""" File: graph_bfs.py Created Time: 2023-02-23 Author: Krahets (krahets@163.com) """ import sys from pathlib import Path sys.path.append(str(Path(__file__).parent.parent)) from modules import Vertex, vals_to_vets, vets_to_vals from collections import deque from graph_adjacency_list import GraphAdjList def graph_bfs(graph: GraphAdjList, start_vet: Vertex) -> list[Vertex]: """广度优先遍历 BFS""" # 使用邻接表来表示图,以便获取指定顶点的所有邻接顶点 # 顶点遍历序列 res = [] # 哈希表,用于记录已被访问过的顶点 visited = set[Vertex]([start_vet]) # 队列用于实现 BFS que = deque[Vertex]([start_vet]) # 以顶点 vet 为起点,循环直至访问完所有顶点 while len(que) > 0: vet = que.popleft() # 队首顶点出队 res.append(vet) # 记录访问顶点 # 遍历该顶点的所有邻接顶点 for adj_vet in graph.adj_list[vet]: if adj_vet in visited: continue # 跳过已被访问的顶点 que.append(adj_vet) # 只入队未访问的顶点 visited.add(adj_vet) # 标记该顶点已被访问 # 返回顶点遍历序列 return res """Driver Code""" if __name__ == "__main__": # 初始化无向图 v = vals_to_vets([0, 1, 2, 3, 4, 5, 6, 7, 8, 9]) edges = [ [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]], ] graph = GraphAdjList(edges) print("\n初始化后,图为") graph.print() # 广度优先遍历 BFS res = graph_bfs(graph, v[0]) print("\n广度优先遍历(BFS)顶点序列为") print(vets_to_vals(res))