邻接矩阵

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#include <stdio.h>
#define INFINITY 100000    //最大值
#define MAX_VERTEX_NUM 20  //最大顶点数
#define TRUE 1
#define FALSE 0
typedef char VertexType;
typedef int EdgeType;
typedef struct{
    VertexType vexs[MAX_VERTEX_NUM];   //顶点变量
    EdgeType arc[MAX_VERTEX_NUM][MAX_VERTEX_NUM];  //邻接矩阵
    int numVer,numEdg; //图的结点数和边数
}MGraph;
typedef struct {
    int    data[MAX_VERTEX_NUM];
    int    front, rear;
}Queue;
int visited[MAX_VERTEX_NUM];
void InitQueue(Queue *q){
     q->front=q->rear=0;
}

//入队
void EnQueue(Queue *Q, int e)
{
    if ((Q->rear+1)%MAX_VERTEX_NUM == Q->front)//判断队列是否已满
        printf("队列已满!\n");
    Q->data[Q->rear] = e;
    Q->rear = (Q->rear+1)%MAX_VERTEX_NUM;
}

//出队
void DeQueue(Queue *Q, int *e)
{
    if (Q->front == Q->rear)
        printf("队列为空!\n");  
    *e = Q->data[Q->front];
    Q->front = (Q->front+1)%MAX_VERTEX_NUM;
}

//判空
int QueueEmpty(Queue *Q)
{
    if (Q->front == Q->rear)
        return TRUE;
    else
    return FALSE;
}


//建立图的邻接矩阵
void CreateMGraph(MGraph *G)
{
    int i, j, k, w;

    printf("输入顶点数和边数: ");
    scanf("%d%d", &G->numVer,&G->numEdg);
    fflush(stdin);

    printf("==============================\n");
    printf("输入各个顶点:\n");
    for (i=0; i<G->numVer; ++i)
    {
        printf("顶点%d: ",i+1);
        scanf("%c", &G->vexs[i]);
        fflush(stdin);
    }

    for (i=0; i<G->numVer; ++i)
    {
        for (j=0; j<G->numVer; ++j)
            G->arc[i][j] = INFINITY;
    }

    printf("==============================\n");
    for (k=0; k<G->numEdg; ++k)
    {
        printf("输入边(vi, vj)中的下标i和j和权W: ");
        scanf("%d%d%d", &i,&j,&w);
        G->arc[i][j] = w;
        G->arc[j][i] = G->arc[i][j];
    }
}


//输出
void DisMGraph(MGraph *G)
{
    int i, j, k;
    k = G->numVer;
    for (i=0; i<k; ++i)
    {
        for (j=0; j<k; ++j)
        {
            printf("%5d ", G->arc[i][j]);
        }
        putchar('\n');
    }
}


/****************************************///图的深度优先遍历
void DFS(MGraph G, int i)
{
    int j;
    visited[i] = TRUE;
    printf("%c ",    G.vexs[i]);

    for (j=0; j<G.numVer; ++j)
    {
        if (G.arc[i][j]!=INFINITY  &&  !visited[j])
            DFS(G, j);
    }
}

void DFSTraverse(MGraph G)
{
    int i;
    for (i=0; i<G.numVer; ++i)
        visited[i] = FALSE;

    for (i=0; i<G.numVer; ++i)
    {
        if (!visited[i])
            DFS(G, i);
    }

}


//图的广度优先遍历
void BFSTraverse(MGraph *G)
{
    int i, j;
    Queue Q;

    for (i=0; i<G->numVer; ++i)
        visited[i] = FALSE;

    InitQueue(&Q);

    for (i=0; i<G->numVer; ++i)
    {
        if (!visited[i])
        {
            visited[i] = TRUE;
            printf("%c ", G->vexs[i]);
            EnQueue(&Q, i);

            while (!QueueEmpty(&Q))
            {
                DeQueue(&Q, &i);
                for (j=0; j<G->numVer; ++j)
                {
                    if (!visited[j] && G->arc[i][j]!=INFINITY)
                    {
                        visited[j] = TRUE;
                        printf("%c ", G->vexs[j]);
                        EnQueue(&Q, j);
                    }
                }
            }
        }
    }
}
//程序入口
int main(){
    MGraph G;
    CreateMGraph(&G);
    printf("\n图的深度优先遍历为: ");
    DFSTraverse(G);    

    printf("\n图的广度优先遍历为: ");
    BFSTraverse(&G);

    printf("\n");

    return 0;
}

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