""" File: graph_adjacency_list.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 class GraphAdjList: """基于邻接表实现的无向图类""" def __init__(self, edges: list[list[Vertex]]): """构造方法""" # 邻接表,key:顶点,value:该顶点的所有邻接顶点 self.adj_list = dict[Vertex, list[Vertex]]() # 添加所有顶点和边 for edge in edges: self.add_vertex(edge[0]) self.add_vertex(edge[1]) self.add_edge(edge[0], edge[1]) def size(self) -> int: """获取顶点数量""" return len(self.adj_list) def add_edge(self, vet1: Vertex, vet2: Vertex): """添加边""" if vet1 not in self.adj_list or vet2 not in self.adj_list or vet1 == vet2: raise ValueError() # 添加边 vet1 - vet2 self.adj_list[vet1].append(vet2) self.adj_list[vet2].append(vet1) def remove_edge(self, vet1: Vertex, vet2: Vertex): """删除边""" if vet1 not in self.adj_list or vet2 not in self.adj_list or vet1 == vet2: raise ValueError() # 删除边 vet1 - vet2 self.adj_list[vet1].remove(vet2) self.adj_list[vet2].remove(vet1) def add_vertex(self, vet: Vertex): """添加顶点""" if vet in self.adj_list: return # 在邻接表中添加一个新链表 self.adj_list[vet] = [] def remove_vertex(self, vet: Vertex): """删除顶点""" if vet not in self.adj_list: raise ValueError() # 在邻接表中删除顶点 vet 对应的链表 self.adj_list.pop(vet) # 遍历其他顶点的链表,删除所有包含 vet 的边 for vertex in self.adj_list: if vet in self.adj_list[vertex]: self.adj_list[vertex].remove(vet) def print(self): """打印邻接表""" print("邻接表 =") for vertex in self.adj_list: tmp = [v.val for v in self.adj_list[vertex]] print(f"{vertex.val}: {tmp},") """Driver Code""" if __name__ == "__main__": # 初始化无向图 v = vals_to_vets([1, 3, 2, 5, 4]) edges = [ [v[0], v[1]], [v[0], v[3]], [v[1], v[2]], [v[2], v[3]], [v[2], v[4]], [v[3], v[4]], ] graph = GraphAdjList(edges) print("\n初始化后,图为") graph.print() # 添加边 # 顶点 1, 2 即 v[0], v[2] graph.add_edge(v[0], v[2]) print("\n添加边 1-2 后,图为") graph.print() # 删除边 # 顶点 1, 3 即 v[0], v[1] graph.remove_edge(v[0], v[1]) print("\n删除边 1-3 后,图为") graph.print() # 添加顶点 v5 = Vertex(6) graph.add_vertex(v5) print("\n添加顶点 6 后,图为") graph.print() # 删除顶点 # 顶点 3 即 v[1] graph.remove_vertex(v[1]) print("\n删除顶点 3 后,图为") graph.print()