==1)
            {
                cout<<G.vertexs[i]<<" ";
                vis[i]=1;
                q.push(i);
            }
        }
    }
}
void BFSTraveGraph(GraphType G)  //图的广度遍历
{
    for(int i=0; i<G.vexnum; i++)
    {
        vis[i]=0;
    }
    for(int i=0; i<G.vexnum; i++)
    {
        if(!vis[i])
        {
            BFS(G,i);
        }
    }
}
int main()
{
    GraphType G;
    cout<<"————创建一个无向图————"<<endl;
    CreatDN(&G);
    cout<<"深度优先遍历:"<<endl;
    DFSTraveGraph(G);
    cout<<endl;
    cout<<"广度优先遍历:"<<endl;
    BFSTraveGraph(G);
    cout<<endl;
    //cout<<counter<<endl; 计算该图的连通度
    return 0;
}

图的深度和广度遍历(邻接矩阵)

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原文地址:http://blog.csdn.net/wqy20140101/article/details/51367814

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