annotate RandomGraph.py @ 7:69e5977417b3

Section 2.4, exercise 5, create an is_connected() method for the Graph. Also implement breadth-first search.
author Brian Neal <bgneal@gmail.com>
date Sun, 02 Dec 2012 21:51:51 -0600
parents 950a34c7e26b
children
rev   line source
bgneal@6 1 """This module contains the RandomGraph class.
bgneal@6 2
bgneal@6 3 """
bgneal@6 4 import random
bgneal@6 5 import itertools
bgneal@6 6
bgneal@6 7 from Graph import Graph, Edge
bgneal@6 8
bgneal@6 9
bgneal@6 10 class RandomGraph(Graph):
bgneal@6 11 """A RandomGraph is a Graph that adds a method to generate random edges."""
bgneal@6 12
bgneal@6 13 def add_random_edges(self, p=0.5):
bgneal@6 14 """This method first removes all edges, then adds edges at random such
bgneal@6 15 that the probability is p that there is an edge between any two nodes.
bgneal@6 16
bgneal@6 17 p must be a float between 0 and 1, inclusive.
bgneal@6 18
bgneal@6 19 """
bgneal@6 20 self.remove_all_edges()
bgneal@6 21
bgneal@6 22 # For each combination of 2 vertices, create an edge between them if we
bgneal@6 23 # select a random number [0.0, 1.0) that is less than p.
bgneal@6 24 for v, w in itertools.combinations(self.iterkeys(), 2):
bgneal@6 25 if random.random() <= p:
bgneal@6 26 self.add_edge(Edge(v, w))
bgneal@6 27
bgneal@6 28
bgneal@6 29 if __name__ == '__main__':
bgneal@6 30 import string
bgneal@6 31 import sys
bgneal@6 32 from Graph import Vertex
bgneal@6 33 from GraphWorld import GraphWorld, CircleLayout
bgneal@6 34
bgneal@6 35 def main(script_name, n=10, p=0.5):
bgneal@6 36
bgneal@6 37 n = int(n)
bgneal@6 38 p = float(p)
bgneal@6 39
bgneal@6 40 labels = string.ascii_lowercase + string.ascii_uppercase
bgneal@6 41 vs = [Vertex(c) for c in labels[:n]]
bgneal@6 42
bgneal@6 43 g = RandomGraph(vs)
bgneal@6 44 g.add_random_edges(p)
bgneal@6 45 layout = CircleLayout(g)
bgneal@6 46
bgneal@6 47 gw = GraphWorld()
bgneal@6 48 gw.show_graph(g, layout)
bgneal@6 49 gw.mainloop()
bgneal@6 50
bgneal@6 51 main(*sys.argv)
bgneal@6 52