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This documents an unmaintained version of NetworkX. Please upgrade to a maintained version and see the current NetworkX documentation.

Source code for networkx.generators.atlas

"""
Generators for the small graph atlas.


See
"An Atlas of Graphs" by Ronald C. Read and Robin J. Wilson,
Oxford University Press, 1998.

Because of its size, this module is not imported by default.

"""
#    Copyright (C) 2004-2008 by 
#    Aric Hagberg <hagberg@lanl.gov>
#    Dan Schult <dschult@colgate.edu>
#    Pieter Swart <swart@lanl.gov>
#    All rights reserved.
#    BSD license.
__author__ = """Pieter Swart (swart@lanl.gov)"""
 
__all__ = ['graph_atlas_g']

from networkx.generators.small import make_small_graph

[docs]def graph_atlas_g(): """ Return the list [G0,G1,...,G1252] of graphs as named in the Graph Atlas. G0,G1,...,G1252 are all graphs with up to 7 nodes. The graphs are listed: 1. in increasing order of number of nodes; 2. for a fixed number of nodes, in increasing order of the number of edges; 3. for fixed numbers of nodes and edges, in increasing order of the degree sequence, for example 111223 < 112222; 4. for fixed degree sequence, in increasing number of automorphisms. Note that indexing is set up so that for GAG=graph_atlas_g(), then G123=GAG[123] and G[0]=empty_graph(0) """ descr_list=[ ['edgelist', 'G0', 0, []], ['edgelist', 'G1', 1, []], ['edgelist', 'G2', 2, []], ['edgelist', 'G3', 2, [[1, 2]]], ['edgelist', 'G4', 3, []], ['edgelist', 'G5', 3, [[2, 3]]], ['edgelist', 'G6', 3, [[1, 2], [1, 3]]], ['edgelist', 'G7', 3, [[1, 2], [1, 3], [2, 3]]], ['edgelist', 'G8', 4, []], ['edgelist', 'G9', 4, [[4, 3]]], ['edgelist', 'G10', 4, [[4, 3], [4, 2]]], ['edgelist', 'G11', 4, [[1, 2], [4, 3]]], ['edgelist', 'G12', 4, [[4, 3], [2, 3], [4, 2]]], ['edgelist', 'G13', 4, [[4, 1], [4, 2], [4, 3]]], ['edgelist', 'G14', 4, [[1, 2], [2, 3], [1, 4]]], ['edgelist', 'G15', 4, [[4, 3], [2, 3], [4, 2], [4, 1]]], ['edgelist', 'G16', 4, [[1, 2], [2, 3], [3, 4], [1, 4]]], ['edgelist', 'G17', 4, [[1, 2], [1, 3], [1, 4], [2, 3], [3, 4]]], ['edgelist', 'G18', 4, [[1, 2], [2, 3], [1, 3], [4, 1], [4, 2], [4, 3]]], ['edgelist', 'G19', 5, []], ['edgelist', 'G20', 5, [[5, 4]]], ['edgelist', 'G21', 5, [[2, 3], [1, 2]]], ['edgelist', 'G22', 5, [[1, 3], [5, 4]]], ['edgelist', 'G23', 5, [[2, 3], [1, 2], [3, 1]]], ['edgelist', 