C實現圖的鄰接矩陣存儲

有向賦權圖的實現

#include <iostream>
#include <stdio.h>
#include <malloc.h>
#define Matrix int
typedef enum {OK=1,ERROR=0,OverFlow=-2} Status;
typedef enum { True = 1, False = 0 } Bool;
/*
	Graph(V,W) V爲頂點的集合，W爲邊的集合
	Matrix representation of graph 圖的矩陣表示
*/
typedef struct _matrixgraph {
	int v;
	int e;
	Matrix **matrix;
}MatrixGraph,*MG;
Matrix** newMatrix(int n);
Bool edgeExist(MG mg, int i, int j);
MG initMatrixGraph(int v);
Status addDirectedEdge(MG mg, int i, int j, int weight = 1); //默認權值爲1
Status deleteDirectedEdge(MG mg, int i, int j);
Status printMatrix(MG mg);
int main() {
	MG mg = initMatrixGraph(10);
	addDirectedEdge(mg, 0, 0);addDirectedEdge(mg, 0, 1);addDirectedEdge(mg, 0, 3);addDirectedEdge(mg, 0, 4);addDirectedEdge(mg, 0, 9);
	addDirectedEdge(mg, 5, 0); addDirectedEdge(mg, 5, 1); addDirectedEdge(mg, 5, 3); addDirectedEdge(mg, 5, 4); addDirectedEdge(mg, 5, 9);
	addDirectedEdge(mg, 8, 0); addDirectedEdge(mg, 8, 1); addDirectedEdge(mg, 8, 3); addDirectedEdge(mg, 8, 4); addDirectedEdge(mg, 8, 9);
	addDirectedEdge(mg, 9, 0); addDirectedEdge(mg, 9, 1); addDirectedEdge(mg, 9, 3); addDirectedEdge(mg, 9, 4); addDirectedEdge(mg, 9, 9);
	printMatrix(mg);
	free(mg);
	system("pause");
	return 0;
}
Status printMatrix(MG mg) {
	int length = mg->v;
	for (int i = 0; i < length; i++) {
		for (int j = 0; j < 10; j++) printf(" %d ", mg->matrix[i][j]);
		printf("\n");
	}
	return OK;
}
MG initMatrixGraph(int v) {
	MG mg = (MG)malloc(sizeof(MatrixGraph));
	mg->v = v;
	mg->e = 0;
	mg->matrix = newMatrix(v);
	return mg;
}
//有向賦權圖添加 默認權值爲1
Status addDirectedEdge(MG mg, int i, int j, int weight = 1) {//c中沒有默認參數 
	if (i < 0 || j < 0) return ERROR;
	if (!edgeExist(mg, i, j)) mg->matrix[i][j] = weight;
	else printf("martrix[%d][%d] is exitst\n", i, j);
	return OK;
}
Status deleteDirectedEdge(MG mg, int i, int j) {
	if (i < 0 || j < 0) return ERROR;
	if (edgeExist(mg, i, j)) mg->matrix[i][j] = 0;
	else printf("martrix[%d][%d] isn't exitst\n", i, j);
	return OK;
}
Bool edgeExist(MG mg, int i, int j) {
	if (mg->matrix[i][j] != 0) return True;
	return False;
}
Matrix** newMatrix(int n) {
	int **matrix = (int **)malloc(n * sizeof(int*));
	for (int i = 0; i < n; i++) matrix[i] = (int *)malloc(n * sizeof(int));
	for (int i = 0; i < n; i++)
		for (int j = 0; j < n; j++) matrix[i][j] = 0;
	return matrix;
}

無向賦權圖需修改addEdge,deleteEdge

//無向賦權圖添加
Status addUndirectedEdge(MG mg, int i, int j, int weight = 1) {
	if (i < 0 || j < 0) return ERROR;
	if (!edgeExist(mg, i, j) && !edgeExist(mg, j, i)) {
		mg->matrix[i][j] = weight;
		mg->matrix[j][i] = weight;
	}
	else printf("The Edge is exitst between %d and %d \n", i, j);
	return OK;
}
Status deleteUndirectedEdge(MG mg, int i, int j, int weight = 1) {
	if (i < 0 || j < 0) return ERROR;
	if (edgeExist(mg, i, j) && edgeExist(mg, j, i)) {
		mg->matrix[i][j] = 0;
		mg->matrix[j][i] = 0;
	}
	else printf("The Edge isn't exitst between %d and %d \n", i, j);
	return OK;
}