So I am trying to do a literature search, but am unsure of the name of
the problem.  I have a graph with edges weighted according to euclidean
seperations of nodes (magnitudes only, no directional information).  I
am trying to convert this information into a n-dimensional space
"embedding" (not sure this is what I should call it) of the graph.
Such a representation will have nodes placed in space with seperation
magnitudes the same as that of the graph edge weightings.  Has anyone
heard of anything like this?

I have an algorithm, but it only seems to work some on the time (but
that may be due to rotten data)...

Caveats:

Please do ignore the unimportant degrees of freedom such as overall
position, orientation, and inversion, these are not a great concern.

Also, the multiple solutions of triangulation (circle intersections)
may be ignored.  I know there is no unique solution, but is my hope
that I can massage an algorithm to give me the info I need.

Also, ofcourse this is not in general possible to do.  These graphs are
somewhat special in that they form a space filling mesh of triangles.


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