'G24', 5, [[5, 4], [4, 3], [4, 2]]], ['edgelist', 'G25', 5, [[4, 3], [5, 4], [1, 5]]], ['edgelist', 'G26', 5, [[2, 3], [1, 2], [5, 4]]], ['edgelist', 'G27', 5, [[5, 4], [2, 3], [4, 2], [4, 3]]], ['edgelist', 'G28', 5, [[1, 4], [2, 1], [3, 2], [4, 3]]], ['edgelist', 'G29', 5, [[5, 4], [5, 1], [5, 2], [5, 3]]], ['edgelist', 'G30', 5, [[5, 1], [4, 2], [5, 4], [4, 3]]], ['edgelist', 'G31', 5, [[3, 4], [2, 3], [1, 2], [5, 1]]], ['edgelist', 'G32', 5, [[2, 3], [1, 2], [3, 1], [5, 4]]], ['edgelist', 'G33', 5, [[1, 4], [3, 1], [4, 3], [2, 1], [3, 2]]], ['edgelist', 'G34', 5, [[5, 3], [5, 4], [3, 4], [5, 2], [5, 1]]], ['edgelist', 'G35', 5, [[1, 2], [2, 3], [3, 4], [1, 5], [1, 3]]], ['edgelist', 'G36', 5, [[5, 1], [2, 3], [5, 4], [4, 3], [4, 2]]], ['edgelist', 'G37', 5, [[2, 1], [5, 2], [3, 5], [4, 3], [2, 4]]], ['edgelist', 'G38', 5, [[1, 2], [2, 3], [3, 4], [4, 5], [1, 5]]], ['edgelist', 'G39', 5, [[2, 1], [5, 2], [5, 1], [1, 4], [2, 4], [4, 5]]], ['edgelist', 'G40', 5, [[2, 1], [5, 2], [3, 5], [4, 3], [2, 4], [3, 2]]], ['edgelist', 'G41', 5, [[2, 1], [5, 2], [3, 5], [4, 3], [2, 4], [4, 5]]], ['edgelist', 'G42', 5, [[1, 2], [5, 4], [3, 4], [5, 3], [5, 1], [5, 2]]], ['edgelist', 'G43', 5, [[1, 5], [4, 1], [5, 4], [3, 4], [2, 3], [1, 2]]], ['edgelist', 'G44', 5, [[3, 2], [1, 3], [4, 1], [2, 4], [5, 2], [1, 5]]], ['edgelist', 'G45', 5, [[5, 1], [2, 3], [5, 4], [4, 3], [4, 2], [5, 2], [3, 5]]], ['edgelist', 'G46', 5, [[5, 2], [3, 5], [4, 3], [2, 4], [4, 5], [1, 4], [5, 1]]], ['edgelist', 'G47', 5, [[1, 2], [2, 3], [3, 4], [4, 5], [1, 5], [2, 4], [5, 2]]], ['edgelist', 'G48', 5, [[3, 2], [1, 3], [4, 1], [2, 4], [5, 2], [1, 5], [3, 5]]], ['edgelist', 'G49', 5, [[2, 1], [5, 2], [3, 5], [4, 3], [2, 4], [5, 1], [4, 5], [1, 4]]], ['edgelist', 'G50', 5, [[1, 2], [2, 3], [3, 4], [1, 4], [5, 1], [5, 2], [5, 3], [5, 4]]], ['edgelist', 'G51', 5, [[1, 2], [4, 5], [1, 4], [1, 5], [2, 3], [2, 4], [2, 5], [3, 4], [3, 5]]], ['edgelist', 'G52', 5, [[1, 2], [1, 3], [1, 4], [1, 5], [2, 3], [2, 4], [2, 5], [3, 4], [3, 5], [4, 5]]], ['edgelist', 'G53', 6, []], ['edgelist', 'G54', 6, [[6, 5]]], ['edgelist', 'G55', 6, [[1, 4], [6, 5]]], ['edgelist', 'G56', 6, [[2, 4], [2, 3]]], ['edgelist', 'G57', 6, [[2, 4], [3, 2], [4, 3]]], ['edgelist', 'G58', 6, [[1, 4], [6, 1], [5, 1]]], ['edgelist', 'G59', 6, [[5, 4], [6, 5], [1, 6]]], ['edgelist', 'G60', 6, [[5, 4], [6, 