1、此程序为c++程序
2、以下代码可实现手动输入,即去掉代码中的/*...*/注释符,并同时去掉赋值代码段
3、源代码
#include<iostream>
using namespace std;
#define MaxInt 32767
#define MVNum 100
typedef struct
{
char vexs[MVNum];
int arcs[MVNum][MVNum];
int vexnum, arcnum;
}AMGraph;
struct
{
char Head, Tail;
int lowcost;
}Edge[MVNum];
int Vexset[MVNum];
void CreateUDN(AMGraph &G);
void MiniSpanTree_Kruskal(AMGraph G);
int LocateVex(AMGraph G, char v);
int main()
{
AMGraph G;
char p = 'y';
while (p == 'y')
{
CreateUDN(G);
MiniSpanTree_Kruskal(G);
cout << "再次执行请输入:y,不执行请输入:n" << endl;
cin >> p;
}
system("pause");
return 0;
}
//生成无向图
void CreateUDN(AMGraph &G)
{
int i, j, k, w;
char v1, v2;
/*cout << "请输入顶点数和边数:";
cin >> G.vexnum >> G.arcnum;
cout << "请输入顶点:";
for (i = 0; i < G.vexnum; i++)
{
cin >> G.vexs[i];
}*/
G.vexnum = 6;
G.arcnum = 10;
G.vexs[0] = 'a';
G.vexs[1] = 'b';
G.vexs[2] = 'c';
G.vexs[3] = 'd';
G.vexs[4] = 'e';
G.vexs[5] = 'f';
//初始化
for (i = 0; i < G.vexnum; i++)
{
for (j = 0; j < G.vexnum; j++)
{
G.arcs[i][j] = MaxInt;
}
}
/*for (k = 0; k < G.arcnum; k++)
{
cout << "请输入边的起点、终点及权值:";
cin >> v1 >> v2 >> w;
Edge[k].Head = v1;
Edge[k].Tail = v2;
Edge[k].lowcost = w;
i = LocateVex(G, v1);
j = LocateVex(G, v2);
G.arcs[i][j] = w;
G.arcs[j][i] = G.arcs[i][j];
}*/
Edge[0].Head = 'a';
Edge[0].Tail = 'b';
Edge[0].lowcost = 6;
G.arcs[0][1] = G.arcs[1][0] = 6;
Edge[1].Head = 'a';
Edge[1].Tail = 'c';
Edge[1].lowcost = 1;
G.arcs[0][2] = G.arcs[2][0] = 1;
Edge[2].Head = 'a';
Edge[2].Tail = 'd';
Edge[2].lowcost = 5;
G.arcs[0][3] = G.arcs[3][0] = 5;
Edge[3].Head = 'b';
Edge[3].Tail = 'c';
Edge[3].lowcost = 5;
G.arcs[1][2] = G.arcs[2][1] = 5;
Edge[4].Head = 'c';
Edge[4].Tail = 'd';
Edge[4].lowcost = 5;
G.arcs[2][3] = G.arcs[3][2] = 6;
Edge[5].Head = 'b';
Edge[5].Tail = 'e';
Edge[5].lowcost = 3;
G.arcs[1][4] = G.arcs[4][1] = 3;
Edge[6].Head = 'c';
Edge[6].Tail = 'e';
Edge[6].lowcost = 6;
G.arcs[2][4] = G.arcs[4][2] = 6;
Edge[7].Head = 'c';
Edge[7].Tail = 'f';
Edge[7].lowcost = 4;
G.arcs[2][5] = G.arcs[5][2] = 4;
Edge[8].Head = 'd';
Edge[8].Tail = 'f';
Edge[8].lowcost = 2;
G.arcs[3][5] = G.arcs[5][3] = 2;
Edge[9].Head = 'e';
Edge[9].Tail = 'f';
Edge[9].lowcost = 6;
G.arcs[4][5] = G.arcs[5][4] = 6;
}
//构造最小生成树
void MiniSpanTree_Kruskal(AMGraph G)
{
int i, j, v1, v2, vs1, vs2;
for (i = 0; i < G.arcnum - 1; i++)
{
for (j = i + 1; j < G.arcnum; j++)
{
if (Edge[i].lowcost >Edge[j].lowcost)
{
Edge[MVNum] = Edge[i];
Edge[i] = Edge[j];
Edge[j] = Edge[MVNum];
}
}
}
for (i = 0; i < G.vexnum; i++)
{
Vexset[i] = i;
}
cout << "最小生成树:" << endl;
for (i = 0; i < G.arcnum; i++)
{
v1 = LocateVex(G, Edge[i].Head);
v2 = LocateVex(G, Edge[i].Tail);
vs1 = Vexset[v1];
vs2 = Vexset[v2];
if (vs1 != vs2)
{
cout << '(' << Edge[i].Head << ',' << Edge[i].Tail << ')' << endl;
for (j = 0; j < G.vexnum; j++)
{
if (Vexset[j] == vs2)
{
Vexset[j] = vs1;
}
}
}
}
}
//确定结点下标
int LocateVex(AMGraph G, char v)
{
int l, i;
for (l = 0, i = 0; i < G.arcnum; i++)
{
if (v == G.vexs[i])
{
l = i;
}
}
return l;
}