用邻接表实现DFS和BFS

时间:2023-03-09 03:34:51
用邻接表实现DFS和BFS
#include <stdio.h>
#include <stdlib.h>
#define MAXVERTEX 10
typedef char VertexType; //顶点类型
typedef int EdgeType; //边的类型
typedef int ElemType; //队列中元素类型
typedef struct EdgeNode
{
int adjvex;
EdgeType weight;
struct EdgeNode *next;
}EdgeNode; //在邻接表中存放邻接顶点下标值的结点
typedef struct VertexNode
{
int Flag;
int vertex;
VertexType data;
EdgeNode *firstedge;
}VertexNode,AdjList[MAXVERTEX]; //定义一个MAXVERTEX个顶点的邻接表
typedef struct GraphAdjList
{
AdjList adjList;
int numVertex;
int numEdge;
}GraphAdjList; //定义一个图 typedef struct QNode
{
ElemType qData;
struct QNode *nextNode;
}QNode; //定义队列的结点
typedef struct QueueList
{
QNode *front;
QNode *rear;
}QueueList,*queue; //定义一个队列 //初始化队列
void InitQueue(QueueList *Q)
{
Q->front = (QNode*)malloc(sizeof(QNode));
if( Q->front == NULL )
{
printf("Error!");
exit(0);
}
Q->rear = Q->front;
// Q->rear = NULL;
Q->front->nextNode = NULL;
} //插入一个结点到队列
void InsertQueue(QueueList *Q,ElemType *e)
{
QNode *p;
p = (QNode *)malloc(sizeof(QNode));
p->qData = *e;
p->nextNode = NULL;
Q->rear->nextNode = p;
Q->rear = p;
} //删除队列中的结点(出队列)
void DeleteQueue(QueueList *Q,ElemType *e)
{
QNode *s;
if(Q->front == Q->rear)
{
return;
}
s = Q->front->nextNode;
*e = s->qData;
Q->front->nextNode = s->nextNode;
if(Q->front->nextNode == NULL)
{
Q->rear = Q->front;
}
free(s);
return;
} void CreateGraph(GraphAdjList *G) //构建一个我们要遍历的图
{
int i = 0,j = 0,k = 0;
EdgeNode *s;
VertexType c;
printf("请输入图的顶点数和边数,中间用英文逗号隔开 :\n");
scanf("%d,%d",&G->numVertex,&G->numEdge);
printf("请输入各个顶点中存放的数据:\n");
fflush(stdin);
scanf("%c",&c);
while(i < G->numVertex)
{
if(c == '\n')
{
break;
}
G->adjList[i].data = c;
G->adjList[i].Flag = 0;
G->adjList[i].vertex = i;
G->adjList[i].firstedge = NULL;
i++;
scanf("%c",&c);
}
fflush(stdin);
for(k = 0;k < G->numEdge;k++)
{
printf("请输入边Vi~Vj依附的顶点下标 i 和 j :\n");
scanf("%d,%d",&i,&j);
s = (EdgeNode*)malloc(sizeof(EdgeNode));
s->adjvex = j;
s->next = G->adjList[i].firstedge;
G->adjList[i].firstedge = s;
s = (EdgeNode*)malloc(sizeof(EdgeNode));
s->adjvex = i;
s->next = G->adjList[j].firstedge;
G->adjList[j].firstedge = s;
}
}
//查看邻接表是否构建的正确,这个函数只是为了验证
void print(GraphAdjList *G)
{
int i = 0;
EdgeNode *p;
for(i = 0;i < G->numVertex;i++)
{
printf("\n %d->",i);
p = G->adjList[i].firstedge;
while(p)
{
printf("%d->",p->adjvex);
p = p->next;
}
printf("End\n");
}
} //DFS遍历
void DFSTraverse(GraphAdjList *G,int i)
{
int j = 0;
EdgeNode *p;
G->adjList[i].Flag = 1;
printf("%c->",G->adjList[i].data);
p = G->adjList[i].firstedge;
while(p != NULL)
{
if(G->adjList[p->adjvex].Flag == 0)
{
DFSTraverse(G,p->adjvex);
}
p = p->next;
}
}
//判断队列是否为空
int QueueEmpty(QueueList *Q)
{
if(Q->front == Q->rear)
return 0;
else
return 1;
}
//BFS遍历
void BFSTraverse(GraphAdjList *G)
{
int i = 0,k = 0,flag = 0;
EdgeNode *s;
QueueList Q;
InitQueue(&Q);
for(i = 0;i < G->numVertex;i++)
{
G->adjList[i].Flag = 0;
}
for(i = 0;i < G->numVertex;i++)
{
if(G->adjList[i].Flag == 0)
{
G->adjList[i].Flag = 1;
// printf("%c ",G->adjList[i].data);
InsertQueue(&Q,&i);
while(QueueEmpty(&Q))
{
DeleteQueue(&Q,&i);
printf("%c->",G->adjList[i].data);
s = G->adjList[i].firstedge;
while(s != NULL)
{
k = s->adjvex;
if(G->adjList[k].Flag == 0)
{
G->adjList[k].Flag = 1;
// printf("%c ",G->adjList[k].data);
InsertQueue(&Q,&(s->adjvex));
}
s = s->next;
} }
}
}
printf("End\n");
} int main()
{
int k = 0; //深度优先遍历从第1个顶点(按输入顺序)开始
GraphAdjList *G;
CreateGraph(G);
printf("\n顶点的邻接表为:\n");
print(G); //按照头插法得到的邻接表
printf("\nDFS的结果是:\n");
DFSTraverse(G,k); //深度优先遍历
printf("End\n");
printf("\nBFS的结果是:\n");
BFSTraverse(G); //广度优先遍历
return;
}