What is the time complexity of graph algorithms in C?

What is the time complexity of Dijkstra's algorithm in C?

Dijkstra's algorithm has a time complexity of O(V^2) using an adjacency matrix, or O(E + V log V) with a priority queue.

Can you explain the difference between BFS and DFS in terms of complexity?

BFS has a time complexity of O(V + E) and uses a queue, while DFS also has O(V + E) but uses a stack or recursion.

How can I implement a graph in C?

You can implement a graph using an adjacency list or an adjacency matrix. Would you like a code example?

Yes, please provide a simple example of an adjacency list.

Here's a simple example:

#include <stdio.h>
#include <stdlib.h>

struct Node {
    int vertex;
    struct Node* next;
};

struct Graph {
    int numVertices;
    struct Node** adjLists;
};

struct Graph* createGraph(int vertices) {
    struct Graph* graph = malloc(sizeof(struct Graph));
    graph->numVertices = vertices;
    graph->adjLists = malloc(vertices * sizeof(struct Node*));
    for (int i = 0; i < vertices; i++)
        graph->adjLists[i] = NULL;
    return graph;
}

This creates a graph structure with an adjacency list.