采用邻接矩阵表示法,创建无向图graph。 实现功能: 1、打印无向图void printUDN(AMGraph graph) 2、增加顶点Status InsertVex(AMGraph &G, int v) 3、增加边Status DeleteVex(AMGraph &G, int v) 4、删除顶点Status InsertArc( AMGraph &G, int v, int w) 5、删除边Status DeleteArc(AMGraph &G, int v, int w)
时间: 2024-03-02 21:51:05 浏览: 104
好的,针对您的需求,我提供一份C++的代码实现,如下所示:
```c++
#include <iostream>
#include <vector>
using namespace std;
#define MAX_VERTEX_NUM 100
// 邻接矩阵表示法
typedef struct {
char vexs[MAX_VERTEX_NUM]; // 存储顶点信息
int arcs[MAX_VERTEX_NUM][MAX_VERTEX_NUM]; // 存储边信息
int vexnum, arcnum; // 记录图的顶点数和边数
} AMGraph;
// 打印无向图
void printUDN(AMGraph graph) {
cout << "Graph has " << graph.vexnum << " vertexes and " << graph.arcnum << " arcs." << endl;
cout << "Vertexes: ";
for (int i = 0; i < graph.vexnum; i++) {
cout << graph.vexs[i] << " ";
}
cout << endl;
cout << "Arcs: " << endl;
for (int i = 0; i < graph.vexnum; i++) {
for (int j = i+1; j < graph.vexnum; j++) {
if (graph.arcs[i][j] != 0) {
cout << "(" << graph.vexs[i] << ", " << graph.vexs[j] << ")" << endl;
}
}
}
}
// 增加顶点
bool InsertVex(AMGraph &G, char v) {
if (G.vexnum == MAX_VERTEX_NUM) return false;
G.vexs[G.vexnum] = v;
G.vexnum++;
return true;
}
// 删除顶点
bool DeleteVex(AMGraph &G, char v) {
int k = -1;
for (int i = 0; i < G.vexnum; i++) {
if (G.vexs[i] == v) {
k = i;
break;
}
}
if (k == -1) return false;
// 删除第k个顶点和相关的边
for (int i = k; i < G.vexnum-1; i++) {
G.vexs[i] = G.vexs[i+1];
}
for (int i = 0; i < G.vexnum-1; i++) {
for (int j = k; j < G.vexnum-1; j++) {
G.arcs[i][j] = G.arcs[i][j+1];
}
}
for (int i = 0; i < G.vexnum-1; i++) {
for (int j = k; j < G.vexnum-1; j++) {
G.arcs[j][i] = G.arcs[j+1][i];
}
}
G.vexnum--;
G.arcnum--;
return true;
}
// 增加边
bool InsertArc(AMGraph &G, char v, char w) {
int i, j;
// 查找v和w在顶点数组中的下标
for (i = 0; i < G.vexnum; i++) {
if (G.vexs[i] == v) break;
}
for (j = 0; j < G.vexnum; j++) {
if (G.vexs[j] == w) break;
}
if (i == G.vexnum || j == G.vexnum) return false;
if (G.arcs[i][j] != 0) return false;
G.arcs[i][j] = G.arcs[j][i] = 1;
G.arcnum++;
return true;
}
// 删除边
bool DeleteArc(AMGraph &G, char v, char w) {
int i, j;
// 查找v和w在顶点数组中的下标
for (i = 0; i < G.vexnum; i++) {
if (G.vexs[i] == v) break;
}
for (j = 0; j < G.vexnum; j++) {
if (G.vexs[j] == w) break;
}
if (i == G.vexnum || j == G.vexnum) return false;
if (G.arcs[i][j] == 0) return false;
G.arcs[i][j] = G.arcs[j][i] = 0;
G.arcnum--;
return true;
}
int main() {
AMGraph graph;
graph.vexnum = 0;
graph.arcnum = 0;
InsertVex(graph, 'A');
InsertVex(graph, 'B');
InsertVex(graph, 'C');
InsertVex(graph, 'D');
InsertVex(graph, 'E');
InsertArc(graph, 'A', 'B');
InsertArc(graph, 'A', 'C');
InsertArc(graph, 'B', 'C');
InsertArc(graph, 'B', 'D');
InsertArc(graph, 'C', 'D');
InsertArc(graph, 'C', 'E');
InsertArc(graph, 'D', 'E');
printUDN(graph);
DeleteArc(graph, 'A', 'B');
DeleteVex(graph, 'C');
printUDN(graph);
return 0;
}
```
这份代码实现了您提出的功能,具体包括:
1. 打印无向图:`printUDN()`函数;
2. 增加顶点:`InsertVex()`函数;
3. 删除顶点:`DeleteVex()`函数;
4. 增加边:`InsertArc()`函数;
5. 删除边:`DeleteArc()`函数。
同时,这份代码使用了邻接矩阵表示法来存储图,也就是用二维数组 $arcs[i][j]$ 存储顶点 $i$ 和顶点 $j$ 之间的边,如果 $arcs[i][j]$ 的值为 0,表示没有边,如果值为 1,表示有边。其中,数组 $vexs$ 存储顶点信息,$vexnum$ 存储图的顶点数,$arcnum$ 存储图的边数。
希望这份代码能够对您有所帮助!
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