""" =========== Knuth Miles =========== `miles_graph()` returns an undirected graph over the 128 US cities from. The cities each have location and population data. The edges are labeled with the distance between the two cities. This example is described in Section 1.1 of Donald E. Knuth, "The Stanford GraphBase: A Platform for Combinatorial Computing", ACM Press, New York, 1993. http://www-cs-faculty.stanford.edu/~knuth/sgb.html The data file can be found at: - https://github.com/networkx/networkx/blob/master/examples/drawing/knuth_miles.txt.gz """ import gzip import re import matplotlib.pyplot as plt import networkx as nx def miles_graph(): """ Return the cites example graph in miles_dat.txt from the Stanford GraphBase. """ # open file miles_dat.txt.gz (or miles_dat.txt) fh = gzip.open("knuth_miles.txt.gz", "r") G = nx.Graph() G.position = {} G.population = {} cities = [] for line in fh.readlines(): line = line.decode() if line.startswith("*"): # skip comments continue numfind = re.compile(r"^\d+") if numfind.match(line): # this line is distances dist = line.split() for d in dist: G.add_edge(city, cities[i], weight=int(d)) i = i + 1 else: # this line is a city, position, population i = 1 (city, coordpop) = line.split("[") cities.insert(0, city) (coord, pop) = coordpop.split("]") (y, x) = coord.split(",") G.add_node(city) # assign position - flip x axis for matplotlib, shift origin G.position[city] = (-int(x) + 7500, int(y) - 3000) G.population[city] = float(pop) / 1000.0 return G G = miles_graph() print("Loaded miles_dat.txt containing 128 cities.") print(f"digraph has {nx.number_of_nodes(G)} nodes with {nx.number_of_edges(G)} edges") # make new graph of cites, edge if less then 300 miles between them H = nx.Graph() for v in G: H.add_node(v) for (u, v, d) in G.edges(data=True): if d["weight"] < 300: H.add_edge(u, v) # draw with matplotlib/pylab plt.figure(figsize=(8, 8)) # with nodes colored by degree sized by population node_color = [float(H.degree(v)) for v in H] nx.draw( H, G.position, node_size=[G.population[v] for v in H], node_color=node_color, with_labels=False, ) # scale the axes equally plt.xlim(-5000, 500) plt.ylim(-2000, 3500) plt.show()