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DFS--深度优先搜索--图的邻接矩阵

2016-04-06 14:18 537 查看
# include <stdio.h>
# include <malloc.h>
# include <memory.h>
# define MAX 10			//最大顶点数

typedef struct
{
char vexs[MAX];		//顶点向量
bool visited[MAX];	//访问标志数组
int arcs[MAX][MAX];	//邻接矩阵
int vexnum,arcnum;	//图的当前顶点数和弧数
}MGRAPH,* mgraph;

void init_mgraph(mgraph &g)		//初始化图
{
g = (mgraph)malloc(sizeof(MGRAPH));
g->vexnum = 0;
g->arcnum = 0;
memset(g->vexs,0,sizeof(char)*MAX);
memset(g->visited,false,sizeof(bool)*MAX);		//访问标志数组置false ,表示没有被访问
for (int i=0; i<MAX; ++i)
{
for (int j=0; j<MAX; ++j)
{
g->arcs[i][j] = 0;
}
}
}

void add_vexs(mgraph &g)		//增加顶点
{
printf ("请输入顶点个数\n");
scanf ("%d",&(g->vexnum));
printf ("请输入各个顶点的信息\n");
for (int i=0; i<g->vexnum; ++i)
{
scanf (" %c",&(g->vexs[i]));
}
}

void add_arcs(mgraph &g)		//增加边
{
printf ("请输入边的个数\n");
scanf ("%d",&(g->arcnum));
char ch1,ch2;
int row,col;
printf ("请输入边的信息\n");
for (int i=0; i<g->arcnum; ++i)
{
scanf (" %c %c",&ch1,&ch2);
for (int j=0;j <g->vexnum; ++j)
{
if (g->vexs[j] == ch1)
row = j;
if (g->vexs[j] == ch2)
col = j;
}
g->arcs[row][col] = 1;
g->arcs[col][row] = 1;		//无向图加上此行
}
}

void creat_mgraph(mgraph &g)		//创建图
{
add_vexs(g);
add_arcs(g);
}

void print_mgraph(mgraph &g)		//遍历输出图
{
int i,j;
printf ("   ");
for ( i=0; i<g->vexnum ; ++i)
printf ("%3c",g->vexs[i]);
printf ("\n");
for (i=0; i<g->vexnum; ++i)
{
printf ("%3c",g->vexs[i]);
for (j=0; j<g->vexnum; ++j)
{
printf ("%3d",g->arcs[i][j]);
}
printf ("\n");
}
printf ("\n");
}

void visit(mgraph &g,int i)		//访问结点
{
printf ("%3c",g->vexs[i]);
g->visited[i] = true;		//标志数组置true,表示已经访问
}

void DFStraverse(mgraph &g,int i)		//深度优先搜索
{
visit(g,i);							//从第i个顶点开始搜索
for (int j=0; j<g->vexnum; ++j)
{
if (g->arcs[i][j]  && !g->visited[j])
DFStraverse(g,j);
}
}

int main (void)
{
mgraph g;
init_mgraph(g);
creat_mgraph(g);
print_mgraph(g);
DFStraverse(g,0);

return 0;
}
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