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