迪克斯特拉最短路径数据结构C语言

迪克斯特拉算法是一种用于计算图中最短路径的算法。下面是一个使用C语言实现迪克斯特拉算法的示例：

#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;
}

这段代码实现了迪克斯特拉算法来计算给定图中从源节点到其他节点的最短路径。它使用邻接矩阵来表示图，并输出每个节点到源节点的最短距离。