Lecturer : Debmalya Panigrahi Scribe :
نویسندگان
چکیده
Recall that many combinatorial problems of interest can be encoded as integer linear programs. Solving integer linear programs is in general NP-hard, so we nearly always relax the integrality requirement into a linear constraint like nonnegativity during our analysis. Our previous algorithms for solving these problems never solved the relaxed program explicitly (e.g. using simplex). In LP rounding, we will directly round the fractional LP solution to generate an integral combinatorial solution. In most cases, this rounding will incur some loss on the solution value, so the results from LP rounding are often approximate.
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