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Results tagged with approximation-algorithms
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user 27773
An approximation algorithm is an algorithm that finds an approximate solution to a (typically NP-hard) problem. The quality of the algorithm is measured by how close to the actual optimum it performs. For example, it is a constant factor approximation algorithm if it always outputs a solution that is within a constant factor of the optimum. Hardness of approximation is one way to separate NP-hard problems.
2
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Set Cover:Greedy vs LP
This is really a comment, not an answer, but for whatever reason I see no comment field.
You can view the standard greedy set cover algorithm as a derandomization (using the method of conditional pr …
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1
vote
Approximate Set Cover Problem by Rounding
Yes, I believe there are instances of set cover where optimal basic feasible solutions (vertices of the polytope) have coordinates in $(0,1/f)$. Here is (I think) an example with $f=3$.
Create 13 se …
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