利用邻接矩阵容易判定任意两个顶点之间是否有边(或弧)相连,并容易求得各个顶点的度。
c语言代码实现如下:
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#include<stdio.h>
#include<stdlib.h>
#define MAX_VER_NUM 50
typedef char VertexType;
typedef enum
{
DG,UDG
}GraphType;
typedef struct
{
VertexType vexs[MAX_VER_NUM]; //顶点向量
int arcs[MAX_VER_NUM][MAX_VER_NUM]; //邻接矩阵
int vexnum,arcnum; //图的当前顶点数和弧数
GraphType type; //图的种类标志
}MGraph;
//根据名称得到指定顶点在顶点集合中的下标
//vex 顶点
//return 如果找到,则返回下标,否则,返回0
int getIndexOfVexs( char vex,MGraph *MG)
{
int i;
for (i=1;i<=MG->vexnum;i++)
{
if (MG->vexs[i]==vex)
{
return i;
}
}
return 0;
}
//创建邻接矩阵
void create_MG(MGraph *MG)
{
int i,j,k;
int v1,v2,type;
char c1,c2;
printf ( "Please input graph type DG(0) or UDG(1):" );
scanf ( "%d" ,&type);
if (type==0)
{
MG->type=DG;
}
else if (type==1)
{
MG->type=UDG;
}
else
{
printf ( "Please input correct graph type DG(0) or UDG(1)!" );
return ;
}
printf ( "Please input vexnum:" );
scanf ( "%d" ,&MG->vexnum);
printf ( "Please input arcnum:" );
scanf ( "%d" ,&MG->arcnum);
getchar ();
for (i=1;i<=MG->vexnum;i++)
{
printf ( "Please input %dth vex(char):" ,i);
scanf ( "%c" ,&MG->vexs[i]);
getchar ();
}
//初始化邻接矩阵
for (i=1;i<=MG->vexnum;i++)
{
for (j=1;j<=MG->vexnum;j++)
{
MG->arcs[i][j]=0;
}
}
//输入边的信息,建立邻接矩阵
for (k=1;k<=MG->arcnum;k++)
{
printf ( "Please input %dth arc v1(char) v2(char):" ,k);
scanf ( "%c %c" ,&c1,&c2);
v1=getIndexOfVexs(c1,MG);
v2=getIndexOfVexs(c2,MG);
if (MG->type==-1)
{
MG->arcs[v1][v2]=MG->arcs[v2][v1]=1;
}
else
{
MG->arcs[v1][v2]=1;
}
getchar ();
}
}
//打印邻接矩阵和顶点信息
void print_MG(MGraph MG)
{
int i,j;
if (MG.type==DG)
{
printf ( "Graph type: Direct graph\n" );
}
else
{
printf ( "Graph type: Undirect graph\n" );
}
printf ( "Graph vertex number: %d\n" ,MG.vexnum);
printf ( "Graph arc number: %d\n" ,MG.arcnum);
printf ( "Vertex set:" );
for (i=1;i<=MG.vexnum;i++)
{
printf ( "%c" ,MG.vexs[i]);
}
printf ( "\nAdjacency Matrix:\n" );
for (i=1;i<=MG.vexnum;i++)
{
for (j=1;j<=MG.vexnum;j++)
{
printf ( "%d" ,MG.arcs[i][j]);
}
printf ( "\n" );
}
}
//主函数
int main( void )
{
MGraph MG;
create_MG(&MG);
print_MG(MG);
return 0;
}
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得到的结果如下图所示:
以上就是本文的全部内容,希望对大家的学习有所帮助,也希望大家多多支持服务器之家。
原文链接:https://blog.csdn.net/zhoufen12345/article/details/66477922