用Dijkstra算法求最短路径的c语言实现
时间: 2023-05-14 10:06:58 浏览: 138
以下是使用Dijkstra算法求最短路径的C语言实现:
```
#include <stdio.h>
#include <limits.h>
#define V 9
int minDistance(int dist[], bool sptSet[]) {
int min = INT_MAX, min_index;
for (int v = 0; v < V; v++) {
if (sptSet[v] == false && dist[v] <= min) {
min = dist[v];
min_index = v;
}
}
return min_index;
}
void printSolution(int dist[]) {
printf("Vertex \t Distance from Source\n");
for (int i = 0; i < V; i++) {
printf("%d \t\t %d\n", i, dist[i]);
}
}
void dijkstra(int graph[V][V], int src) {
int dist[V];
bool sptSet[V];
for (int i = 0; i < V; i++) {
dist[i] = INT_MAX;
sptSet[i] = false;
}
dist[src] = 0;
for (int count = 0; count < V - 1; count++) {
int u = minDistance(dist, sptSet);
sptSet[u] = true;
for (int v = 0; v < V; v++) {
if (!sptSet[v] && graph[u][v] && dist[u] != INT_MAX && dist[u] + graph[u][v] < dist[v]) {
dist[v] = dist[u] + graph[u][v];
}
}
}
printSolution(dist);
}
int main() {
int graph[V][V] = {{0, 4, 0, 0, 0, 0, 0, 8, 0},
{4, 0, 8, 0, 0, 0, 0, 11, 0},
{0, 8, 0, 7, 0, 4, 0, 0, 2},
{0, 0, 7, 0, 9, 14, 0, 0, 0},
{0, 0, 0, 9, 0, 10, 0, 0, 0},
{0, 0, 4, 14, 10, 0, 2, 0, 0},
{0, 0, 0, 0, 0, 2, 0, 1, 6},
{8, 11, 0, 0, 0, 0, 1, 0, 7},
{0, 0, 2, 0, 0, 0, 6, 7, 0}};
dijkstra(graph, 0);
return 0;
}
```
这个程序使用了邻接矩阵来表示图,并实现了Dijkstra算法来计算从给定源节点到所有其他节点的最短路径。
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