/** * File: graph_bfs.c * Created Time: 2023-07-11 * Author: NI-SW (947743645@qq.com) */ #include "graph_adjacency_list.c" // Assume maximum number of nodes is 100 #define MAX_SIZE 100 /* Node queue structure */ typedef struct { Vertex *vertices[MAX_SIZE]; int front, rear, size; } Queue; /* Constructor */ Queue *newQueue() { Queue *q = (Queue *)malloc(sizeof(Queue)); q->front = q->rear = q->size = 0; return q; } /* Determine if the queue is empty */ int isEmpty(Queue *q) { return q->size == 0; } /* Enqueue operation */ void enqueue(Queue *q, Vertex *vet) { q->vertices[q->rear] = vet; q->rear = (q->rear + 1) % MAX_SIZE; q->size++; } /* Dequeue operation */ Vertex *dequeue(Queue *q) { Vertex *vet = q->vertices[q->front]; q->front = (q->front + 1) % MAX_SIZE; q->size--; return vet; } /* Check if vertex has been visited */ int isVisited(Vertex **visited, int size, Vertex *vet) { // Traversal search node, using O(n) time for (int i = 0; i < size; i++) { if (visited[i] == vet) return 1; } return 0; } /* Breadth-first traversal */ // Use adjacency list to represent the graph, to obtain all adjacent vertices of a specified vertex void graphBFS(GraphAdjList *graph, Vertex *startVet, Vertex **res, int *resSize, Vertex **visited, int *visitedSize) { // Queue used to implement BFS Queue *queue = newQueue(); enqueue(queue, startVet); visited[(*visitedSize)++] = startVet; // Starting from vertex vet, loop until all vertices are visited while (!isEmpty(queue)) { Vertex *vet = dequeue(queue); // Dequeue the vertex at the head of the queue res[(*resSize)++] = vet; // Record visited vertex // Traverse all adjacent vertices of that vertex AdjListNode *node = findNode(graph, vet); while (node != NULL) { // Skip already visited vertices if (!isVisited(visited, *visitedSize, node->vertex)) { enqueue(queue, node->vertex); // Only enqueue unvisited vertices visited[(*visitedSize)++] = node->vertex; // Mark the vertex as visited } node = node->next; } } // Free memory free(queue); } /* Driver Code */ int main() { // Initialize undirected graph int vals[] = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}; int size = sizeof(vals) / sizeof(vals[0]); Vertex **v = valsToVets(vals, size); Vertex *edges[][2] = {{v[0], v[1]}, {v[0], v[3]}, {v[1], v[2]}, {v[1], v[4]}, {v[2], v[5]}, {v[3], v[4]}, {v[3], v[6]}, {v[4], v[5]}, {v[4], v[7]}, {v[5], v[8]}, {v[6], v[7]}, {v[7], v[8]}}; int egdeSize = sizeof(edges) / sizeof(edges[0]); GraphAdjList *graph = newGraphAdjList(); // Add all vertices and edges for (int i = 0; i < size; i++) { addVertex(graph, v[i]); } for (int i = 0; i < egdeSize; i++) { addEdge(graph, edges[i][0], edges[i][1]); } printf("\nAfter initialization, the graph is\n"); printGraph(graph); // Breadth-first traversal // Vertex traversal sequence Vertex *res[MAX_SIZE]; int resSize = 0; // Used to record vertices that have been visited Vertex *visited[MAX_SIZE]; int visitedSize = 0; graphBFS(graph, v[0], res, &resSize, visited, &visitedSize); printf("\nBreadth-first search (BFS) vertex sequence is\n"); printArray(vetsToVals(res, resSize), resSize); // Free memory delGraphAdjList(graph); free(v); return 0; }