map - Best approach for redrawing weighted 2-D graph when weights change (MDS maybe)? -

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i'll try describe problem simplest possible.

assume have map plot points cities within map. cities connected line segments representing roads, there's graph line segments represent euclidean distance each road (these original weights).

i need make new graph line segments representing actual road lengths (new weights), while trying as possible keep original geometry unmodified.

i'm thinking metric multidimensional scaling way go, maybe there's simpler.


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