Calculating Divergent Paths on Subtending Rings

Posted by Russ on Stack Overflow See other posts from Stack Overflow or by Russ
Published on 2010-05-11T05:17:41Z Indexed on 2010/05/12 17:54 UTC
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graph-theory

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shortest-path

I need to calculate two paths from A to B in the following graph, with the constraint that the paths can't share any edges:

hmm, okay, can't post images, here's a link.

All edges have positive weights; for this example I think we can assume that they're equal. My naive approach is to use Djikstra's algorithm to calculate the first path, shown in the second graph in the above image.

Then I remove the edges from the graph and try to calculate the second path, which fails. Is there a variation of Djikstra, Bellman-Ford (or anything else) that will calculate the paths shown in the third diagram above? (Without special knowledge and removal of the subtending link, is what I mean)

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