Simple reduction (NP completeness)

Posted by Allen on Stack Overflow See other posts from Stack Overflow or by Allen
Published on 2009-11-20T02:16:00Z Indexed on 2010/04/11 4:03 UTC
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np-complete

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reduction

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shortest-path

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hey guys I'm looking for a means to prove that the bicriteria shortest path problem is np complete. That is, given a graph with lengths and weights, I need to know if a there exists a path in the graph from s to t with total length <= L and weight <= W.

I know that i must take an NP complete problem and reduce it to this one. We have at our disposal the following problems to choose from: 3-SAT, independent set, vertex cover, hamiltonian cycle, and 3-dimensional matching.

Any ideas on which may be viable?

thanks

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