2], [6, 3]]], ['edgelist', 'G61', 6, [[2, 3], [4, 1], [6, 5]]], ['edgelist', 'G62', 6, [[1, 4], [5, 1], [6, 5], [1, 6]]], ['edgelist', 'G63', 6, [[4, 1], [6, 4], [5, 6], [1, 5]]], ['edgelist', 'G64', 6, [[6, 2], [6, 4], [6, 3], [1, 6]]], ['edgelist', 'G65', 6, [[5, 4], [4, 2], [5, 1], [4, 3]]], ['edgelist', 'G66', 6, [[1, 3], [2, 4], [3, 2], [6, 4]]], ['edgelist', 'G67', 6, [[2, 4], [3, 2], [4, 3], [1, 6]]], ['edgelist', 'G68', 6, [[2, 3], [1, 4], [6, 1], [5, 1]]], ['edgelist', 'G69', 6, [[5, 6], [2, 3], [1, 6], [4, 5]]], ['edgelist', 'G70', 6, [[1, 3], [5, 1], [4, 2], [6, 4]]], ['edgelist', 'G71', 6, [[4, 1], [6, 4], [5, 6], [1, 5], [6, 1]]], ['edgelist', 'G72', 6, [[6, 4], [4, 2], [4, 3], [5, 4], [5, 6]]], ['edgelist', 'G73', 6, [[6, 4], [6, 5], [3, 4], [4, 5], [1, 5]]], ['edgelist', 'G74', 6, [[5, 4], [2, 3], [5, 1], [4, 3], [4, 2]]], ['edgelist', 'G75', 6, [[2, 5], [4, 5], [5, 1], [3, 2], [4, 3]]], ['edgelist', 'G76', 6, [[1, 2], [2, 3], [3, 4], [4, 5], [1, 5]]], ['edgelist', 'G77', 6, [[6, 4], [6, 5], [6, 1], [6, 2], [6, 3]]], ['edgelist', 'G78', 6, [[2, 5], [6, 2], [2, 1], [3, 2], [3, 4]]], ['edgelist', 'G79', 6, [[1, 2], [4, 5], [1, 3], [4, 1], [6, 4]]], ['edgelist', 'G80', 6, [[2, 1], [3, 2], [3, 5], [2, 4], [6, 4]]], ['edgelist', 'G81', 6, [[5, 4], [1, 6], [5, 1], [4, 3], [4, 2]]], ['edgelist', 'G82', 6, [[2, 3], [1, 2], [5, 6], [2, 4], [3, 4]]], ['edgelist', 'G83', 6, [[1, 2], [1, 6], [3, 4], [4, 5], [5, 6]]], ['edgelist', 'G84', 6, [[5, 4], [6, 2], [6, 3], [1, 4], [5, 1]]], ['edgelist', 'G85', 6, [[2, 3], [4, 1], [6, 4], [5, 6], [1, 5]]], ['edgelist', 'G86', 6, [[1, 4], [6, 1], [5, 6], [4, 5], [6, 4], [5, 1]]], ['edgelist', 'G87', 6, [[2, 5], [3, 5], [5, 1], [3, 4], [4, 2], [4, 5]]], ['edgelist', 'G88', 6, [[2, 5], [3, 5], [5, 1], [3, 2], [4, 2], [3, 4]]], ['edgelist', 'G89', 6, [[3, 1], [6, 5], [5, 4], [6, 4], [5, 1], [3, 5]]], ['edgelist', 'G90', 6, [[4, 3], [5, 4], [1, 5], [2, 1], [3, 2], [1, 4]]], ['edgelist', 'G91', 6, [[5, 2], [4, 2], [5, 3], [4, 3], [3, 1], [2, 1]]], ['edgelist', 'G92', 6, [[6, 3], [6, 4], [6, 5], [4, 5], [6, 2], [6, 1]]], ['edgelist', 'G93', 6, [[5, 4], [5, 3], [5, 1], [2, 5], [4, 1], [6, 4]]], ['edgelist', 'G94', 6, [[5, 4], [4, 6], [6, 5], [6, 2], [4, 3], [5, 1]]], ['edgelist', 'G95', 6, [[5, 3], [2, 3], [5, 4], [5, 2], [5, 1], [1, 6]]], ['edgelist', 'G96', 6, [[2, 3], [4, 2], [1, 4], [3, 1], [5, 