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| 1 | +#!/usr/bin/env python3 |
| 2 | + |
| 3 | +# author: greyshell |
| 4 | +# description: graph adt |
| 5 | + |
| 6 | +from typing import List |
| 7 | +from collections import deque |
| 8 | + |
| 9 | + |
| 10 | +class Vertex: |
| 11 | + """ |
| 12 | + implementation of a vertex / node of a DAG |
| 13 | + """ |
| 14 | + |
| 15 | + def __init__(self, key): |
| 16 | + self._key = key |
| 17 | + self._neighbors = [] |
| 18 | + |
| 19 | + def add_neighbor(self, neighbor_vertex, weight): |
| 20 | + self._neighbors.append((neighbor_vertex, weight)) |
| 21 | + |
| 22 | + def get_key(self): |
| 23 | + return self._key |
| 24 | + |
| 25 | + def get_connections(self): |
| 26 | + return self._neighbors |
| 27 | + |
| 28 | + def get_weight(self, to_vertex): |
| 29 | + for neighbor in self._neighbors: |
| 30 | + if to_vertex == neighbor[0].get_key(): |
| 31 | + return neighbor[1] |
| 32 | + |
| 33 | + |
| 34 | +class Graph(object): |
| 35 | + """ |
| 36 | + implementation of DAG ADT |
| 37 | + """ |
| 38 | + |
| 39 | + def __init__(self, graph_dict=None): |
| 40 | + if graph_dict is None: |
| 41 | + self._graph = {} |
| 42 | + self._vertices = {} |
| 43 | + else: |
| 44 | + self._graph = graph_dict |
| 45 | + # add vertices |
| 46 | + for v in self._graph: |
| 47 | + self.add_vertex(v) |
| 48 | + # add edges |
| 49 | + for v in self._graph: |
| 50 | + for e in self._graph[v]: |
| 51 | + self.add_edge(v, e[0], e[1]) |
| 52 | + |
| 53 | + def add_vertex(self, vertex): |
| 54 | + v = Vertex(vertex) |
| 55 | + self._vertices[vertex] = v |
| 56 | + |
| 57 | + def add_edge(self, from_vertex, to_vertex, weight): |
| 58 | + if from_vertex not in self._vertices: |
| 59 | + self.add_vertex(from_vertex) |
| 60 | + |
| 61 | + if to_vertex not in self._vertices: |
| 62 | + self.add_vertex(to_vertex) |
| 63 | + |
| 64 | + self._vertices[from_vertex].add_neighbor(self._vertices[to_vertex], weight) |
| 65 | + |
| 66 | + def get_vertices(self): |
| 67 | + vertices = [] |
| 68 | + for v in self._vertices.keys(): |
| 69 | + vertices.append(v) |
| 70 | + return vertices |
| 71 | + |
| 72 | + def get_vertex(self, vertex_key): |
| 73 | + for vertex in self._vertices: |
| 74 | + if vertex == vertex_key: |
| 75 | + return self._vertices[vertex] |
| 76 | + |
| 77 | + def get_edges(self): |
| 78 | + edges = [] |
| 79 | + for vertex in self._vertices: |
| 80 | + neighbors = self._vertices[vertex].get_connections() |
| 81 | + |
| 82 | + for neighbor in neighbors: |
| 83 | + to_vertex = neighbor[0].get_key() |
| 84 | + edges.append((vertex, to_vertex, self._vertices[vertex].get_weight(to_vertex))) |
| 85 | + |
| 86 | + return edges |
| 87 | + |
| 88 | + def BFS(self, start_vertex=None): |
| 89 | + # TBD |
| 90 | + start_vertex = self.get_vertex(start_vertex) |
| 91 | + |
| 92 | + if start_vertex is None: |
| 93 | + raise Exception(f"vertex: {start_vertex} is not found in graph") |
| 94 | + |
| 95 | + visited = [False] * len(self._vertices) |
| 96 | + traversed = [] |
| 97 | + |
| 98 | + q = Queue() |
| 99 | + q.enqueue(start_vertex) |
| 100 | + |
| 101 | + while not q.isEmpty(): |
| 102 | + v = q.dequeue() |
| 103 | + key = v.get_key() |
| 104 | + |
| 105 | + if not visited[key]: |
| 106 | + visited[key] = True |
| 107 | + traversed.append(key) |
| 108 | + |
| 109 | + for neighbor in v.get_connections(): |
| 110 | + if not visited[neighbor[0].get_key()]: |
| 111 | + q.enqueue(neighbor[0]) |
| 112 | + |
| 113 | + return traversed |
| 114 | + |
| 115 | + |
| 116 | +def main(): |
| 117 | + g = Graph() |
| 118 | + |
| 119 | + # add vertex |
| 120 | + for v in range(0, 5): |
| 121 | + g.add_vertex(v) |
| 122 | + |
| 123 | + # add edges |
| 124 | + g.add_edge(0, 1, 5) |
| 125 | + g.add_edge(0, 2, 3) |
| 126 | + g.add_edge(1, 3, 3) |
| 127 | + g.add_edge(2, 1, 2) |
| 128 | + g.add_edge(2, 3, 5) |
| 129 | + g.add_edge(2, 4, 6) |
| 130 | + g.add_edge(4, 3, 1) |
| 131 | + |
| 132 | + print(f"vertices: {g.get_vertices()}") |
| 133 | + print(f"edges: {g.get_edges()}") |
| 134 | + print(f"bfs: the nodes traversed from {0} are: {g.BFS(0)}") |
| 135 | + |
| 136 | + print("") |
| 137 | + # taking graph as a dictionary |
| 138 | + # d = { |
| 139 | + # "0": [("1", 5), ("2", 3)], |
| 140 | + # "1": [("3", 3)], |
| 141 | + # "2": [("1", 2), ("3", 5), ("4", 6)], |
| 142 | + # "3": [], |
| 143 | + # "4": [("3", 1)] |
| 144 | + # } |
| 145 | + # |
| 146 | + # g1 = Graph(graph_dict=d) |
| 147 | + # print(f"vertices: {g1.get_vertices()}") |
| 148 | + # print(f"edges: {g1.get_edges()}") |
| 149 | + |
| 150 | + |
| 151 | +if __name__ == '__main__': |
| 152 | + main() |
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