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- W9061855 abstract "In the set cover problem we are given a collection of m sets whose union covers [n] = {1, . . . , n} and must find a minimum-sized subcollection whose union still covers [n]. We investigate the approximability of set cover by an approximation ratio that depends only on m and observe that, for any constant c < 1/2, set cover cannot be approximated to within O(2 1−1/(log log m)c m) unless SAT can be decided in slightly subexponential time. The main ingredients in the observation are the Ω(log n) hardness of approximation proof of Lund and Yannakakis and a hardness result for label cover due to Dinur and Safra." @default.
- W9061855 created "2016-06-24" @default.
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- W9061855 date "2007-01-01" @default.
- W9061855 modified "2023-09-23" @default.
- W9061855 title "A Note on Set Cover Inapproximability Independent of Universe Size" @default.
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