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  • 数据结构实验四:图的表示和实现

    图——邻接矩阵DFS和BFS:图——邻接表的DFS和BFS:
    #include<stdio.h>
    #define INF 65536
    #define max 100
    //邻接矩阵
    typedef struct {
    //    int no;        //编号
        int info;    //权值信息
    }vertex;//顶点
    typedef struct{
        int edge[max][max];
        int v_num,e_num;    //顶点v和边e 
    //    vertex vexs[max];    //顶点信息
    }graph;
    typedef struct node{
        int vetex;//顶点
        struct node * next;
        int info;//权值
    }node;
    typedef struct vnode{
    //    int data;
        node *next;
    }vnode;
    typedef struct {
        vnode list[max];
        int n,e;        //顶点n,边e
    }Agraph;
    void creatg(graph &g){
        int i,j;
        int a[max][6]={
            0,6,1,5,0,0,
            6,0,5,0,0,0,
            1,5,0,5,6,4,
            5,0,5,0,0,2,
            0,0,6,0,0,6,
            0,0,4,2,6,0
        };
        g.v_num=6;
        g.e_num=10;
        for(i=0;i<g.v_num;i++)
            for(j=0;j<g.v_num;j++){
                    if(a[i][j]!=0)
                    g.edge[i][j]=a[i][j];
                    else
                    g.edge[i][j]=INF;
                }
    }
    void dfs(graph &g,int v,int *visit){
        int i;
        visit[v] = 1;
        printf("%2d ->",v+1);
        for(i = 0;i <g.v_num;i++)
            if(visit[i] == 0 && g.edge[v][i]!=INF)
                dfs(g,i,visit);
    }
    void bfs(graph g,int v,int *visit)    //邻接矩阵广度遍历;{
        int i,Queue[max],rear,front;
        visit[v]=1;
        printf("%2d ->",v+1);
        rear=front=0;
        rear=(rear+1)%g.v_num;
        Queue[rear]=v;
        while(rear!=front){
            front=(front+1)%g.v_num;
            for(i=0;i<g.v_num;i++)
                if(visit[i]==0&&g.edge[Queue[front]][i]!=INF)
                {
                    visit[i] = 1;
                    printf("%2d ->",i+1);
                    rear = (rear+1)%g.v_num;
                    Queue[rear] = i;
                }
        }
    }
    //将邻接矩阵转换城邻接表
    void change(graph g,Agraph *&G){
        int i,j,n=g.v_num;
        node *p;
        G=new Agraph;
        for(i=0;i<n;i++)
            G->list[i].next=NULL;
        for(i=0;i<n;i++)
            for(j=n-1;j>=0;j--)
                if(g.edge[i][j]!=0){
                    p=new node;
                    p->vetex=j;
                    p->info=g.edge[i][j];                p->next=G->list[i].next;
                    G->list[i].next=p;
                }
        G->n=n;
        G->e=g.e_num;
    }
    void dfs2(Agraph *G,int v,int *visit){
        node *p;
        visit[v]=1;
        printf("%2d ->",v+1);
        p=G->list[v].next;
        while(p!=NULL){
            if(visit[p->vetex]==0)
                dfs2(G,p->vetex,visit);
            p=p->next;
        }
    }

    void travel(graph &g,Agraph *G){
        int i,visit[max];
        //DFS
        printf("邻接矩阵的深度优先搜索遍历\n");
        for(i=0;i<max;i++)
            visit[i]=0;
        for(i=0;i<g.v_num;i++)
            if(visit[i]==0)
                dfs(g,i,visit);
        printf("\n");
        //BFS
        printf("邻接矩阵的广度优先搜索遍历\n");
        for(i=0;i<g.v_num;i++)
            visit[i]=0;
        for(i=0;i<g.v_num;i++)
            if(visit[i]==0)
                bfs(g,i,visit);
        printf("\n");
        printf("邻接表的深度优先遍历\n");
        for(i=0;i<max;i++)
            visit[i]=0;
        dfs2(G,0,visit);
        printf("\n");
    }
    int main()
    {
        graph g;
        creatg(g);
        Agraph *G;
        change(g,G);
        travel(g,G);
        prim(g,0);
    }
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  • 原文地址:https://www.cnblogs.com/ma6174/p/2313323.html
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