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GeezerVison is showing github.com — Python-3/graphs/graph_list.py at master · https-github-com-nzysoft/Python-3 Expand file tree/ Copy pathgraph_list.pyMore file actions 150 lines (136 loc) · 6.5 KB / Copy pathgraph_list.pyFile metadata and controls150 lines (136 loc) · 6.5 KB 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 #!/usr/bin/env python3 # Author: OMKAR PATHAK, Nwachukwu Chidiebere # Use a Python dictionary to construct the graph. from __future__ import annotations from pprint import pformat from typing import Generic, TypeVar T = TypeVar("T") class GraphAdjacencyList(Generic[T]): """ Adjacency List type Graph Data Structure that accounts for directed and undirected Graphs. Initialize graph object indicating whether it's directed or undirected. Directed graph example: >>> d_graph = GraphAdjacencyList() >>> print(d_graph) {} >>> d_graph.add_edge(0, 1) {0: [1], 1: []} >>> d_graph.add_edge(1, 2).add_edge(1, 4).add_edge(1, 5) {0: [1], 1: [2, 4, 5], 2: [], 4: [], 5: []} >>> d_graph.add_edge(2, 0).add_edge(2, 6).add_edge(2, 7) {0: [1], 1: [2, 4, 5], 2: [0, 6, 7], 4: [], 5: [], 6: [], 7: []} >>> d_graph {0: [1], 1: [2, 4, 5], 2: [0, 6, 7], 4: [], 5: [], 6: [], 7: []} >>> print(repr(d_graph)) {0: [1], 1: [2, 4, 5], 2: [0, 6, 7], 4: [], 5: [], 6: [], 7: []} Undirected graph example: >>> u_graph = GraphAdjacencyList(directed=False) >>> u_graph.add_edge(0, 1) {0: [1], 1: [0]} >>> u_graph.add_edge(1, 2).add_edge(1, 4).add_edge(1, 5) {0: [1], 1: [0, 2, 4, 5], 2: [1], 4: [1], 5: [1]} >>> u_graph.add_edge(2, 0).add_edge(2, 6).add_edge(2, 7) {0: [1, 2], 1: [0, 2, 4, 5], 2: [1, 0, 6, 7], 4: [1], 5: [1], 6: [2], 7: [2]} >>> u_graph.add_edge(4, 5) {0: [1, 2], 1: [0, 2, 4, 5], 2: [1, 0, 6, 7], 4: [1, 5], 5: [1, 4], 6: [2], 7: [2]} >>> print(u_graph) {0: [1, 2], 1: [0, 2, 4, 5], 2: [1, 0, 6, 7], 4: [1, 5], 5: [1, 4], 6: [2], 7: [2]} >>> print(repr(u_graph)) {0: [1, 2], 1: [0, 2, 4, 5], 2: [1, 0, 6, 7], 4: [1, 5], 5: [1, 4], 6: [2], 7: [2]} >>> char_graph = GraphAdjacencyList(directed=False) >>> char_graph.add_edge('a', 'b') {'a': ['b'], 'b': ['a']} >>> char_graph.add_edge('b', 'c').add_edge('b', 'e').add_edge('b', 'f') {'a': ['b'], 'b': ['a', 'c', 'e', 'f'], 'c': ['b'], 'e': ['b'], 'f': ['b']} >>> char_graph {'a': ['b'], 'b': ['a', 'c', 'e', 'f'], 'c': ['b'], 'e': ['b'], 'f': ['b']} """ def __init__(self, directed: bool = True) -> None: """ Parameters: directed: (bool) Indicates if graph is directed or undirected. Default is True. """ self.adj_list: dict[T, list[T]] = {} # dictionary of lists self.directed = directed def add_edge( self, source_vertex: T, destination_vertex: T ) -> GraphAdjacencyList[T]: """ Connects vertices together. Creates and Edge from source vertex to destination vertex. Vertices will be created if not found in graph """ if not self.directed: # For undirected graphs # if both source vertex and destination vertex are both present in the # adjacency list, add destination vertex to source vertex list of adjacent # vertices and add source vertex to destination vertex list of adjacent # vertices. if source_vertex in self.adj_list and destination_vertex in self.adj_list: self.adj_list[source_vertex].append(destination_vertex) self.adj_list[destination_vertex].append(source_vertex) # if only source vertex is present in adjacency list, add destination vertex # to source vertex list of adjacent vertices, then create a new vertex with # destination vertex as key and assign a list containing the source vertex # as it's first adjacent vertex. elif source_vertex in self.adj_list: self.adj_list[source_vertex].append(destination_vertex) self.adj_list[destination_vertex] = [source_vertex] # if only destination vertex is present in adjacency list, add source vertex # to destination vertex list of adjacent vertices, then create a new vertex # with source vertex as key and assign a list containing the source vertex # as it's first adjacent vertex. elif destination_vertex in self.adj_list: self.adj_list[destination_vertex].append(source_vertex) self.adj_list[source_vertex] = [destination_vertex] # if both source vertex and destination vertex are not present in adjacency # list, create a new vertex with source vertex as key and assign a list # containing the destination vertex as it's first adjacent vertex also # create a new vertex with destination vertex as key and assign a list # containing the source vertex as it's first adjacent vertex. else: self.adj_list[source_vertex] = [destination_vertex] self.adj_list[destination_vertex] = [source_vertex] else: # For directed graphs # if both source vertex and destination vertex are present in adjacency # list, add destination vertex to source vertex list of adjacent vertices. if source_vertex in self.adj_list and destination_vertex in self.adj_list: self.adj_list[source_vertex].append(destination_vertex) # if only source vertex is present in adjacency list, add destination # vertex to source vertex list of adjacent vertices and create a new vertex # with destination vertex as key, which has no adjacent vertex elif source_vertex in self.adj_list: self.adj_list[source_vertex].append(destination_vertex) self.adj_list[destination_vertex] = [] # if only destination vertex is present in adjacency list, create a new # vertex with source vertex as key and assign a list containing destination # vertex as first adjacent vertex elif destination_vertex in self.adj_list: self.adj_list[source_vertex] = [destination_vertex] # if both source vertex and destination vertex are not present in adjacency # list, create a new vertex with source vertex as key and a list containing # destination vertex as it's first adjacent vertex. Then create a new vertex # with destination vertex as key, which has no adjacent vertex else: self.adj_list[source_vertex] = [destination_vertex] self.adj_list[destination_vertex] = [] return self def __repr__(self) -> str: return pformat(self.adj_list) |
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