prim算法求最小生成树c
时间: 2023-11-04 07:55:12 浏览: 15
Prim算法求最小生成树
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以下是使用Prim算法求解最小生成树的C语言代码,其中使用了邻接矩阵表示图:
```c
#include<stdio.h>
#include<limits.h>
#define V 5 // 顶点数
int minKey(int key[], bool mstSet[]) {
int min = INT_MAX, min_index;
for (int i = 0; i < V; i++)
if (mstSet[i] == false && key[i] < min)
min = key[i], min_index = i;
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] = INT_MAX, 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;
}
```
其中,`graph[V][V]`表示图的邻接矩阵,`printMST()`函数用于输出最小生成树的结果。
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