prime算法求最小生成树c实现,并打印最小生成树
时间: 2023-12-25 12:29:39 浏览: 84
以下是使用Prim算法求最小生成树的C实现,并打印最小生成树的边和权值之和的示例代码:
```c
#include <stdio.h>
#include <stdbool.h>
#define INF 9999
#define V 5
int minKey(int key[], bool mstSet[])
{
int min = INF, min_index;
for (int v = 0; v < V; v++)
{
if (mstSet[v] == false && key[v] < min)
{
min = key[v];
min_index = v;
}
}
return min_index;
}
void printMST(int parent[], int graph[V][V])
{
printf("Edge \tWeight\n");
for (int i = 1; i < V; i++)
{
printf("%d - %d \t%d \n", parent[i], i, graph[i][parent[i]]);
}
}
void primMST(int graph[V][V])
{
int parent[V];
int key[V];
bool mstSet[V];
for (int i = 0; i < V; i++)
{
key[i] = INF;
mstSet[i] = false;
}
key[0] = 0;
parent[0] = -1;
for (int count = 0; count < V - 1; count++)
{
int u = minKey(key, mstSet);
mstSet[u] = true;
for (int v = 0; v < V; v++)
{
if (graph[u][v] && mstSet[v] == false && graph[u][v] < key[v])
{
parent[v] = u;
key[v] = graph[u][v];
}
}
}
printMST(parent, graph);
}
int main()
{
int graph[V][V] = {{0, 2, 0, 6, 0},
{2, 0, 3, 8, 5},
{0, 3, 0, 0, 7},
{6, 8, 0, 0, 9},
{0, 5, 7, 9, 0}};
primMST(graph);
return 0;
}
```
输出结果为:
```
Edge Weight
0 - 1 2
1 - 2 3
0 - 3 6
1 - 4 5
```
最小生成树的边和权值之和为16。
阅读全文
相关推荐
![docx](https://img-home.csdnimg.cn/images/20241231044901.png)
![doc](https://img-home.csdnimg.cn/images/20241231044833.png)
![pptx](https://img-home.csdnimg.cn/images/20241231044947.png)
![](https://csdnimg.cn/download_wenku/file_type_ask_c1.png)
![](https://csdnimg.cn/download_wenku/file_type_ask_c1.png)
![](https://csdnimg.cn/download_wenku/file_type_ask_c1.png)
![](https://csdnimg.cn/download_wenku/file_type_ask_c1.png)
![](https://csdnimg.cn/download_wenku/file_type_ask_c1.png)
![](https://csdnimg.cn/download_wenku/file_type_ask_c1.png)
![](https://csdnimg.cn/download_wenku/file_type_ask_c1.png)
![](https://csdnimg.cn/download_wenku/file_type_ask_c1.png)
![](https://csdnimg.cn/download_wenku/file_type_ask_c1.png)
![](https://csdnimg.cn/download_wenku/file_type_ask_c1.png)
![](https://csdnimg.cn/download_wenku/file_type_ask_c1.png)
![](https://csdnimg.cn/download_wenku/file_type_ask_c1.png)
![](https://csdnimg.cn/download_wenku/file_type_ask_c1.png)
![](https://csdnimg.cn/download_wenku/file_type_ask_c1.png)
![](https://csdnimg.cn/download_wenku/file_type_ask_c1.png)
![rar](https://img-home.csdnimg.cn/images/20241231044955.png)