邻结矩阵比较简单,, 它的BFS,DFS, 两种遍历也比较简单,一个用队列, 一个用数组即可!!!
但是邻接矩阵极其浪费空间,尤其是当它是一个稀疏矩阵的时候!!!
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//邻接矩阵的建立和 其BFS, DFS, 遍历
#include <cstdio>
#include <cstdlib>
//#define _OJ_int visit[100];
int cnt = 0;
typedef struct Graph1
{int nv;int ne;int a[100][100];
} Graph1, *Graph; //建立一个图含顶点, 边, 和邻接矩阵Graph
creat_graph(void)
{Graph g;int i, j;int v1, v2;g = (Graph) malloc (sizeof(Graph1));scanf("%d %d", &g->nv, &g->ne);for(i = 0;i < g->nv; i++) {for(j = 0;j < g->nv; j++) {g->a[i][j] = 0;}} //对邻结矩阵赋初始值for(i = 0;i < g->ne; i++) {scanf("%d %d", &v1, &v2);g->a[v1][v2] = 1;g->a[v2][v1] = 1;} //建立一个无向矩阵return g;
}void
DFS(Graph g, int i)
{int j;// lif(cnt == g->nv - 1)// printf("%d\n", i);// else { //此地有一个小技巧就是判断什么时候结束?// printf("%d ", i); //用一个全局变量cnt 由于每一个点遍历一次// cnt++; cnt == g->nv - 1 时结束;用此处理最后一个不要空格和换行// }printf("%d ", i);visit[i] = 1;for(j = 0;j < g->nv; j++) {if(g->a[i][j] == 1 && visit[j] == 0)DFS(g, j);}
}void
DFS_travers(Graph g)
{int i;for(i = 0;i < g->nv; i++)visit[i] = 0;for(i = 0;i < g->nv; i++) {if(visit[i] == 0)DFS(g, i);}
}typedef struct Queue1
{int top;int base;int *elem;
} Queue1, *Queue;Queue
creat_Queue(void)
{Queue q;q = (Queue) malloc (sizeof(Queue1));q->elem = (int*) malloc (100 * sizeof(int));q->base = q->top = 0;return q;
}int
isempty(Queue q)
{if(q->base == q->top)return 1;elsereturn 0;
}void
Enqueue(Queue q, int data)
{q->elem[q->top++] = data;
}int
Dequeue(Queue q)
{return q->elem[q->base++];
}void
BFS(Graph g, int v)
{int i, j;Queue q;q = creat_Queue();printf("%d ", v);visit[v] = 1;Enqueue(q, v);while (isempty(q) != 1) {i = Dequeue(q);for(j = 0;j < g->nv; j++) {if(g->a[i][j] && visit[j] == 0 ) {printf("%d ", j); //把整排先全都遍历完,在遍历其它的visit[j] = 1; //每次先遍历在入队Enqueue(q, j);}}}}void
BFS_travers(Graph g)
{int i;for(i = 0;i < g->nv; i++)visit[i] = 0;for(i = 0;i < g->nv; i++) {if(visit[i] == 0)BFS(g, i);}
}int main(int argc, char const *argv[]) {
#ifndef _OJ_ //ONLINE_JUDGEfreopen("input.txt", "r", stdin);
#endifGraph g;g = creat_graph();DFS_travers(g);printf("\n");BFS_travers(g);return 0;
}