#14105: all_graph_colorings should have an option to use integer colors.
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       Reporter:  rowland             |         Owner:  jason, ncohen, rlm
           Type:  enhancement         |        Status:  new               
       Priority:  minor               |     Milestone:  sage-5.8          
      Component:  graph theory        |    Resolution:                    
       Keywords:                      |   Work issues:                    
Report Upstream:  N/A                 |     Reviewers:  chrisjamesberg    
        Authors:  ahmorales, rowland  |     Merged in:                    
   Dependencies:                      |      Stopgaps:                    
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Description changed by ncohen:

Old description:

> This is ugly:
>
> sage: from sage.graphs.graph_coloring import all_graph_colorings
> sage: g = Graph([[0, 1], [1, 2]])
> sage: list(all_graph_colorings(g, 3))
> [{'#00ff00': [1], '#ff0000': [0, 2]}, {'#00ff00': [1], '#ff0000': [0],
> '#0000ff': [2]}, {'#0000ff': [1], '#ff0000': [0, 2]}, {'#0000ff': [1],
> '#ff0000': [0], '#00ff00': [2]}, {'#ff0000': [1], '#00ff00': [0, 2]},
> {'#ff0000': [1], '#00ff00': [0], '#0000ff': [2]}, {'#0000ff': [1],
> '#ff0000': [2], '#00ff00': [0]}, {'#0000ff': [1], '#00ff00': [0, 2]},
> {'#ff0000': [1], '#0000ff': [0], '#00ff00': [2]}, {'#ff0000': [1],
> '#0000ff': [0, 2]}, {'#00ff00': [1], '#ff0000': [2], '#0000ff': [0]},
> {'#00ff00': [1], '#0000ff': [0, 2]}]

New description:

 This is ugly:
 {{{
 sage: from sage.graphs.graph_coloring import all_graph_colorings
 sage: g = Graph([[0, 1], [1, 2]])
 sage: list(all_graph_colorings(g, 3))
 [{'#00ff00': [1], '#ff0000': [0, 2]}, {'#00ff00': [1], '#ff0000': [0],
 '#0000ff': [2]}, {'#0000ff': [1], '#ff0000': [0, 2]}, {'#0000ff': [1],
 '#ff0000': [0], '#00ff00': [2]}, {'#ff0000': [1], '#00ff00': [0, 2]},
 {'#ff0000': [1], '#00ff00': [0], '#0000ff': [2]}, {'#0000ff': [1],
 '#ff0000': [2], '#00ff00': [0]}, {'#0000ff': [1], '#00ff00': [0, 2]},
 {'#ff0000': [1], '#0000ff': [0], '#00ff00': [2]}, {'#ff0000': [1],
 '#0000ff': [0, 2]}, {'#00ff00': [1], '#ff0000': [2], '#0000ff': [0]},
 {'#00ff00': [1], '#0000ff': [0, 2]}]
 }}}

--

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/14105#comment:1>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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