#12164: graph subgraph_search does not return copy of subgraph
----------------------------+-----------------------------------------------
   Reporter:  jason         |          Owner:  jason, ncohen, rlm
       Type:  defect        |         Status:  needs_review      
   Priority:  major         |      Milestone:  sage-4.8          
  Component:  graph theory  |       Keywords:                    
Work_issues:                |       Upstream:  N/A               
   Reviewer:                |         Author:  Jason Grout       
     Merged:                |   Dependencies:                    
----------------------------+-----------------------------------------------
Description changed by jason:

Old description:

> Consider this example:
>
> {{{
> sage: k3=graphs.CompleteGraph(3)
> sage: p3=graphs.PathGraph(3)
> sage: s=k3.subgraph_search(p3)
> sage: s.size()
> 3
> sage: s==k3
> True
> }}}
>
> The docs say that s should be a copy of p3.  The problem is that
> subgraph_search returns an *induced* subgraph of the bigger graph with
> the vertices of the copy of the smaller graph.
>
> Steve Butler suggests that instead, we copy the smaller graph and relabel
> the vertices appropriately, using the vertices returned from
> SubgraphSearch.  I like that solution.
>
> '''apply''': [attachment:trac-12164-subgraph_search.patch]

New description:

 Consider this example:

 {{{
 sage: k3=graphs.CompleteGraph(3)
 sage: p3=graphs.PathGraph(3)
 sage: s=k3.subgraph_search(p3)
 sage: s.size()
 3
 sage: s==k3
 True
 }}}

 The docs say that s should be a copy of p3.  The problem is that
 subgraph_search returns an *induced* subgraph of the bigger graph with the
 vertices of the copy of the smaller graph.

 '''apply''': [attachment:trac-12164-subgraph_search.patch]

--

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/12164#comment:5>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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