1], [6, 1]]], ['edgelist', 'G97', 6, [[3, 1], [5, 3], [2, 5], [3, 2], [4, 2], [6, 4]]], ['edgelist', 'G98', 6, [[2, 3], [4, 2], [1, 4], [3, 1], [5, 1], [6, 4]]], ['edgelist', 'G99', 6, [[6, 4], [3, 6], [3, 1], [5, 3], [5, 4], [4, 2]]], ['edgelist', 'G100', 6, [[1, 3], [4, 5], [2, 1], [6, 4], [5, 6], [4, 1]]], ['edgelist', 'G101', 6, [[2, 3], [4, 1], [6, 4], [5, 6], [1, 5], [6, 1]]], ['edgelist', 'G102', 6, [[5, 4], [2, 3], [5, 1], [4, 3], [4, 2], [6, 1]]], ['edgelist', 'G103', 6, [[2, 5], [3, 5], [5, 1], [1, 6], [4, 2], [3, 4]]], ['edgelist', 'G104', 6, [[1, 2], [2, 3], [3, 4], [4, 5], [1, 5], [2, 6]]], ['edgelist', 'G105', 6, [[1, 2], [2, 3], [3, 4], [4, 5], [5, 6], [1, 6]]], ['edgelist', 'G106', 6, [[2, 4], [3, 2], [4, 3], [1, 5], [6, 1], [5, 6]]], ['edgelist', 'G107', 6, [[1, 2], [2, 3], [1, 3], [4, 1], [4, 2], [4, 3], [1, 6]]], ['edgelist', 'G108', 6, [[2, 5], [3, 5], [3, 2], [4, 2], [3, 4], [3, 1], [1, 2]]], ['edgelist', 'G109', 6, [[1, 2], [2, 3], [3, 4], [4, 5], [1, 5], [2, 4], [5, 2]]], ['edgelist', 'G110', 6, [[1, 2], [4, 3], [1, 3], [4, 1], [4, 2], [6, 2], [6, 3]]], ['edgelist', 'G111', 6, [[2, 5], [3, 5], [3, 4], [1, 5], [4, 2], [5, 6], [4, 5]]], ['edgelist', 'G112', 6, [[2, 1], [5, 2], [3, 5], [4, 3], [6, 2], [3, 6], [2, 3]]], ['edgelist', 'G113', 6, [[1, 5], [3, 1], [2, 3], [4, 2], [6, 4], [4, 1], [3, 4]]], ['edgelist', 'G114', 6, [[2, 5], [3, 5], [3, 4], [3, 2], [4, 2], [5, 6], [1, 5]]], ['edgelist', 'G115', 6, [[2, 1], [5, 2], [3, 5], [4, 3], [6, 2], [3, 6], [5, 6]]], ['edgelist', 'G116', 6, [[1, 2], [2, 3], [1, 3], [4, 1], [4, 2], [4, 3], [6, 5]]], ['edgelist', 'G117', 6, [[1, 6], [5, 1], [6, 5], [1, 3], [4, 1], [4, 3], [1, 2]]], ['edgelist', 'G118', 6, [[1, 2], [2, 3], [3, 4], [4, 5], [1, 5], [2, 6], [5, 2]]], ['edgelist', 'G119', 6, [[1, 2], [5, 1], [2, 5], [1, 3], [4, 1], [4, 3], [4, 6]]], ['edgelist', 'G120', 6, [[2, 5], [3, 5], [5, 1], [1, 6], [4, 2], [3, 4], [4, 5]]], ['edgelist', 'G121', 6, [[3, 1], [4, 3], [5, 4], [6, 5], [3, 6], [2, 3], [5, 2]]], ['edgelist', 'G122', 6, [[2, 6], [1, 2], [5, 1], [4, 5], [3, 4], [2, 3], [1, 4]]], ['edgelist', 'G123', 6, [[2, 5], [3, 5], [5, 1], [1, 6], [4, 2], [3, 4], [3, 2]]], ['edgelist', 'G124', 6, [[1, 2], [2, 3], [3, 4], [4, 5], [1, 5], [1, 3], [6, 2]]], ['edgelist', 'G125', 6, [[3, 1], [5, 2], [2, 3], [6, 5], [3, 6], [4, 2], [6, 4]]], ['edgelist', 'G126', 6, [[6, 1], [4, 