Assigning XY positions to points based on a "weight" between them

Posted by sanity on Stack Overflow See other posts from Stack Overflow or by sanity
Published on 2011-01-15T21:08:39Z Indexed on 2011/01/15 21:53 UTC
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math

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graph

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clustering

I have a bunch of points in a graph, and for every pair of these points I have "weight" value indicating what their proximity should be, between -1 and 1.

I want to choose XY coordinates for these points such that those that have a proximity of 1 are in the same position, and those with a proximity of -1 are distant from each-other. All points must reside within a bounded area.

What algorithms should I investigate to achieve this?

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