Magisterial 发表于 2025-3-30 09:59:05
Smooth Dynamical Systems on Smooth Manifoldsed version of Diophantine approximation is also hard to approximate. Furthermore we prove that the . problem with arbitrary capacities is NP-hard. This solves an open problem raised by Conforti, Di Summa and Wolsey.Commentary 发表于 2025-3-30 13:25:31
I. P. Cornfeld,S. V. Fomin,Ya. G. Sinairoblems is not optimal in our framework. We design a new LP relaxation and show that this LP relaxation coupled with a new randomized rounding technique is optimal in our framework..In passing, we note that our results strictly improve over previous results of Kleinberg, Papadimitriou and Raghavan [乐意 发表于 2025-3-30 19:29:30
Ergodic Theory and Dynamical Systemsn integrality gap of 4, even in this special case. Then we prove that the problem is NP-hard to approximate within a factor of 2 assuming the Unique Games Conjecture; and it is unconditionally NP-hard to approximate within a factor 17/16. Finally, we extend the APX-hardness of the problem to the speVAN 发表于 2025-3-30 20:41:53
Ergodic Theory and Dynamical Systemsal., FOCS 2006] and . This technique seems quite robust and was already used in order to improve the ratio of Buy-at-bulk with protection (Antonakopoulos et al FOCS 2007) from log.. to log... See ?..We also consider the . (.) problem which is closely related to .: given aEndometrium 发表于 2025-3-31 04:21:35
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New Hardness Results for Diophantine Approximationed version of Diophantine approximation is also hard to approximate. Furthermore we prove that the . problem with arbitrary capacities is NP-hard. This solves an open problem raised by Conforti, Di Summa and Wolsey.ATP861 发表于 2025-3-31 18:48:09
PASS Approximationroblems is not optimal in our framework. We design a new LP relaxation and show that this LP relaxation coupled with a new randomized rounding technique is optimal in our framework..In passing, we note that our results strictly improve over previous results of Kleinberg, Papadimitriou and Raghavan [MAUVE 发表于 2025-4-1 01:29:19
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