一步一步复习数据结构和算法基础-图的创建和基本操作（邻接矩阵）

邻接矩阵写起来还是比较简单的。。。。。。

#include<stdio.h>
#include<stdlib.h>
#include<string.h>
#define number 20
typedef struct node
{
int info; //图的节点存放的信息，可随时变动
}GraphNode;
typedef struct
{
GraphNode matrix[number+1][number+1]; //构造邻接矩阵
int vexs[number+1]; //顶点向量
int vertex,edge; //顶点个数、弧个数
}Graph;

//创建图
void CreatGraph(Graph *G)
{
int i,k;
int x,y,data;
int vertex,edge;
printf("输入图的顶点个数和边的个数.\n");
scanf("%d%d",&vertex,&edge);
G->vertex = vertex;G->edge = edge;
printf("输入图的每个顶点.\n");
for(i=1;i<=vertex;i++)
scanf("%d",&G->vexs[i]);
for(i=1;i<=vertex;i++)
for(k=1;k<=vertex;k++)
G->matrix[i][k].info = 0;

printf("请输入 %d 条边的横坐标、纵坐标、数值.\n",edge);
for(i=1;i<=edge;i++)
{
scanf("%d%d%d",&x,&y,&data);
G->matrix[x][y].info=data;
}
}

//找出给定顶点的位置
int LocateVex(Graph *G,int V)
{
int i;
for(i=1;i<=G->vertex;i++)
if(G->vexs[i] == V)
return i;
return -1; //失败返回-1
}

//将指定顶点的数值改变
void PutVex(Graph *G,int V,int value)
{
int temp;
if((temp =LocateVex(G,V)) == -1)return;
else G->vexs[temp] = value;
}

//找出指定顶点在图中的第一个邻接点
int FirstAdjVex(Graph *G,int V)
{
int temp,i;
if((temp = LocateVex(G,V))==-1) return -1; //失败返回-1
else
{
for(i=1;i<=G->vertex;i++)
if(G->matrix[temp][i].info != 0)
return G->matrix[temp][i].info;
}
return -1;
}

//向图中插入一个顶点
int InsertVex(Graph *G,int V)
{
int i;
G->vertex++;
if(G->vertex > number)return 0;
G->vexs[G->vertex] = V;
for(i=1;i<=G->vertex;i++)
G->matrix[G->vertex][i].info = 0;
for(i=1;i<G->vertex;i++)
G->matrix[i][G->vertex].info = 0;
return 1;
}

//在图中删除一个顶点
int DeleteVex(Graph *G,int V)
{
int i,temp,k;
int count=0;
if((temp=LocateVex(G,V)) == -1)return -1;

//顶点数组变化
for(i=temp;i<G->vertex;i++)
G->vexs[i] = G->vexs[i+1];
//顶点入度变化
for(i=1;i<=G->vertex;i++)
{
if(G->matrix[i][temp].info)count++;
for(k=temp;k<G->vertex;k++)
{
G->matrix[i][k].info=G->matrix[i][k+1].info;
}
}
//顶点出度变化
for(i=1;i<G->vertex;i++)
{
for(k=temp;k<G->vertex;k++)
G->matrix[k][i].info = G->matrix[k+1][i].info;
}
G->vertex--; //顶点减一
G->edge -= count; //弧减去对应的个数
return 1;
}

//在图中插入一条弧
int InsertArc(Graph *G,int v,int w)
{
int digit;
if(v<0||v> G->vertex||w<0||w>G->vertex)return -1;
printf("输入弧的权值.\n");
scanf("%d",&digit);
G->matrix[v][w].info = G->matrix[w][v].info = digit;
return 1;
}

//在图中删除一条弧
int DeleteArc(Graph *G,int v,int w)
{
if(v<0||v> G->vertex||w<0||w>G->vertex)return -1;
G->matrix[v][w].info = G->matrix[w][v].info = 0;
return 1;
}

//打印图
void DisplayGraph(Graph *G)
{
int i,k;
for(i=1;i<=G->vertex;i++)
{
for(k=1;k<=G->vertex;k++)
printf("%-4d ",G->matrix[i][k].info);
printf("\n");
}
printf("\n");
}

void RecoverGraph(Graph *G)
{
int i,k;
for(i=1;i<=G->vertex;i++)
for(k=1;k<=G->vertex;k++)
G->matrix[i][k].info=0;
memset(G->vexs,0,sizeof(G->vexs));
G->vertex = G->edge = 0;

}
int main()
{
Graph G;
CreatGraph(&G);
DisplayGraph(&G);
printf("%d\n",LocateVex(&G,4));
printf("%d\n",FirstAdjVex(&G,4));
InsertVex(&G,34);
DeleteVex(&G,4);
DisplayGraph(&G);
return 0;
}