#include <iostream>//藍多多算法實驗六
#include<malloc.h>
using namespace std;
#define MAXVEX 100//最大頂點數
typedef char VertexType;//頂點類型
typedef int EdgeType;//邊的權值
typedef struct
{
VertexType vexs[MAXVEX];//頂點表
EdgeType edges[MAXVEX][MAXVEX];//鄰接矩陣
int n, e;//頂點數和邊數
}MGraph;
MGraph CreateMGraph(int pd)//建立鄰接矩陣
{
MGraph G;
int i, j, k, n;
cout << "請輸入頂點數和邊數:";
cin >> G.n >> G.e;
cout << "請輸入頂點資訊:";
for (i = 0; i < G.n; i++)
cin >> G.vexs[i];
for (i = 0; i < G.n; i++)
for (j = 0; j < G.n; j++)
G.edges[i][j] = 0;//初始化鄰接矩陣
cout << "請輸入每條邊對應的兩個頂點的序号及權重:\n例:0 1 2 表示标注的第0個頂點和第1個頂點之間有邊且權重為2 (注意序号從0開始)\n";
for (n = 0; n < G.e; n++)
{
cin >> i >> j >> k;//輸入邊的資訊
G.edges[i][j] = k;
if (pd == 0)//無向圖,邊是雙向的
G.edges[j][i] = k;
}
return G;
}
void DisplayMGraph(MGraph G, int pd)//分行輸出
{
for (int i = 0; i < G.n; i++)//第i個頂點(行)
{
cout << "第" << i + 1 << "行:";
for (int j = 0; j < G.n; j++)//第j列
if (pd == 0 && G.edges[i][j] == 0)
cout << "∞" << "\t";
else
cout << G.edges[i][j] << "\t";
cout << "\n";
}
}
int OutDegree(MGraph G, int i)//(出)度(求第i個頂點表中的結點數)
{
int degree = 0;
for (int j = 0; j < G.n; j++)
if (G.edges[i][j] != 0)
degree++;
return degree;
}
int InDegree(MGraph G, int i)//入度
{
int degree = 0;
for (int j = 0; j < G.n; j++)
if (G.edges[j][i] != 0)
degree++;
return degree;
}
void PrintOut(MGraph G, int pd)//度
{
int all;
if (pd == 0)//無向圖
for (int i = 0; i < G.n; i++)
cout << "第" << i << "個頂點" << G.vexs[i] << "的度是" << OutDegree(G, i) << endl;
else//有向圖
for (int i = 0; i < G.n; i++)
{
cout << "第" << i << "個頂點" << G.vexs[i] << "的出度是" << OutDegree(G, i) << ",入度是" << InDegree(G, i) << endl;
all = OutDegree(G, i) + InDegree(G, i);
cout << "第" << i << "個頂點" << G.vexs[i] << "的度是" << all << endl;
}
}
int main()
{
//判斷是有向圖還是無向圖//
cout << "如果是無向圖,請輸入0;如果是有向圖,請輸入1:";
int pd;
cin >> pd;
if (pd != 0 && pd != 1)
{
cout << "輸入有誤,請退出重新輸入0或1。";
return 0;
}
MGraph G = CreateMGraph(pd);
cout << "\n分行輸出該鄰接矩陣為:\n";
DisplayMGraph(G, pd);
PrintOut(G, pd);
system("pause");
return 0;
}