DFS--深度優先搜索--圖的鄰接矩陣

# include <stdio.h>
# include <malloc.h>
# include <memory.h>
# define MAX 10			//最大頂點數 

typedef struct 
{
	char vexs[MAX];		//頂點向量 
	bool visited[MAX];	//訪問標誌數組 
	int arcs[MAX][MAX];	//鄰接矩陣 
	int vexnum,arcnum;	//圖的當前頂點數和弧數 
}MGRAPH,* mgraph;

void init_mgraph(mgraph &g)		//初始化圖 
{
	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);		//訪問標誌數組置false ，表示沒有被訪問 
	for (int i=0; i<MAX; ++i)
	{
		for (int j=0; j<MAX; ++j)
		{
			g->arcs[i][j] = 0;
		}
	}
}

void add_vexs(mgraph &g)		//增加頂點 
{
	printf ("請輸入頂點個數\n");
	scanf ("%d",&(g->vexnum));
	printf ("請輸入各個頂點的信息\n");
	for (int i=0; i<g->vexnum; ++i)
	{
		scanf (" %c",&(g->vexs[i]));
	}
}

void add_arcs(mgraph &g)		//增加邊 
{
	printf ("請輸入邊的個數\n");
	scanf ("%d",&(g->arcnum));
	char ch1,ch2;
	int row,col;
	printf ("請輸入邊的信息\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;		//無向圖加上此行 
	}
}

void creat_mgraph(mgraph &g)		//創建圖 
{
	add_vexs(g);
	add_arcs(g);
}

void print_mgraph(mgraph &g)		//遍歷輸出圖 
{
	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)		//訪問結點 
{
	printf ("%3c",g->vexs[i]);
	g->visited[i] = true;		//標誌數組置true，表示已經訪問 
}

void DFStraverse(mgraph &g,int i)		//深度優先搜索   
{
	visit(g,i);							//從第i個頂點開始搜索 
	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;
}