AOV网络拓扑排序

这个算法，主要是为输出一个无环图的拓扑序列

算法思想：

主要依赖一个栈，用来存放没有入度的节点，每次读取栈顶元素，并将栈顶元素的后继节点入度减一，如果再次出现入度为零的节点，就加入到栈中。参考《大话数据结构》，写下下面完整代码，并发现，其中程序的进行，出现错误。v6执行完，应该执行v9,因为此时v9是站顶元素，并不是v0.

算法流程：

int topGraph(graph g){
    EdgeNode *e;
    int i,k,gettop;
    int top = 0 ;
    int count = 0;
    int *stack;
    stack = (int *)malloc(g->numVertexes * sizeof(int));
    for(i=0;i<g->numVertexes;i++){ 
        if(g->headlist[i].in == 0) //把入度为0的，即没有入度的点入栈
            stack[++top] = i;
    }
    while(top){
        gettop = stack[top--];
        printf("%d ",gettop);
        count++;
        for(e = g->headlist[gettop].fnode; e ; e=e->next){ //一次遍历链表，减少各个子节点的入度
            k = e->data;
            if(!(--g->headlist[k].in))
                stack[++top] = k;
        }
    }
    if(count < g->numVertexes)
        return ERROR;
    else
        return OK;
}

全部代码：

#include <stdio.h>
#include <stdlib.h>
#define MAX 14
#define ERROR 1
#define OK 0
typedef struct edgeNode{
    int data;
    struct edgeNode *next;
}EdgeNode;
typedef struct headNode{
    int in;
    int data;
    EdgeNode *fnode;
}HeadNode,HeadList[MAX];
typedef struct{
    HeadList headlist;
    int numEdges,numVertexes;
}Graph,*graph;

void initGraph(graph g);
int inputInfo(graph g,int tar,int in,int data,int first);
void printGraph(graph g);
int topGraph(graph g);
int main(){
    Graph *g = (Graph *)malloc(sizeof(Graph));
    initGraph(g);
    printGraph(g);

    if(topGraph(g) == ERROR)
        printf("有环路！\n");
    else
        printf("没有环路！\n");

    free(g);
    getchar();
    return 0;
}
int topGraph(graph g){
    EdgeNode *e;
    int i,k,gettop;
    int top = 0 ;
    int count = 0;
    int *stack;
    stack = (int *)malloc(g->numVertexes * sizeof(int));
    for(i=0;i<g->numVertexes;i++){ 
        if(g->headlist[i].in == 0) //把入度为0的，即没有入度的点入栈
            stack[++top] = i;
    }
    while(top){
        gettop = stack[top--];
        printf("%d ",gettop);
        count++;
        for(e = g->headlist[gettop].fnode; e ; e=e->next){ //一次遍历链表，减少各个子节点的入度
            k = e->data;
            if(!(--g->headlist[k].in))
                stack[++top] = k;
        }
    }
    if(count < g->numVertexes)
        return ERROR;
    else
        return OK;
}
void printGraph(graph g){
    int i;
    printf("vertex:%d,edges:%d\n",g->numVertexes,g->numEdges);
    EdgeNode *e = (EdgeNode *)malloc(sizeof(EdgeNode));
    for(i=0;i<MAX;i++){
        printf("[in:%d]%d",g->headlist[i].in,g->headlist[i].data);    
        e = g->headlist[i].fnode;
        while(e != NULL){    
            printf("->%d",e->data);
            e = e->next;
        }    
        printf("\n");
    }
    free(e);
}
void initGraph(graph g){
    g->numVertexes = MAX;
    g->numEdges = 0;
    int i;
    for(i=0;i<MAX;i++){
        g->headlist[i].fnode = NULL;
    }
    inputInfo(g,0,0,0,4);
    inputInfo(g,0,0,0,5);
    inputInfo(g,0,0,0,11);

    inputInfo(g,1,0,1,2);
    inputInfo(g,1,0,1,4);
    inputInfo(g,1,0,1,8);

    inputInfo(g,2,2,2,5);
    inputInfo(g,2,2,2,6);
    inputInfo(g,2,2,2,9);

    inputInfo(g,3,0,3,2);
    inputInfo(g,3,0,3,13);

    inputInfo(g,4,2,4,7);

    inputInfo(g,5,3,5,8);
    inputInfo(g,5,3,5,12);

    inputInfo(g,6,1,6,5);

    inputInfo(g,7,2,7,-1);

    inputInfo(g,8,2,8,7);

    inputInfo(g,9,1,9,10);
    inputInfo(g,9,1,9,11);

    inputInfo(g,10,1,10,13);

    inputInfo(g,11,2,11,-1);

    inputInfo(g,12,1,12,9);

    inputInfo(g,13,2,13,-1);
}
int inputInfo(graph g,int tar,int in,int data,int first){
    g->numEdges++;
    
    if(first == -1){ //没有后继的边节点
        g->headlist[tar].in = in;
        g->headlist[tar].data = data;
        return 1;
    }

    if(!g->headlist[tar].fnode){ //观察是否已经初始化
        g->headlist[tar].in = in;
        g->headlist[tar].data = data;
    }
    EdgeNode *e = (EdgeNode *)malloc(sizeof(EdgeNode));
    e->data = first;
    e->next = g->headlist[tar].fnode;
    g->headlist[tar].fnode = e;
    return 0;
}

执行示例：