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Linear programming is the study of optimizing a linear function over a set of linear inequalities. The Simplex Method, Ellipsoid Method and Interior Point Method are popular algorithms to solve linear programs.

2 votes

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 …
Neal Young's user avatar
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 …
Neal Young's user avatar