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DSAndOS/DSBookCode/BookCode/第6章/6.1.cpp
T
2023-07-28 22:53:00 +08:00

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C++

//算法6.1 采用邻接矩阵表示法创建无向网
#include <iostream>
using namespace std;
#define MaxInt 32767 //表示极大值,即∞
#define MVNum 100 //最大顶点数
#define OK 1
typedef char VerTexType; //假设顶点的数据类型为字符型
typedef int ArcType; //假设边的权值类型为整型
//- - - - -图的邻接矩阵存储表示- - - - -
typedef struct{
VerTexType vexs[MVNum]; //顶点表
ArcType arcs[MVNum][MVNum]; //邻接矩阵
int vexnum,arcnum; //图的当前点数和边数
}AMGraph;
int LocateVex(AMGraph G , VerTexType v){
//确定点v在G中的位置
for(int i = 0; i < G.vexnum; ++i)
if(G.vexs[i] == v)
return i;
return -1;
}//LocateVex
int CreateUDN(AMGraph &G){
//采用邻接矩阵表示法,创建无向网G
int i , j , k;
cout <<"请输入总顶点数,总边数,以空格隔开:";
cin >> G.vexnum >> G.arcnum; //输入总顶点数,总边数
cout << endl;
cout << "输入点的名称,如a" << endl;
for(i = 0; i < G.vexnum; ++i){
cout << "请输入第" << (i+1) << "个点的名称:";
cin >> G.vexs[i]; //依次输入点的信息
}
cout << endl;
for(i = 0; i < G.vexnum; ++i) //初始化邻接矩阵,边的权值均置为极大值MaxInt
for(j = 0; j < G.vexnum; ++j)
G.arcs[i][j] = MaxInt;
cout << "输入边依附的顶点及权值,如 a b 5" << endl;
for(k = 0; k < G.arcnum;++k){ //构造邻接矩阵
VerTexType v1 , v2;
ArcType w;
cout << "请输入第" << (k + 1) << "条边依附的顶点及权值:";
cin >> v1 >> v2 >> w; //输入一条边依附的顶点及权值
i = LocateVex(G, v1); j = LocateVex(G, v2); //确定v1和v2在G中的位置,即顶点数组的下标
G.arcs[i][j] = w; //边<v1, v2>的权值置为w
G.arcs[j][i] = G.arcs[i][j]; //置<v1, v2>的对称边<v2, v1>的权值为w
}//for
return OK;
}//CreateUDN
int main(){
cout << "************算法6.1 采用邻接矩阵表示法创建无向网**************" << endl << endl;
AMGraph G; int i , j;
CreateUDN(G);
cout <<endl;
cout << "*****邻接矩阵表示法创建的无向网*****" << endl;
for(i = 0 ; i < G.vexnum ; ++i){
for(j = 0; j < G.vexnum; ++j){
if(j != G.vexnum - 1){
if(G.arcs[i][j] != MaxInt)
cout << G.arcs[i][j] << "\t";
else
cout << "∞" << "\t";
}
else{
if(G.arcs[i][j] != MaxInt)
cout << G.arcs[i][j] <<endl;
else
cout << "∞" <<endl;
}
}
}//for
cout <<endl;
return 0;
}//main