#12379: Graph chromatic_number - change default algorithm.
----------------------------+-----------------------------------------------
   Reporter:  JoalHeagney   |          Owner:  jason, ncohen, rlm           
       Type:  enhancement   |         Status:  new                          
   Priority:  minor         |      Milestone:  sage-5.0                     
  Component:  graph theory  |       Keywords:  graph, MILP, chromatic_number
Work_issues:                |       Upstream:  N/A                          
   Reviewer:                |         Author:  JoalHeagney                  
     Merged:                |   Dependencies:                               
----------------------------+-----------------------------------------------

Old description:

> The following page in the documentation (and the sage docstring for this
> method)
> [http://www.sagemath.org/doc/reference/sage/graphs/graph.html]
> states chromatic_number uses the less efficient DLX algorithm by default,
> as opposed to the MILP algorithm.
>
> It's my understanding that sage now includes GLPK by default.
>
> I'd recommend that the default be changed to the more efficient
> algorithm="MILP".
>
> I've already created a ticket
> [http://trac.sagemath.org/sage_trac/ticket/12378] for the required change
> in documentation.

New description:

 The following page in the documentation (and the sage docstring for this
 method)
 [http://www.sagemath.org/doc/reference/sage/graphs/graph.html]
 states chromatic_number uses the less efficient DLX algorithm by default,
 as opposed to the MILP algorithm.

 It's my understanding that sage now includes GLPK by default.

 I'd recommend that the default be changed to the more efficient
 algorithm="MILP".

 I've already created a ticket
 [http://trac.sagemath.org/sage_trac/ticket/12378] for the required change
 in documentation.

 Additionally, someone should probably do a code check to see if there are
 other methods and functions that use default algorithms that are less
 efficient than already-written MILP alternatives.

--

Comment(by JoalHeagney):

 Additionally, someone should probably do a code check to see if there are
 other methods and functions that use default algorithms that are less
 efficient than already-written MILP alternatives.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/12379#comment:1>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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