Ok, i've understood; you're problem is related to the one of drawing
planar graphs (is it correct?).
I can't tell you ('cause i don't know) a proper algorithm but you might
find it useful to look at this:

http://www.graphviz.org/Theory.php

at least to have an idea of what the problem is then try
scholar.google.com.

When you've done post the solution here, i'm intrested :)

Giacomo


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