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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.

"""
#    Aric Hagberg <hagberg@lanl.gov>
#    Dan Schult <dschult@colgate.edu>
#    Pieter Swart <swart@lanl.gov>
__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',
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