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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Random Graph Generation Code "
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x29bc2f02cc0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"\"\"\"Imported Modules\"\"\"\n",
"import math \n",
"import random \n",
"import networkx as nx \n",
"import matplotlib.pyplot as plt\n",
"import sys \n",
"\n",
"\"\"\"Base Class Definition\"\"\"\n",
"class DirectedHamilton: \n",
" #Variables for results #\n",
" times = [] \n",
" start = None \n",
" end = None \n",
" \n",
" #Setting Parameters #\n",
" # Number of nodes, strategy # \n",
" vertex = None \n",
" structure = None \n",
" graph = [[0 for i in range(20)] for j in range(20)] \n",
" \n",
" def __init__(self, n, g): \n",
" self.vertex = n \n",
" self.graph = g\n",
"\n",
"\"\"\"Random Graph Generation\"\"\"\n",
"def GenerateGraphRandomly(self, n): \n",
" # Generate a random directed graph of size n # \n",
" # Probability between connectivity between nodes is defined # \n",
" G = nx.gnp_random_graph(n, 0.50, directed = True)\n",
" # Setting directed graph which is empty #\n",
" S = nx.DiGraph() \n",
" \n",
" # This will get the edgdes from the random graph # \n",
" # The edges will be used to connect to the new one # \n",
" S.add_edges_from(G.edges()) \n",
" \n",
" # Creating a list which stores value of nodes # \n",
" List = list(G.nodes()) \n",
" # Shuffle the list so that it's random # \n",
" random.shuffle( List ) \n",
" \n",
" # This wil make sure that there is a cycle in the graph # \n",
" for i in range(len(List) - 1):\n",
" # Adding the paths, so that every node is connected #\n",
" S.add_path([List[i], List[i + 1]]) \n",
" \n",
" # Making sure that final node is connected to final node # \n",
" # This makes sure that the graph has a HC #\n",
" S.add_path([List[-1], List[0]]) \n",
" \n",
" # Setting up edges to be connected between nodes # \n",
" # Default colour is black, therefore the colour chosen is black # \n",
" edges = [edge for edge in S.edges()] \n",
" \n",
" # Setting the layout for the graph, through the module imported #\n",
" # Force-directed graph drawing # \n",
" # Kamada & Kawai (1989) # \n",
" position = nx.kamada_kawai_layout(S) \n",
" \n",
" # Connected the nodes to the graph #\n",
" # Setting the layout as 'Ocean' for the graph # \n",
" # Setting the nodes colour to Red # \n",
" nx.draw_networkx_nodes(S, position, cmap = plt.get_cmap('ocean'), \n",
" node_color = \"Red\", node_size = 400) \n",
" \n",
" # Set the number labels on the nodes, in the graph #\n",
" nx.draw_networkx_labels(S, position) \n",
" \n",
" # Set the egdes with arrows in graph # \n",
" nx.draw_networkx_edges(S, position, edgelist = edges, arrows = True) \n",
" limits=plt.axis('off') \n",
" \n",
" return S \n",
"# Initialize GenerateGraphRandomly function \n",
"DirectedHamilton.GenerateGraphRandomly = GenerateGraphRandomly\n",
"\n",
"\"\"\"Giving values & Output for the graph generation\"\"\"\n",
"# Give number of nodes to start with # \n",
"vertex = 20 \n",
"# Give maximum size of the layout # \n",
"plt.figure(figsize=(8, 6)) \n",
"rand = DirectedHamilton(vertex, None) \n",
"# Calling the function to randomly generate graph # \n",
"graph = rand.GenerateGraphRandomly(vertex) "
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.6.4"
}
},
"nbformat": 4,
"nbformat_minor": 2
}