""" File: graph_dfs.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, vets_to_vals, vals_to_vets from graph_adjacency_list import GraphAdjList def dfs(graph: GraphAdjList, visited: set[Vertex], res: list[Vertex], vet: Vertex): """深度优先遍历辅助函数""" res.append(vet) # 记录访问顶点 visited.add(vet) # 标记该顶点已被访问 # 遍历该顶点的所有邻接顶点 for adjVet in graph.adj_list[vet]: if adjVet in visited: continue # 跳过已被访问的顶点 # 递归访问邻接顶点 dfs(graph, visited, res, adjVet) def graph_dfs(graph: GraphAdjList, start_vet: Vertex) -> list[Vertex]: """深度优先遍历""" # 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 = [] # 哈希集合,用于记录已被访问过的顶点 visited = set[Vertex]() dfs(graph, visited, res, start_vet) return res """Driver Code""" if __name__ == "__main__": # 初始化无向图 v = vals_to_vets([0, 1, 2, 3, 4, 5, 6]) edges = [ [v[0], v[1]], [v[0], v[3]], [v[1], v[2]], [v[2], v[5]], [v[4], v[5]], [v[5], v[6]], ] graph = GraphAdjList(edges) print("\n初始化后,图为") graph.print() # 深度优先遍历 res = graph_dfs(graph, v[0]) print("\n深度优先遍历(DFS)顶点序列为") print(vets_to_vals(res))