#10276: Create a random triangulation (max planar graph)
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   Reporter:  edward.scheinerman  |          Owner:  jason, ncohen, rlm
       Type:  enhancement         |         Status:  needs_info        
   Priority:  major               |      Milestone:                    
  Component:  graph theory        |       Keywords:                    
Work_issues:                      |       Upstream:  N/A               
   Reviewer:                      |         Author:  Ed Scheinerman    
     Merged:                      |   Dependencies:                    
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Changes (by rbeezer):

  * status:  new => needs_info


Old description:

> This is a new graph generator to create a random triangulation, i.e., a
> random planar graph all of whose faces are triangles (3-cycles). We do
> this by generation points iid uniformly on the surface of a sphere,
> finding the convex hull of those points, and returning the 1-skeleton of
> that polyhedron.

New description:

 This is a new graph generator to create a random triangulation, i.e., a
 random planar graph all of whose faces are triangles (3-cycles). We do
 this by generation points iid uniformly on the surface of a sphere,
 finding the convex hull of those points, and returning the 1-skeleton of
 that polyhedron.

 '''Apply:'''

 1. [attachment:trac_10276-random-triangulation-rebase.patch]

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Comment:

 Dear Ed,

 Nice.  I needed this for a course, so I rebased it against 4.8.alpha6.
 Only the author credit was failing, so it was a trivial fix.

 How much work would it be to get layout information from the locations on
 the sphere?  I would think a projection onto the plane might be better
 than what a planar layout currently provides and would be simpler
 computationally.  Could you easily locate the "largest" face to be the
 exterior?

 I'll try to stick with this for a review - I'd like to see it in Sage.

 Thanks,
 Rob

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/10276#comment:2>
Sage <http://www.sagemath.org>
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