#9136: more named graphs
----------------------------+-----------------------------------------------
   Reporter:  mvngu         |       Owner:  jason, ncohen, rlm
       Type:  enhancement   |      Status:  new               
   Priority:  major         |   Milestone:  sage-wishlist     
  Component:  graph theory  |    Keywords:                    
     Author:                |    Upstream:  N/A               
   Reviewer:                |      Merged:                    
Work_issues:                |  
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Comment(by dimpase):

 Replying to [comment:17 rlm]:
 > Replying to [comment:7 dimpase]:
 > > IMHO there is a more fundamental issue here: Sage should handle such
 graphs in an efficient way --- just keeping all the edges is pretty much a
 waste, in particular for bigger examples with hundreds of vertices...
 >
 > The underlying architecture is already in place; one needs only to
 implement a GraphBackend which represents the graph in question.
 Implementing simple methods such as has_edge, has_vertex, etc. one can
 then get the rest of the methods automatically. Check out the source!

 I am not sure I understand how to implement things like add_vertex() and
 add_edge() - as we would start with a permutation group G, the set of
 vertices is the domain of the group, and edges cannot be added one by one,
 but only as whole G-orbits.
 (Alternatively, not all orbits of G are used as the vertex set, and then
 adding a vertex would mean adding its G-orbit.)

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/9136#comment:18>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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