此实现利用两个数组first[], ext[] 邻接表。
核心代码:
void bellman_ford(int orig)
{
int k;
que[tail++] = orig;
book[orig] = 1;
while(head < tail){
k = first[que[head]];
while(k != -1){
if(dist[edge[k].v] > dist[edge[k].u] + edge[k].w){
dist[edge[k].v] = dist[edge[k].u] + edge[k].w;
if(book[edge[k].v] == 0){
que[tail++] = edge[k].v;
book[edge[k].v] = 1;
}
}
k = next[k];
}
book[que[head]] = 0;
head++;
}
}
完整实现:
#include<stdio.h>
#define INF 65535
#define MAX 20
typedef struct Edge{
int u, v;
int w;
}Edge;
int que[MAX] = {0};
int head = 1, tail = 1;
int next[MAX+1], first[MAX+1];
int book[MAX];
int dist[MAX];
Edge edge[MAX];
void bellman_ford(int orig)
{
int k;
que[tail++] = orig;
book[orig] = 1;
while(head < tail){//队列不空 就继续
k = first[que[head]];//获取 当前顶点的 ’边‘ 的 序号
while(k != -1){
if(dist[edge[k].v] > dist[edge[k].u] + edge[k].w){
dist[edge[k].v] = dist[edge[k].u] + edge[k].w;
if(book[edge[k].v] == 0){
que[tail++] = edge[k].v;
book[edge[k].v] = 1;//入队后 标记
}
}
k = next[k];
}
book[que[head]] = 0;// 出队 重新把标记置 0 意味着 可以重新 入队
head++;
}
}
int main()
{
int n, m;
scanf("%d%d",&n,&m);
for(int i = 1; i <= n; i++ ){//初始化
book[i] = 0;
first[i] = -1;
next[i] = -1;
dist[i] = INF;
}
int orig = 1;
dist[orig] = 0;
for(int j = 1; j <= m; j++ ){
scanf("%d%d%d", &edge[j].u,&edge[j].v, &edge[j].w);
//下面两句用数组模拟链表
next[j] = first[edge[j].u];
first[edge[j].u] = j;
}
bellman_ford(orig);
for(int i = 1; i <= n; i++ ){
printf("%d ",dist[i]);
}
}