Amazing families of algorithms over implicit graphs

Posted by Diego de Estrada on Stack Overflow See other posts from Stack Overflow or by Diego de Estrada
Published on 2010-04-22T03:02:21Z Indexed on 2010/04/22 3:23 UTC
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Dynamic programming is, almost by definition, to find a shortest/longest path on an implicit dag. Every DP algorithm just does this.

An Holographic algorithm can be loosely described as something that counts perfect matchings in implicit planar graphs.

So, my question is: are there any other families of algorithms that use well-known algorithms over implicit graphs to achieve a considerable speedup?

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