邻接图的广度优先遍历和深度优先遍历

#include <stdio.h>
#include <stdlib.h>

#define QUEUE_MAXSIZE 30
#define VERTEX_MAX 26  
#define MAXVALUE 99999  
  
typedef struct  
{  
    char Vertex[VERTEX_MAX];//保存顶点信息,序号或字母  
    int Edges[VERTEX_MAX][VERTEX_MAX];//保存边的权  
    int isTrav[VERTEX_MAX];//遍历标志  
    int VertexNum;//顶点的数量  
    int EdgeNum;//边的数量  
    int GraphType;//图的类型,0:无向图;1:有向图  
}MatrixGraph;  
  
void CreateMatrixGraph(MatrixGraph *G);//创建邻接矩阵图  
void OutMatrix(MatrixGraph *G);//输出邻接矩阵  
  
/************************************************************************   
函数名称:CreateMatrixGraph   
函数功能:创建邻接矩阵图 
函数参数:G是定义的图结构的指针 
函数返回:无  
************************************************************************/  
void CreateMatrixGraph(MatrixGraph *G)  
{  
    int i, j, k, weight;  
    char start, end;  
  
    printf("输入各个顶点的信息\n");  
    for (i = 0; i < G->VertexNum; i++)  
    {  
        getchar();  
        printf("第%d个顶点:", i+1);  
        scanf("%c", &(G->Vertex[i]));  
    }  
  
    printf("输入构成各边的两个顶点及权值(用逗号分隔):\n");  
    for (k = 0; k < G->EdgeNum; k++)  
    {  
        getchar();  
        printf("第%d条边:", k+1);  
        scanf("%c,%c,%d", &start, &end, &weight);  
        for (i = 0; start != G->Vertex[i]; i++);//在已有顶点中查找起始点  
        for (j = 0; end != G->Vertex[j]; j++);//在已有顶点中查找终点  
        G->Edges[i][j] = weight;  
        if (G->GraphType == 0)  
            G->Edges[j][i] = weight;  
    }  
}  
/************************************************************************   
函数名称:OutMatrix   
函数功能:输出邻接矩阵 
函数参数:G是定义的图结构的指针 
函数返回:无  
************************************************************************/  
void OutMatrix(MatrixGraph *G)  
{  
    int i, j;  
    for (j = 0; j < G->VertexNum; j++)  
    {  
        printf("\t%c", G->Vertex[j]);  
    }  
    printf("\n");  
    printf("      ------------------------------------\n");  
    for (i = 0; i < G->VertexNum; i++)  
    {  
        printf("    %c |", G->Vertex[i]);  
        for (j = 0; j < G->VertexNum; j++)  
        {  
            if (G->Edges[i][j] == MAXVALUE)  
                printf("\t∞");  
            else  
                printf("\t%d", G->Edges[i][j]);  
        }  
        printf("\n");  
    }  
    printf("\n");     
}  
/**********************************************************
*******上面是图的代码
*******下面是实现广度优先遍历的代码
***********************************************************/
typedef struct
{
	int Data[QUEUE_MAXSIZE];
	int head;
	int tail;
}SeqQueue;

void QueueInit(SeqQueue *Q)//队列初始化
{
	Q->head = Q->tail = 0;
}
int QueueIsEmpty(SeqQueue Q)//判断队列是否已空
{
	return Q.head == Q.tail;
}
int QueueIn(SeqQueue *Q, int ch)//入队列,成功返回1,失败返回0
{
	if ((Q->tail + 1) % QUEUE_MAXSIZE == Q->head)
		return 0;
	Q->Data[Q->tail] = ch;
	Q->tail = (Q->tail + 1) % QUEUE_MAXSIZE;
	return 1;
}
int QueueOut(SeqQueue *Q, int *ch)//出队列,成功返回1,失败返回0
{
	if (Q->head == Q->tail)
		return 0;
	*ch = Q->Data[Q->head];
	Q->head = (Q->head + 1) % QUEUE_MAXSIZE;
	return 1;
}
//广度优先遍历
void BFSM(MatrixGraph *G, int k)
{
	int i, j;
	SeqQueue Q;
	QueueInit(&Q);
	G->isTrav[k] = 1;
	printf("->%c", G->Vertex[k]);

	QueueIn(&Q, k);
	while(!QueueIsEmpty(Q))
	{
		QueueOut(&Q, &i);
		for (j = 0; j < G->VertexNum; j++)
		{
			if (G->Edges[i][j] != MAXVALUE && !G->isTrav[j])
			{
				printf("->%c", G->Vertex[j]);
				G->isTrav[j] = 1;
				QueueIn(&Q, j);
			}
		}
	}
}

void BFSTraverse(MatrixGraph *G)
{
	int i;
	for (i = 0; i < G->VertexNum; i++)
		G->isTrav[i] = 0;
	printf("广度优先遍历结点:");
	for (i = 0; i < G->VertexNum; i++)
		if (!G->isTrav[i])
			BFSM(G, i);
	printf("\n");
}
//深度优先遍历
void DFSM(MatrixGraph *G, int i)
{
	int j;
	G->isTrav[i] = 1;
	printf("->%c", G->Vertex[i]);
	for (j = 0; j < G->VertexNum; j++)
		if (G->Edges[i][j] != MAXVALUE && !G->isTrav[j])
			DFSM(G, j);
}
void DFSTraverse(MatrixGraph *G)
{
	int i;
	for (i = 0; i < G->VertexNum; i++)
		G->isTrav[i] = 0;
	printf("深度优先遍历结点:");
	for (i = 0; i < G->VertexNum; i++)
		if (!G->isTrav[i])
			DFSM(G, i);
	printf("\n");
}

/************************************************************************   
函数名称:main   
函数功能:测试图 
函数参数:无 
函数返回:0表示成功 
************************************************************************/  
int main()  
{  
    MatrixGraph G;  
    int i, j;  
	char select;

	do
	{
		printf("输入生成图的类型(0:无向图,1:有向图):");  
		scanf("%d", &G.GraphType);  
  
		printf("输入图的顶点数量和边数量:");  
		scanf("%d,%d", &G.VertexNum, &G.EdgeNum);  
  
		//清空矩阵  
		for (i = 0; i < G.VertexNum; i++)  
			for (j = 0; j < G.VertexNum; j++)  
				G.Edges[i][j] = MAXVALUE;  
     
		CreateMatrixGraph(&G);  
		printf("邻接矩阵数据如下:\n");  
		OutMatrix(&G);
		DFSTraverse(&G);//深度优先搜索遍历图
		BFSTraverse(&G);//广度优先搜索遍历图
		printf("图遍历完,继续进行吗?(Y/N)");
		scanf("%c", &select);
		getchar();
	}while (select != 'N' && select != 'n');

    getchar();  
    getchar();  
    return 0;  
}  

《邻接图的广度优先遍历和深度优先遍历》

    原文作者:数据结构之图
    原文地址: https://blog.csdn.net/yaoxiaokui/article/details/46765325
    本文转自网络文章,转载此文章仅为分享知识,如有侵权,请联系博主进行删除。
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