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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"from random import randint, shuffle # random integers and random shuffling of a list\n",
"from itertools import permutations # iterate over all possible permutations of a list\n",
"from itertools import chain # concatenate range()'s'\n",
"from math import inf as oo # Infinity (∞) is larger than any number\n",
"from math import sqrt, log, factorial # square root, logarithm, and n!\n",
"from time import perf_counter # for measuring time. NB. 'perf_counter' is better/more accurate than 'time'\n",
"import networkx as nx # to draw sample graphs\n",
"import pandas as pd # to show the adjacency matrix in a nice format\n",
"import matplotlib.pyplot as plt # to plot graphs of time and quality vs n\n",
"import seaborn as sns # nice statistical plots -- see e.g. https://seaborn.pydata.org/tutorial/relational.html#relational-tutorial\n",
"sns.set_style(\"white\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Basics"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Let the set of vertices be $\\{0, 1, 2,\\ldots, n-1\\}$.\n",
"\n",
"For simplicity, we will consider $0$ to be the start and end point of cycles."
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"class Graph:\n",
" ''' Random graphs '''\n",
" def __init__(self, n=0, type='asymmetric', MAX_WEIGHT=100, MAX_X=200, MAX_Y=200):\n",
" self.n = n\n",
" self.vertices = list(range(n)) # [0,1,...,n-1]\n",
" self.type = type\n",
" self.adj_matrix = [[oo for i in range(n)] for j in range(n)]\n",
" # Generate a random adjacency matrix according to the required type\n",
" if type=='symmetric': self.__random_symmetric_graph(n,MAX_WEIGHT)\n",
" elif type=='Euclidean': self.__random_euclidean_graph(n,MAX_X,MAX_Y)\n",
" elif type=='easy': self.__random_cycle_graph(n)\n",
" else: self.__random_asymmetric_graph(n,MAX_WEIGHT) # assume 'asymmetric' otherwise\n",
" \n",
" def __getitem__(self, i):\n",
" ''' Allow indexing to get the weights '''\n",
" return self.adj_matrix[i]\n",
" \n",
" def __random_asymmetric_graph(self,n, MAX_WEIGHT):\n",
" ''' Asymmetric adjacency matrix of size nxn '''\n",
" for i in range(n):\n",
" for j in range(n):\n",
" if i==j: continue # no self-loops\n",
" self.adj_matrix[i][j] = randint(1,MAX_WEIGHT)\n",
"\n",
" def __random_symmetric_graph(self,n,MAX_WEIGHT):\n",
" ''' Symmetric adjacency matrix of size nxn '''\n",
" for i in range(n):\n",
" for j in range(i+1,n):\n",
" w = randint(1,MAX_WEIGHT)\n",
" self.adj_matrix[i][j] = w\n",
" self.adj_matrix[j][i] = w\n",
"\n",
" def __random_cycle_graph(self,n):\n",
" ''' Symmetric adjacency matrix of size nxn with one reandomly chosen cycle\n",
" All the edge weights are 2 except for the cycle (weight=1) '''\n",
" self.adj_matrix = [[2 for _ in range(n)] for _ in range(n)] # All weights=2\n",
" # Select a random cycle which will have weight=1\n",
" cycle = list(range(1,n)) # don't include 0 as we want to be at the start\n",
" shuffle(cycle) # in-place random permutation\n",
" cycle = [0]+cycle+[0] # cycle starting and ending at 0\n",
" for a,b in zip(cycle, cycle[1:]): # set the cycle's weights to 1\n",
" self.adj_matrix[a][b] = 1\n",
" self.adj_matrix[b][a] = 1\n",
"\n",
" def __random_euclidean_graph(self,n,MAX_X,MAX_Y):\n",
" ''' Symmetric adjacency matrix of a Euclidean graph of size nxn '''\n",
" # (1/2) Generate random (x,y) points\n",
" points = set()\n",
" while len(points)<n: # We may get duplicate (x,y) so we try until we get enough points\n",
" x,y = randint(0,MAX_X), randint(0,MAX_Y)\n",
" points.add((x,y))\n",
" points = list(points) # Sets are not indexed, so convert into a list\n",
" # (2/2) Now compute the adjacency matrix\n",
" for i in range(n):\n",
" p1 = points[i]\n",
" for j in range(i+1,n):\n",
" p2 = points[j]\n",
" distance = sqrt((p1[0]-p2[0])**2+(p1[1]-p2[1])**2)\n",
" self.adj_matrix[i][j] = distance\n",
" self.adj_matrix[j][i] = distance\n",
" self.points=points"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"def cost(G, cycle):\n",
" ''' Calculate the cost of the given cycle (0,...,0) in G '''\n",
" return sum(G[a][b] for a,b in zip(cycle, cycle[1:]))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Functions to show the graphs as **adjacency matrices** or as a **drawing**:"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"def show(G):\n",
" ''' Show adjacency matrix. Useful for debugging.\n",
" 'type' is a string from: Euclidean, Cycle, ...\n",
" The distances are round to 1 decimal point for clarity/simplicity\n",
" '''\n",
" print(f\"{G.n}x{G.n} {G.type} graph:\")\n",
" if G.type=='Euclidean': print(\"Points:\",G.points)\n",
" r = pd.DataFrame({str(i): G[i] for i in range(G.n)})\n",
" display(r)\n",
" \n",
"def nx_graph(G):\n",
" ''' Convert G into NetworkX format '''\n",
" nxG = nx.Graph() if G.type!='asymmetric' else nx.DiGraph() # undirected/directed graph\n",
" nxG.add_nodes_from(G.vertices) # Add the vertices\n",
" # Now add the edges\n",
" for a in G.vertices:\n",
" for b in G.vertices:\n",
" if a==b: continue # no self-loops\n",
" nxG.add_edge(a, b, weight=G[a][b]) \n",