6], [3, 4], [1, 3], [2, 4], [5, 2], [4, 5]]], ['edgelist', 'G127', 6, [[2, 4], [3, 2], [1, 3], [6, 1], [5, 6], [4, 5], [3, 4]]], ['edgelist', 'G128', 6, [[1, 2], [2, 3], [3, 4], [4, 5], [5, 6], [1, 6], [1, 4]]], ['edgelist', 'G129', 6, [[5, 4], [1, 5], [2, 1], [3, 2], [4, 3], [1, 6], [6, 4]]], ['edgelist', 'G130', 6, [[2, 3], [1, 2], [3, 1], [4, 1], [5, 4], [6, 5], [4, 6]]], ['edgelist', 'G131', 6, [[1, 2], [3, 6], [1, 3], [4, 1], [4, 2], [4, 3], [3, 2], [6, 2]]], ['edgelist', 'G132', 6, [[1, 2], [2, 3], [3, 4], [1, 4], [5, 1], [5, 2], [5, 3], [5, 4]]], ['edgelist', 'G133', 6, [[1, 2], [2, 3], [1, 3], [4, 1], [4, 2], [4, 3], [6, 1], [1, 5]]], ['edgelist', 'G134', 6, [[2, 3], [4, 2], [1, 4], [2, 1], [3, 1], [4, 3], [6, 4], [5, 1]]], ['edgelist', 'G135', 6, [[1, 2], [3, 5], [1, 3], [6, 3], [4, 2], [4, 3], [3, 2], [5, 2]]], ['edgelist', 'G136', 6, [[1, 2], [2, 3], [3, 4], [4, 5], [1, 5], [2, 4], [5, 2], [2, 6]]], ['edgelist', 'G137', 6, [[1, 2], [2, 3], [3, 4], [4, 5], [1, 5], [2, 4], [5, 2], [6, 5]]], ['edgelist', 'G138', 6, [[1, 2], [3, 6], [1, 3], [5, 1], [4, 2], [4, 3], [3, 2], [6, 2]]], ['edgelist', 'G139', 6, [[1, 2], [2, 3], [3, 4], [4, 5], [1, 5], [2, 4], [5, 2], [6, 1]]], ['edgelist', 'G140', 6, [[1, 2], [3, 6], [1, 3], [5, 1], [4, 2], [4, 3], [4, 1], [6, 2]]], ['edgelist', 'G141', 6, [[3, 1], [4, 3], [5, 4], [6, 5], [3, 6], [2, 3], [5, 2], [6, 4]]], ['edgelist', 'G142', 6, [[1, 2], [2, 3], [1, 3], [4, 1], [4, 2], [4, 3], [1, 6], [6, 5]]], ['edgelist', 'G143', 6, [[1, 2], [3, 6], [1, 3], [5, 1], [4, 2], [4, 3], [6, 2], [6, 4]]], ['edgelist', 'G144', 6, [[2, 5], [3, 5], [3, 4], [1, 5], [4, 2], [5, 6], [1, 6], [4, 5]]], ['edgelist', 'G145', 6, [[1, 2], [2, 3], [3, 4], [4, 5], [1, 5], [6, 1], [6, 3], [1, 3]]], ['edgelist', 'G146', 6, [[2, 6], [5, 2], [1, 5], [6, 1], [3, 6], [5, 3], [4, 5], [6, 4]]], ['edgelist', 'G147', 6, [[1, 2], [2, 3], [3, 4], [4, 5], [5, 6], [1, 6], [3, 5], [6, 3]]], ['edgelist', 'G148', 6, [[2, 4], [3, 2], [1, 3], [6, 1], [5, 6], [4, 5], [2, 5], [1, 2]]], ['edgelist', 'G149', 6, [[1, 2], [2, 3], [3, 4], [4, 5], [1, 5], [4, 1], [6, 3], [6, 1]]], ['edgelist', 'G150', 6, [[2, 5], [3, 5], [3, 4], [1, 5], [4, 2], [5, 6], [1, 6], [3, 2]]], ['edgelist', 'G151', 6, [[1, 2], [2, 3], [3, 4], [4, 5], [1, 5], [5, 6], [6, 4], [2, 6]]], ['edgelist', 'G152', 6, [[1, 2], [2, 3], [3, 4], [4, 5], [5, 6], [1, 6], [3, 5], [6, 