You can use GraphViz, which is a layout engine for displaying graphs. When specifying an edge, you can give a len attribute to specify a preferred length. It will try to find a layout that is close possible to your suggestions. There are other GraphViz options like model that might be relevant as well.
However, you should have low expectations that your arbitrary metric can be embedded into low-dimensional Euclidean space in a way that (approximately) preserves distances. Your data might be unavoidably high-dimensional, and so you simply may not be able to get good results with this approach.
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Are you posting in the right place? Check out Where do I post X? to know for sure.
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Posts may use any of the Perl Monks Approved HTML tags. Currently these include the following:
<code> <a> <b> <big>
<blockquote> <br /> <dd>
<dl> <dt> <em> <font>
<h1> <h2> <h3> <h4>
<h5> <h6> <hr /> <i>
<li> <nbsp> <ol> <p>
<small> <strike> <strong>
<sub> <sup> <table>
<td> <th> <tr> <tt>
<u> <ul>
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Snippets of code should be wrapped in
<code> tags not
<pre> tags. In fact, <pre>
tags should generally be avoided. If they must
be used, extreme care should be
taken to ensure that their contents do not
have long lines (<70 chars), in order to prevent
horizontal scrolling (and possible janitor
intervention).
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Want more info? How to link
or How to display code and escape characters
are good places to start.
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