图的存储和遍历

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/*  Copyright: 安徽大学计算机科学与技术学院  Author: 软件工程   杨磊  Description: 图的存储和遍历*/ #include <bits/stdc++.h>#define MaxVex     100   //最大顶点数#define INFINITY  65535 //表示∞#define TRUE    1#define    FALSE        0typedef char        VertexType;  //顶点类型typedef    int            EdgeType;  //权值类型typedef int            Bool;Bool    visited[MaxVex];typedef struct {    VertexType    vexs[MaxVex];   //顶点数组    EdgeType    arc[MaxVex][MaxVex]; //邻接矩阵    int    numVertexes, numEdges;  //当前图中的结点数以及边数}MGraph;//广度优先遍历需要的循环队列typedef struct {    int    data[MaxVex];    int    front, rear;}Queue;//队列的相关操作//初始化void InitQueue(Queue *Q){    Q->front = Q->rear = 0;}//入队void EnQueue(Queue *Q, int e){    if ((Q->rear+1)%MaxVex == Q->front)        return ;    Q->data[Q->rear] = e;    Q->rear = (Q->rear+1)%MaxVex;}//判空Bool QueueEmpty(Queue *Q){    if (Q->front == Q->rear)        return TRUE;    else        return FALSE;}//出队void DeQueue(Queue *Q, int *e){    if (Q->front == Q->rear)        return ;    *e = Q->data[Q->front];    Q->front = (Q->front+1)%MaxVex;}//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->numVertexes,&G->numEdges);    fflush(stdin);    printf("==============================\n");    printf("输入各个顶点:\n");    for (i=0; i<G->numVertexes; ++i) {        printf("顶点%d: ",i+1);        scanf("%c", &G->vexs[i]);        fflush(stdin);    }    for (i=0; i<G->numVertexes; ++i){        for (j=0; j<G->numVertexes; ++j)            G->arc[i][j] = INFINITY;    }    printf("==============================\n");    for (k=0; k<G->numEdges; ++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->numVertexes;    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.numVertexes; ++j){        if (G.arc[i][j]!=INFINITY && !visited[j])            DFS(G, j);    }}void DFSTraverse(MGraph G){    int i;    for (i=0; i<G.numVertexes; ++i)        visited[i] = FALSE;    for (i=0; i<G.numVertexes; ++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->numVertexes; ++i)        visited[i] = FALSE;    InitQueue(&Q);    for (i=0; i<G->numVertexes; ++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->numVertexes; ++j){                    if (!visited[j] && G->arc[i][j]!=INFINITY){                        visited[j] = TRUE;                        printf("%c ", G->vexs[j]);                        EnQueue(&Q, j);                    }                }            }        }    }}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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