Mercurial > public > think_complexity
view GraphCode.py @ 26:f6073c187926
Added a version of Dijkstra that uses a heap.
author | Brian Neal <bgneal@gmail.com> |
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date | Sat, 05 Jan 2013 13:30:58 -0600 |
parents | 04e3a6590139 |
children |
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""" Code example from Complexity and Computation, a book about exploring complexity science with Python. Available free from http://greenteapress.com/complexity Copyright 2011 Allen B. Downey. Distributed under the GNU General Public License at gnu.org/licenses/gpl.html. """ class Vertex(object): """A Vertex is a node in a graph.""" def __init__(self, label=''): self.label = label def __repr__(self): """Returns a string representation of this object that can be evaluated as a Python expression.""" return 'Vertex(%s)' % repr(self.label) __str__ = __repr__ """The str and repr forms of this object are the same.""" class Edge(tuple): """An Edge is a list of two vertices.""" def __new__(cls, *vs): """The Edge constructor takes two vertices.""" if len(vs) != 2: raise ValueError, 'Edges must connect exactly two vertices.' return tuple.__new__(cls, vs) def __repr__(self): """Return a string representation of this object that can be evaluated as a Python expression.""" return 'Edge(%s, %s)' % (repr(self[0]), repr(self[1])) __str__ = __repr__ """The str and repr forms of this object are the same.""" class Graph(dict): """A Graph is a dictionary of dictionaries. The outer dictionary maps from a vertex to an inner dictionary. The inner dictionary maps from other vertices to edges. For vertices a and b, graph[a][b] maps to the edge that connects a->b, if it exists.""" def __init__(self, vs=[], es=[]): """Creates a new graph. vs: list of vertices; es: list of edges. """ for v in vs: self.add_vertex(v) for e in es: self.add_edge(e) def add_vertex(self, v): """Add a vertex to the graph.""" self[v] = {} def add_edge(self, e): """Adds and edge to the graph by adding an entry in both directions. If there is already an edge connecting these Vertices, the new edge replaces it. """ v, w = e self[v][w] = e self[w][v] = e def main(script, *args): v = Vertex('v') print v w = Vertex('w') print w e = Edge(v, w) print e g = Graph([v,w], [e]) print g if __name__ == '__main__': import sys main(*sys.argv)