圖的鄰接矩陣存儲方式，結構由頂點數量、邊數量、頂點集合和邊集合組成；
其中頂點集合一維數組，根據頂點的數量動態分配數組大小；
邊集合是二維數組，根據頂點的數量來動態分配數組大小，對于無向圖來說，該鄰接矩陣是對稱矩陣；

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先做簡單；有一個無向圖和手寫其鄰接矩陣如下；

編程來實現一下，并輸出鄰接矩陣；頂點和邊都不由用戶輸入，先按給定；

代碼；

#include <windows.h> #include "resource.h"LRESULT CALLBACK WindowProcedure (HWND, UINT, WPARAM, LPARAM);HINSTANCE hInst; TCHAR szClassName[] = TEXT("graphDemo");typedef char vertexType; typedef int edgeType; typedef struct GraphMatrix{int vertexNumber; // 頂點數量int edgeNumber; // 邊的數量vertexType *vertex; // 頂點集合，動態數組edgeType** edge; // 邊集合，二維動態數組} GraphMatrix;void GraphMatrix_create(GraphMatrix *g, HDC hdc);int WINAPI WinMain (HINSTANCE hThisInstance,HINSTANCE hPrevInstance,LPSTR lpszArgument,int nFunsterStil) {HWND hwnd;MSG messages;WNDCLASSEX wincl;hInst = hThisInstance;wincl.hInstance = hThisInstance;wincl.lpszClassName = szClassName;wincl.lpfnWndProc = WindowProcedure;wincl.style = CS_DBLCLKS;wincl.cbSize = sizeof (WNDCLASSEX);wincl.hIcon = LoadIcon (NULL, IDI_APPLICATION);wincl.hIconSm = LoadIcon (NULL, IDI_APPLICATION);wincl.hCursor = LoadCursor (NULL, IDC_ARROW);wincl.lpszMenuName = MAKEINTRESOURCE (IDC_GRAPHDEMO);wincl.cbClsExtra = 0;wincl.cbWndExtra = 0;wincl.hbrBackground = (HBRUSH)(COLOR_WINDOW+1);if (!RegisterClassEx (&wincl))return 0;hwnd = CreateWindowEx (0,szClassName,TEXT("graphDemo"),WS_OVERLAPPEDWINDOW,CW_USEDEFAULT,CW_USEDEFAULT,350,350,HWND_DESKTOP,NULL,hThisInstance,NULL);ShowWindow (hwnd, nFunsterStil);while (GetMessage (&messages, NULL, 0, 0)){TranslateMessage(&messages);DispatchMessage(&messages);}return messages.wParam; }LRESULT CALLBACK WindowProcedure (HWND hwnd, UINT message, WPARAM wParam, LPARAM lParam) {PAINTSTRUCT ps;HDC hdc;RECT rt;char szBuffer[100]; GraphMatrix *gm;switch (message){case WM_COMMAND:switch (LOWORD(wParam)){case IDM_graph: hdc=GetDC(hwnd); gm=(GraphMatrix *)VirtualAlloc(NULL,sizeof(GraphMatrix),MEM_COMMIT|MEM_RESERVE,PAGE_READWRITE);GraphMatrix_create(gm,hdc);break;case IDM_ABOUT:MessageBox (hwnd, TEXT ("graphDemo v1.0\nCopyright (C) 2020\n by bo"),TEXT ("graphDemo"), MB_OK | MB_ICONINFORMATION);break;case IDM_EXIT:DestroyWindow(hwnd);break;default:return DefWindowProc(hwnd, message, wParam, lParam); }break;case WM_CREATE:break;case WM_PAINT:hdc = BeginPaint(hwnd, &ps); GetClientRect(hwnd, &rt); EndPaint(hwnd, &ps);break;case WM_DESTROY:PostQuitMessage (0);break;default:return DefWindowProc (hwnd, message, wParam, lParam);}return 0; }void GraphMatrix_create(GraphMatrix *g, HDC hdc){int y=50; //輸出鄰接矩陣的起始Y坐標； char szBuffer[5];g->vertexNumber=5;g->edgeNumber=7;g->vertex=(vertexType*)VirtualAlloc(NULL,g->vertexNumber * sizeof(vertexType),MEM_COMMIT|MEM_RESERVE,PAGE_READWRITE);//二維動態數組申請空間g->edge=(edgeType**)VirtualAlloc(NULL,g->vertexNumber * sizeof(edgeType),MEM_COMMIT|MEM_RESERVE,PAGE_READWRITE);for (int i = 0; i < g->vertexNumber; i++){g->edge[i]=(edgeType*)VirtualAlloc(NULL,g->vertexNumber * sizeof(edgeType),MEM_COMMIT|MEM_RESERVE,PAGE_READWRITE);}//初始化鄰接矩陣的所有元素for (int i = 0; i < g->vertexNumber; i++){for (int j = 0; j < g->vertexNumber; j++)g->edge[i][j] = 0;}//輸入圖的信息g->edge[0][1] = 1; //（i，j）和(j，i)指的是一條邊g->edge[1][0] = 1;g->edge[0][3] = 1;g->edge[3][0] = 1;g->edge[0][4] = 1;g->edge[4][0] = 1;g->edge[1][2] = 1;g->edge[2][1] = 1;g->edge[1][4] = 1;g->edge[4][1] = 1;g->edge[2][3] = 1;g->edge[3][2] = 1;g->edge[3][4] = 1;g->edge[4][3] = 1; //輸出圖的信息TextOut(hdc,60,20,"圖的鄰接矩陣是：",16);for (int i = 0; i < g->vertexNumber; i++){for (int j = 0; j < g->vertexNumber; j++){wsprintf(szBuffer, "%d",g->edge[i][j]);TextOut(hdc,120+j*15,y,szBuffer,lstrlen(szBuffer));}y+=25; //下一行y坐標增加25； } }

運行結果如下；

工程；

資源和頭文件；

#include "resource.h" #include <windows.h>/ // // Menu //IDC_GRAPHDEMO MENU BEGINPOPUP "&File"BEGINMENUITEM "圖的鄰接矩陣實現", IDM_graphMENUITEM "E&xit", IDM_EXITENDPOPUP "&Help"BEGINMENUITEM "&About ...", IDM_ABOUTEND END #define IDM_EXIT 10001 #define IDM_ABOUT 10002#define IDC_GRAPHDEMO 10101 #define IDD_ABOUTBOX 10102 #define IDM_graph 40001

有時間再繼續；

總結

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