2]]], ['edgelist', 'G153', 6, [[1, 2], [2, 3], [3, 4], [4, 5], [1, 5], [2, 6], [6, 3], [6, 1]]], ['edgelist', 'G154', 6, [[1, 2], [2, 3], [3, 4], [4, 5], [5, 6], [1, 6], [5, 2], [6, 3]]], ['edgelist', 'G155', 6, [[1, 2], [2, 3], [3, 4], [4, 5], [1, 5], [2, 4], [5, 2], [3, 5], [1, 4]]], ['edgelist', 'G156', 6, [[1, 2], [3, 6], [1, 3], [4, 1], [4, 2], [4, 3], [3, 2], [6, 2], [5, 3]]], ['edgelist', 'G157', 6, [[1, 2], [3, 6], [1, 3], [4, 1], [4, 2], [4, 3], [3, 2], [6, 2], [1, 5]]], ['edgelist', 'G158', 6, [[1, 2], [2, 3], [3, 4], [1, 4], [5, 1], [5, 2], [5, 3], [5, 4], [5, 6]]], ['edgelist', 'G159', 6, [[3, 1], [5, 2], [2, 3], [6, 5], [3, 6], [4, 2], [6, 4], [4, 3], [5, 4]]], ['edgelist', 'G160', 6, [[1, 2], [3, 6], [1, 3], [4, 1], [4, 2], [4, 3], [3, 2], [6, 2], [5, 6]]], ['edgelist', 'G161', 6, [[2, 6], [5, 2], [1, 5], [6, 1], [3, 6], [5, 3], [4, 5], [6, 4], [5, 6]]], ['edgelist', 'G162', 6, [[1, 2], [2, 3], [3, 4], [4, 5], [1, 5], [3, 6], [1, 6], [3, 1], [4, 1]]], ['edgelist', 'G163', 6, [[2, 4], [3, 2], [1, 3], [6, 1], [5, 6], [4, 5], [1, 5], [2, 1], [5, 2]]], ['edgelist', 'G164', 6, [[2, 4], [3, 2], [1, 3], [6, 1], [5, 6], [4, 5], [5, 2], [2, 1], [6, 2]]], ['edgelist', 'G165', 6, [[1, 2], [2, 3], [1, 3], [4, 1], [4, 2], [4, 3], [6, 5], [5, 1], [6, 1]]], ['edgelist', 'G166', 6, [[5, 4], [1, 5], [2, 1], [3, 2], [4, 3], [1, 6], [6, 4], [1, 4], [2, 6]]], ['edgelist', 'G167', 6, [[2, 4], [3, 2], [1, 3], [6, 1], [5, 6], [4, 5], [4, 3], [1, 4], [5, 1]]], ['edgelist', 'G168', 6, [[2, 4], [3, 2], [1, 3], [6, 1], [5, 6], [4, 5], [4, 3], [1, 4], [3, 5]]], ['edgelist', 'G169', 6, [[1, 2], [2, 3], [3, 4], [4, 5], [1, 5], [3, 6], [1, 6], [3, 1], [6, 2]]], ['edgelist', 'G170', 6, [[2, 6], [5, 2], [1, 5], [6, 1], [3, 6], [5, 3], [4, 5], [6, 4], [3, 1]]], ['edgelist', 'G171', 6, [[1, 2], [2, 3], [3, 4], [4, 5], [1, 5], [6, 1], [6, 5], [6, 3], [6, 4]]], ['edgelist', 'G172', 6, [[1, 2], [2, 3], [3, 4], [4, 5], [1, 5], [4, 1], [6, 3], [6, 1], [6, 2]]], ['edgelist', 'G173', 6, [[1, 2], [2, 3], [3, 4], [4, 5], [5, 6], [1, 6], [1, 4], [5, 3], [6, 3]]], ['edgelist', 'G174', 6, [[3, 4], [1, 3], [4, 1], [5, 4], [2, 5], [6, 2], [5, 6], [2, 1], [6, 3]]], ['edgelist', 'G175', 6, [[1, 2], [2, 3], [3, 4], [4, 5], [5, 6], [1, 6], [1, 4], [6, 3], [5, 2]]], ['edgelist', 'G176', 6, [[1, 2], [2, 3], [3, 4], [4, 5], [1, 5], 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