" if G.type=='Euclidean': # add (x,y) coordinates if available\n",
" pos=dict(enumerate(G.points)) # vertex:(x,y) pairs\n",
" nx.set_node_attributes(nxG, pos, 'coord')\n",
" return nxG\n",
"\n",
"def draw(G):\n",
" ''' Draw the graph G using NetworkX '''\n",
" nxG = nx_graph(G)\n",
" weights_dictionary = nx.get_edge_attributes(nxG,'weight')\n",
" edges,weights = zip(*weights_dictionary.items())\n",
" pos = nx.circular_layout(nxG) if G.type!='Euclidean' else nx.get_node_attributes(nxG,'coord')\n",
" nx.draw(nxG, pos, \\\n",
" with_labels=True, node_color='red', font_color='white', font_weight='bold', font_size=14,\\\n",
" edge_color=weights, width=1.5, connectionstyle=\"arc3,rad=0.1\", edge_cmap=plt.cm.copper)\n",
" # see https://matplotlib.org/stable/gallery/color/colormap_reference.html\n",
" nx.draw_networkx_edge_labels(nxG, pos, edge_labels=weights_dictionary, label_pos=0.5 if G.type!=\"asymmetric\" else 0.25)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# 2-opt local search and neighbourhoods"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [],
"source": [
"def list_of_neighbours(cycle):\n",
" ''' List of all 2-opt neighbours of: cycle = (0,...,0) '''\n",
" nn=[]\n",
" for i in range(1,len(cycle)):\n",
" for j in range(i+2,len(cycle)):\n",
" c = cycle[:i]+cycle[i:j][::-1]+cycle[j:] # [::-1] reverses a sequence -- this is the 2-opt operation\n",
" nn.append(c)\n",
" return nn\n",
"\n",
"def neighbourhood(G):\n",
" ''' Return a dictionary of k:v = cycle:[list of neighbours of cycle] '''\n",
" neighbours = {}\n",
" for cycle in permutations(range(1,G.n)):\n",
" cycle = (0,)+cycle+(0,) # tuples instead of lists\n",
" neighbours[cycle] = list_of_neighbours(cycle) # k:v\n",
" return neighbours\n",
"\n",
"def show_neighbourhood(G, neighbours, output_filename='neighbourhood.gexf'):\n",
" ''' Compute a graph that shows the cycles as vertices, and \n",
" two vertices are connected if they can be obtained from each other using 2-opt '''\n",
" # Create dictionary of costs of cycles, k:v = cycle:cost(cycle) and find minimal cost\n",
" costs = {}\n",
" all_vertices = neighbours.keys() # each vertex here represents a cycle in G\n",
" min_cost = oo # infinity\n",
" for v in all_vertices:\n",
" c = cost(G,v)\n",
" costs[v] = c\n",
" if c<min_cost: min_cost=c\n",
" # Generate neighbourhood graph H\n",
" H=nx.Graph()\n",
" for v in all_vertices:\n",
" # Before adding a vertex we wish to check if it is a local/global minimum\n",
" minimum='local minimum' # assume this, then change later if required\n",
" if costs[v]==min_cost: minimum='global minimum'\n",
" else:\n",
" for n in neighbours[v]: # check if not a local minimum\n",
" if costs[n]<costs[v]: # not a local minimum because a neighbour costs less\n",
" minimum='.' # not a minimum\n",
" break\n",
" H.add_node(v, cost=costs[v], minimum=minimum)\n",
" for v in neighbours:\n",
" for n in neighbours[v]:\n",
" H.add_edge(v,n)\n",
" # Export graph in GEXF format for use with Gephi\n",
" nx.write_gexf(H,output_filename)\n",
" "
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"7x7 symmetric graph:\n"
]
},
{
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" <td>41.0</td>\n",
" <td>22.0</td>\n",
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" <td>64.0</td>\n",
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" <td>75.0</td>\n",
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" <td>93.0</td>\n",
" <td>90.0</td>\n",
" <td>17.0</td>\n",
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" <td>41.0</td>\n",
" <td>75.0</td>\n",
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" <td>39.0</td>\n",
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" <td>93.0</td>\n",
" <td>13.0</td>\n",
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"text": [
"C:\\Users\\Kamal Bentahar\\AppData\\Roaming\\Python\\Python311\\site-packages\\networkx\\drawing\\nx_pylab.py:304: UserWarning: \n",
"\n",
"The connectionstyle keyword argument is not applicable when drawing edges\n",
"with LineCollection.\n",
"\n",
"To make this warning go away, either specify `arrows=True` to\n",
"force FancyArrowPatches or use the default value for connectionstyle.\n",
"Note that using FancyArrowPatches may be slow for large graphs.\n",
"\n",
" draw_networkx_edges(G, pos, arrows=arrows, **edge_kwds)\n"
]
},
{
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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
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"source": [
"G=Graph(7, 'symmetric')\n",
"neighbours = neighbourhood(G)\n",
"show(G)\n",
"draw(G)\n",
"show_neighbourhood(G, neighbours)"
]
},
{
"attachments": {},
"cell_type": "markdown",
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"source": [
"To explore the neighboorhoods ensure you have [Gephi](https://gephi.org/) installed, and use it to open `neighbourhood.gexf`.\n",
"\n",
"Watch the following videos for general discussions and to understand how to interpret this graph: <https://web.microsoftstream.com/channel/6f09a298-68ba-4575-bfd0-67a8623e9745>"
]
}
],
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